From 156202ada0a33f27599e013106d279f0efca3c67 Mon Sep 17 00:00:00 2001 From: oleg20111511 Date: Mon, 22 Apr 2024 16:45:09 +0300 Subject: [PATCH] 2023 rcpc --- .../{conditions.pdf => statement.pdf} | Bin .../10-12_d1/{condition.pdf => statement.pdf} | Bin .../10-12_d2/{condition.pdf => statement.pdf} | Bin .../7-9_d1/{condition.pdf => statement.pdf} | Bin .../7-9_d2/{condition.pdf => statement.pdf} | Bin .../09_d1/{condition.pdf => statement.pdf} | Bin .../09_d2/{condition.pdf => statement.pdf} | Bin .../10_d1/{condition.pdf => statement.pdf} | Bin .../10_d2/{condition.pdf => statement.pdf} | Bin .../11_d1/{condition.pdf => statement.pdf} | Bin .../11_d2/{condition.pdf => statement.pdf} | Bin .../12_d1/{condition.pdf => statement.pdf} | Bin .../12_d2/{condition.pdf => statement.pdf} | Bin .../{condition_prince.jpg => statement.jpg} | Bin ...{condition_moda.jpg => statement_moda.jpg} | Bin 2023/rcpc/d1/ statements.pdf | Bin 0 -> 342171 bytes .../A. Yet Another Colored Tree Problem.cpp | 62 +++ 2023/rcpc/d1/editorial/B. Coins.cpp | 38 ++ .../editorial/C. Almost Tree Cut - alungu.cpp | 225 ++++++++++ .../editorial/C. Almost Tree Cut - gheal.cpp | 87 ++++ 2023/rcpc/d1/editorial/D. Doping 2.cpp | 143 +++++++ ... Anton Would Approve This Problem - dp.cpp | 46 ++ ...on Would Approve This Problem - greedy.cpp | 38 ++ ...ifference In Skill - difference arrays.cpp | 49 +++ .... Difference In Skill - monotone stack.cpp | 45 ++ 2023/rcpc/d1/editorial/G. Sign Flipping.cpp | 32 ++ .../H. The Binary Matrix of All Time.cpp | 17 + .../d1/editorial/I. Weird Divisibility.cpp | 58 +++ .../d1/editorial/J. Triple Reverse Sort.cpp | 26 ++ .../d1/editorial/K. Distinctness Queries.cpp | 100 +++++ .../d1/editorial/L. Best or Worst - gheal.cpp | 0 .../editorial/L. Best or Worst - juve45.cpp | 168 ++++++++ .../RCPCamp_2023_Iasi_Day_Editorial.pdf | Bin 0 -> 180557 bytes .../RCPC_2023_Day_2_Final_Editorial.pdf | Bin 0 -> 178395 bytes .../d2/editorial/a-maximum-distance-40.cpp | 66 +++ .../d2/editorial/a-maximum-distance-585.cpp | 45 ++ .../d2/editorial/b-the-floor-is-lava-46.cpp | 161 +++++++ .../d2/editorial/b-the-floor-is-lava-583.cpp | 123 ++++++ .../d2/editorial/b-the-floor-is-lava-651.cpp | 311 ++++++++++++++ 2023/rcpc/d2/editorial/c-basketball-655.cpp | 26 ++ 2023/rcpc/d2/editorial/d-edenland-69.cpp | 70 ++++ 2023/rcpc/d2/editorial/e-fiboxor-52.cpp | 60 +++ 2023/rcpc/d2/editorial/e-fiboxor-589.cpp | 43 ++ 2023/rcpc/d2/editorial/f-suceava-537.cpp | 383 +++++++++++++++++ 2023/rcpc/d2/editorial/f-suceava-663.cpp | 308 ++++++++++++++ 2023/rcpc/d2/editorial/g-minimize-sum-31.cpp | 39 ++ 2023/rcpc/d2/editorial/g-minimize-sum-668.cpp | 73 ++++ 2023/rcpc/d2/editorial/h-ai-thoughts-590.cpp | 108 +++++ 2023/rcpc/d2/editorial/h-ai-thoughts-60.cpp | 132 ++++++ 2023/rcpc/d2/editorial/i-ksumt-586.cpp | 81 ++++ 2023/rcpc/d2/editorial/i-ksumt-67.cpp | 102 +++++ 2023/rcpc/d2/editorial/j-parallelogram-38.cpp | 45 ++ 2023/rcpc/d2/editorial/k-blabla-49.cpp | 289 +++++++++++++ 2023/rcpc/d2/editorial/k-blabla-681.cpp | 166 ++++++++ 2023/rcpc/d2/editorial/l-dush-108.cpp | 92 ++++ 2023/rcpc/d2/editorial/l-dush-682.cpp | 88 ++++ 2023/rcpc/d2/editorial/m-dragons-694.cpp | 393 ++++++++++++++++++ 2023/rcpc/d2/editorial/m-dragons-696.cpp | 122 ++++++ 2023/rcpc/d2/statements.pdf | Bin 0 -> 671578 bytes 2023/rcpc/link.txt | 2 + .../{conditions.pdf => statement.pdf} | Bin 61 files changed, 4462 insertions(+) rename 2017/republic/{conditions.pdf => statement.pdf} (100%) rename 2018/republic/10-12_d1/{condition.pdf => statement.pdf} (100%) rename 2018/republic/10-12_d2/{condition.pdf => statement.pdf} (100%) rename 2018/republic/7-9_d1/{condition.pdf => statement.pdf} (100%) rename 2018/republic/7-9_d2/{condition.pdf => statement.pdf} (100%) rename 2019/republic/09_d1/{condition.pdf => statement.pdf} (100%) rename 2019/republic/09_d2/{condition.pdf => statement.pdf} (100%) rename 2019/republic/10_d1/{condition.pdf => statement.pdf} (100%) rename 2019/republic/10_d2/{condition.pdf => statement.pdf} (100%) rename 2019/republic/11_d1/{condition.pdf => statement.pdf} (100%) rename 2019/republic/11_d2/{condition.pdf => statement.pdf} (100%) rename 2019/republic/12_d1/{condition.pdf => statement.pdf} (100%) rename 2019/republic/12_d2/{condition.pdf => statement.pdf} (100%) rename 2020/sector/{condition_prince.jpg => statement.jpg} (100%) rename 2020/sector/{condition_moda.jpg => statement_moda.jpg} (100%) create mode 100644 2023/rcpc/d1/ statements.pdf create mode 100644 2023/rcpc/d1/editorial/A. Yet Another Colored Tree Problem.cpp create mode 100644 2023/rcpc/d1/editorial/B. Coins.cpp create mode 100644 2023/rcpc/d1/editorial/C. Almost Tree Cut - alungu.cpp create mode 100644 2023/rcpc/d1/editorial/C. Almost Tree Cut - gheal.cpp create mode 100644 2023/rcpc/d1/editorial/D. Doping 2.cpp create mode 100644 2023/rcpc/d1/editorial/E. Anton Would Approve This Problem - dp.cpp create mode 100644 2023/rcpc/d1/editorial/E. Anton Would Approve This Problem - greedy.cpp create mode 100644 2023/rcpc/d1/editorial/F. Difference In Skill - difference arrays.cpp create mode 100644 2023/rcpc/d1/editorial/F. Difference In Skill - monotone stack.cpp create mode 100644 2023/rcpc/d1/editorial/G. Sign Flipping.cpp create mode 100644 2023/rcpc/d1/editorial/H. The Binary Matrix of All Time.cpp create mode 100644 2023/rcpc/d1/editorial/I. Weird Divisibility.cpp create mode 100644 2023/rcpc/d1/editorial/J. Triple Reverse Sort.cpp create mode 100644 2023/rcpc/d1/editorial/K. Distinctness Queries.cpp create mode 100644 2023/rcpc/d1/editorial/L. Best or Worst - gheal.cpp create mode 100644 2023/rcpc/d1/editorial/L. Best or Worst - juve45.cpp create mode 100644 2023/rcpc/d1/editorial/RCPCamp_2023_Iasi_Day_Editorial.pdf create mode 100644 2023/rcpc/d2/editorial/RCPC_2023_Day_2_Final_Editorial.pdf create mode 100644 2023/rcpc/d2/editorial/a-maximum-distance-40.cpp create mode 100644 2023/rcpc/d2/editorial/a-maximum-distance-585.cpp create mode 100644 2023/rcpc/d2/editorial/b-the-floor-is-lava-46.cpp create mode 100644 2023/rcpc/d2/editorial/b-the-floor-is-lava-583.cpp create mode 100644 2023/rcpc/d2/editorial/b-the-floor-is-lava-651.cpp create mode 100644 2023/rcpc/d2/editorial/c-basketball-655.cpp create mode 100644 2023/rcpc/d2/editorial/d-edenland-69.cpp create mode 100644 2023/rcpc/d2/editorial/e-fiboxor-52.cpp create mode 100644 2023/rcpc/d2/editorial/e-fiboxor-589.cpp create mode 100644 2023/rcpc/d2/editorial/f-suceava-537.cpp create mode 100644 2023/rcpc/d2/editorial/f-suceava-663.cpp create mode 100644 2023/rcpc/d2/editorial/g-minimize-sum-31.cpp create mode 100644 2023/rcpc/d2/editorial/g-minimize-sum-668.cpp create mode 100644 2023/rcpc/d2/editorial/h-ai-thoughts-590.cpp create mode 100644 2023/rcpc/d2/editorial/h-ai-thoughts-60.cpp create mode 100644 2023/rcpc/d2/editorial/i-ksumt-586.cpp create mode 100644 2023/rcpc/d2/editorial/i-ksumt-67.cpp create mode 100644 2023/rcpc/d2/editorial/j-parallelogram-38.cpp create mode 100644 2023/rcpc/d2/editorial/k-blabla-49.cpp create mode 100644 2023/rcpc/d2/editorial/k-blabla-681.cpp create mode 100644 2023/rcpc/d2/editorial/l-dush-108.cpp create mode 100644 2023/rcpc/d2/editorial/l-dush-682.cpp create mode 100644 2023/rcpc/d2/editorial/m-dragons-694.cpp create mode 100644 2023/rcpc/d2/editorial/m-dragons-696.cpp create mode 100644 2023/rcpc/d2/statements.pdf create mode 100644 2023/rcpc/link.txt rename 2023/republic/{conditions.pdf => statement.pdf} (100%) diff --git a/2017/republic/conditions.pdf b/2017/republic/statement.pdf similarity index 100% rename from 2017/republic/conditions.pdf rename to 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Yet Another Colored Tree Problem.cpp b/2023/rcpc/d1/editorial/A. Yet Another Colored Tree Problem.cpp new file mode 100644 index 0000000..1dc4951 --- /dev/null +++ b/2023/rcpc/d1/editorial/A. Yet Another Colored Tree Problem.cpp @@ -0,0 +1,62 @@ +/// Gheorghies Alexandru +#include + +using namespace std; +typedef long long ll; +typedef pair pll; +const ll NMAX=5e5+5,MOD=1e9+7; +ll dp[NMAX],col[NMAX],prv[NMAX],ans[NMAX],p[NMAX],subtreeSize[NMAX]; +vector edg[NMAX]; +void dfs(ll u){ + ll formerprv=prv[col[p[u]]]; + subtreeSize[u]=1; + prv[col[p[u]]]=u; + for(auto it : edg[u]){ + if(it!=p[u]){ + p[it]=u; + dfs(it); + subtreeSize[u]+=subtreeSize[it]; + } + } + ll v=prv[col[u]]; + if(v==1) + ans[col[u]]-=subtreeSize[u]; + else + dp[v]-=subtreeSize[u]; + prv[col[p[u]]]=formerprv; + dp[u]+=subtreeSize[u]; +} +void tc(){ + ll n,k; + cin>>n>>k; + + for(ll i=1;i<=n;i++){ + dp[i]=p[i]=subtreeSize[i]=0,prv[i]=1,edg[i].clear(); + ans[i]=n; + cin>>col[i]; + } + for(ll i=1;i>u>>v; + edg[u].push_back(v); + edg[v].push_back(u); + } + dfs(1); + for(ll i=1;i<=k;i++) ans[i]*=ans[i]; + for(ll i=2;i<=n;i++){ + ans[col[p[i]]]+=dp[i]*dp[i]; + } + for(ll i=1;i<=k;i++) + cout<>t; while(t--) + tc(); + return 0; +} diff --git a/2023/rcpc/d1/editorial/B. Coins.cpp b/2023/rcpc/d1/editorial/B. Coins.cpp new file mode 100644 index 0000000..e199477 --- /dev/null +++ b/2023/rcpc/d1/editorial/B. Coins.cpp @@ -0,0 +1,38 @@ +/// Gheorghies Alexandru +#include + +using namespace std; +typedef long long ll; +typedef pair pll; + +bool isPrime(ll num){ + if(num < 2) + return false; + + for(ll divisor = 2; divisor * divisor <= num; divisor++){ + if(num % divisor == 0) + return false; + } + return true; +} +int main() +{ + ios_base::sync_with_stdio(false); cin.tie(0); + + ll k; + cin>>k; + for(ll i = 0; i < k; i++){ + ll n; + cin>>n; + if(n == 9) + cout<<"Second\n"; + else if(n == 3) + cout<<"First\n"; + else if(isPrime(n)) + cout<<"Second\n"; + else + cout<<"First\n"; + } + return 0; +} + diff --git a/2023/rcpc/d1/editorial/C. Almost Tree Cut - alungu.cpp b/2023/rcpc/d1/editorial/C. Almost Tree Cut - alungu.cpp new file mode 100644 index 0000000..c150aba --- /dev/null +++ b/2023/rcpc/d1/editorial/C. Almost Tree Cut - alungu.cpp @@ -0,0 +1,225 @@ +/// Lungu Alexandru +#include +#include +#include +#include +#include +#include + +using namespace std; +void debug_out() { cerr << endl; } +template ostream& prnt(ostream& out, T v) { out << v.size() << '\n'; for(auto e : v) out << e << ' '; return out;} +template ostream& operator<<(ostream& out, vector v) { return prnt(out, v); } +template ostream& operator<<(ostream& out, set v) { return prnt(out, v); } +template ostream& operator<<(ostream& out, map v) { return prnt(out, v); } +template ostream& operator<<(ostream& out, pair p) { return out << '(' << p.first << ' ' << p.second << ')'; } +template void debug_out(Head H, Tail... T) { cerr << " " << H; debug_out(T...);} +#define dbg(...) cerr << #__VA_ARGS__ << " ->", debug_out(__VA_ARGS__) +#define dbg_v(x, n) do{cerr<<#x"[]: ";for(int _=0;_ +#define MOD 1000000007 +#define zeros(x) x&(x-1)^x +#define fi first +#define se second + +const long double PI = acos(-1); +const bool ASSERT = true; +const int NMAX = 2 * 1e5; + +int n; +ll totalCost, dp[2 * NMAX + 5], cost[2 * NMAX + 5]; +bool vis[2 * NMAX + 5]; +vector v[2 * NMAX + 5]; + +void check(ll partA, ll partB, ll& answer) +{ + // dbg(partA, partB, answer); + if (ASSERT) + { + assert(partA > 0 && "Part A is 0"); + assert(partB > 0 && "Part A is 0"); + assert(partA + partB == totalCost && "Parts are invalid"); + } + answer = min(answer, abs(partA - partB)); +} + +int dfs(int x, vector& path, vector& cycle, int prev = -1) +{ + path.push_back(x); + vis[x] = 1; + for (int next : v[x]) + { + if (next == prev) continue; + if (vis[next]) + { + while (path.back() != next) + { + cycle.push_back(path.back()); + path.pop_back(); + } + cycle.push_back(next); + return 1; + } + if (dfs(next, path, cycle, x)) return 1; + } + path.pop_back(); + return 0; +} + +ll solve1_subtree(int root, int prev, ll& answer) +{ + if (ASSERT) + { + assert(prev != root && "Invalid parameters solve1 (2)"); + // assert(find(v[root].begin(), v[root].end(), prev) != v[root].end() && "Invalid cycle invariant in solve1 (3)"); + } + + ll subTreeCost = cost[root]; + for (int next : v[root]) + { + if (next == prev) continue; + subTreeCost += solve1_subtree(next, root, answer); + } + + check(subTreeCost, totalCost - subTreeCost, answer); + dp[root] = subTreeCost; + return subTreeCost; +} + +ll solve1(int x, int prev, int next) +{ + if (ASSERT) + { + assert(prev != next && prev != x && x != next && "Invalid parameters solve1 (1)"); + // assert(find(v[x].begin(), v[x].end(), prev) != v[x].end() && "Invalid cycle invariant in solve1 (1)"); + // assert(find(v[x].begin(), v[x].end(), next) != v[x].end() && "Invalid cycle invariant in solve1 (2)"); + } + + dp[x] = cost[x]; + if (v[x].size() == 2) + { + return 1e18; + } + + ll answer = 1e18; + for (int root : v[x]) + { + if (root == prev || root == next) continue; + ll subTreeCost = solve1_subtree(root, x, answer); + dp[x] += subTreeCost; + } + + if (ASSERT) + { + assert(answer < 1e18 && "Invalid answer after solve1"); + } + return answer; +} + +int main() +{ + ios::sync_with_stdio(false); + + cin >> n; + + ll answer = 1e18; + + for (int i = 0; i < n; i++) + { + cin >> cost[i + 1]; + totalCost += cost[i + 1]; + } + + for (int i = 0; i < n; i++) + { + int x, y; + cin >> x >> y; + v[x].push_back(y); + v[y].push_back(x); + } + + vector cycle; + vector path; + dfs(1, path, cycle); + + if (ASSERT) + { + assert(cycle.size() >= 3 && "Cycle size is too small"); + for (int i = 0; i < cycle.size(); i++) + { + int now = cycle[i]; + int next = i + 1 == cycle.size() ? cycle[0] : cycle[i + 1]; + // assert(find(v[now].begin(), v[now].end(), next) != v[now].end() && "Cycle is invalid."); + } + } + + // case 1: edge from cycle + edge from outer-ring + for (int i = 0; i < cycle.size(); i++) + { + int prev = i == 0 ? cycle[cycle.size() - 1] : cycle[i - 1]; + int now = cycle[i]; + int next = i + 1 == cycle.size() ? cycle[0] : cycle[i + 1]; + answer = min(answer, solve1(now, prev, next)); + } + + // case 2: both edges from cycle + ll partA = dp[cycle[0]]; + ll partB = totalCost - dp[cycle[0]]; + int cycleSize = cycle.size(); + for (int i = 0; i < cycleSize; i++) + { + cycle.push_back(cycle[i]); + } + + for (int i = 0, j = 1; i < cycleSize;) + { + if (ASSERT) + { + assert(i < j && "Invalid iterators (a1)"); + assert(j - i < cycleSize && "Invalid iterators (a2)"); + assert(partA + partB == totalCost && "Invalid parts (a3)"); + } + + check(partA, partB, answer); + + while (j - i < cycleSize - 1 && partA < partB) + { + partA += dp[cycle[j]]; + partB -= dp[cycle[j]]; + j++; + + check(partA, partB, answer); + } + + if (ASSERT) + { + assert(i < j && "Invalid iterators (b1)"); + assert(j - i < cycleSize && "Invalid iterators (b2)"); + assert(partA + partB == totalCost && "Invalid parts (b3)"); + } + + partA -= dp[cycle[i]]; + partB += dp[cycle[i]]; + i++; + + if (i == j) + { + partA += dp[cycle[j]]; + partB -= dp[cycle[j]]; + j++; + } + } + + if (ASSERT) + { + assert(answer != 1e18 && "Invalid answer"); + } + + cout << answer << '\n'; + + return 0; +} \ No newline at end of file diff --git a/2023/rcpc/d1/editorial/C. Almost Tree Cut - gheal.cpp b/2023/rcpc/d1/editorial/C. Almost Tree Cut - gheal.cpp new file mode 100644 index 0000000..66eab9a --- /dev/null +++ b/2023/rcpc/d1/editorial/C. Almost Tree Cut - gheal.cpp @@ -0,0 +1,87 @@ +/// Gheorghies Alexandru +#include + +using namespace std; +typedef long long ll; +typedef long double ld; +typedef pair pll; +typedef pair pld; + + +const ll LGMAX=20,NMAX=5e5+5; +ll dp[NMAX],deg[NMAX]; +vector edg[NMAX]; +void tc(){ + ll n,s=0,ans=LLONG_MAX; + cin>>n; + for(ll i=1;i<=n;i++) cin>>dp[i],s+=dp[i]; + for(ll i=0;i>u>>v; + edg[u].push_back(v); + edg[v].push_back(u); + deg[u]++,deg[v]++; + } + queue q; + for(ll i=1;i<=n;i++) + if(deg[i]==1) + q.push(i); + while(!q.empty()){ + deg[q.front()]=0; + ans=min(ans,abs(2*dp[q.front()]-s)); + for(auto it : edg[q.front()]){ + if(deg[it]>0){ + dp[it]+=dp[q.front()]; + deg[it]--; + if(deg[it]==1) + q.push(it); + } + } + q.pop(); + } + vector cycle; + for(ll i=1;i<=n;i++){ + if(deg[i]>0){ + cycle={i}; + deg[i]=0; + break; + } + } + while(1){ + bool ok=0; + for(auto it : edg[cycle.back()]){ + if(deg[it]){ + cycle.push_back(it); + deg[it]=0; + ok=1; + break; + } + } + if(!ok) break; + } + n=cycle.size(); + ll l=0,r=n-1,curr=0; + for(ll l=0;l>t; while(t--) + tc(); + return 0; +} diff --git a/2023/rcpc/d1/editorial/D. Doping 2.cpp b/2023/rcpc/d1/editorial/D. Doping 2.cpp new file mode 100644 index 0000000..f526a7a --- /dev/null +++ b/2023/rcpc/d1/editorial/D. Doping 2.cpp @@ -0,0 +1,143 @@ +/// Cozma Tiberiu - Stefan +#include +using namespace std; +int mod; +const int nmax = 100; +struct Mint +{ + int val; + Mint(int _val = 0) + { + val = _val % mod; + } + Mint(long long _val) + { + val = _val % mod; + } + Mint operator+(Mint oth) + { + return val + oth.val; + } + Mint operator*(Mint oth) + { + return 1LL * val * oth.val; + } + Mint operator-(Mint oth) + { + return val - oth.val + mod; + } +}; +Mint dp[nmax+1][nmax+1][nmax+1]; +Mint sum[nmax+1][nmax+1][nmax+1]; +Mint dp2[nmax+1][nmax+1]; +int main() +{ + cin.tie(nullptr)->sync_with_stdio(false); + int n; + cin >> n >> mod; + vector a(n + 1); + for (int i = 1; i <= n; ++i) + { + cin >> a[i]; + } + dp[1][1][0] = 1; + sum[1][1][0] = 1; + for (int i = 2; i <= n; ++i) + { + for (int j = 1; j <= i; ++j) + { + for (int k = 0; k < i; ++k) + { + dp[i][j][k] = sum[i - 1][i - 1][k] - sum[i - 1][j - 1][k]; + if (k) + { + dp[i][j][k] = dp[i][j][k] + sum[i - 1][j - 1][k - 1]; + } + sum[i][j][k] = sum[i][j - 1][k] + dp[i][j][k]; + } + } + } + vector> pas(n + 1, vector(n + 1)); + pas[0][0] = 1; + for (int i = 1; i <= n; ++i) + { + for (int j = 0; j <= i; ++j) + { + if (j == 0 || j == i) + { + pas[i][j] = 1; + continue; + } + pas[i][j] = pas[i - 1][j] + pas[i - 1][j - 1]; + } + } + set vals; + for (int i = 1; i <= n; ++i) + { + vals.insert(i); + } + int cnt = 0; + vector ans(n + 1); + for (int i = 1; i <= n; ++i) + { + for (int j = 1; j < a[i]; ++j) + { + if (vals.find(j) != vals.end()) + { + vals.erase(j); + cnt += vals.find(j + 1) != vals.end(); + vector left(1); + for (auto k : vals) + { + left.push_back(k); + } + int sz = 1; + vector lg(1); + for (int i = 2; i < (int)left.size(); ++i) + { + if (left[i] == left[i - 1] + 1) + { + sz++; + } + else + { + lg.push_back(sz); + sz = 1; + } + } + lg.push_back(sz); + int m = (int)lg.size() - 1; + dp2[0][0] = 1; + int s = 0; + for (int x = 1; x <= m; ++x) + { + s += lg[x]; + for (int y = 0; y < n; ++y) + { + dp2[x][y].val = 0; + for (int z = 0; z <= min(y, lg[x]); ++z) + { + dp2[x][y] = dp2[x][y] + dp2[x - 1][y - z] * pas[s][lg[x]] * sum[lg[x]][lg[x]][z]; + } + } + } + for (int k = 0; k < n; ++k) + { + int need = k - cnt; + if (need >= 0) + { + ans[k] = ans[k] + dp2[m][need]; + } + } + vals.insert(j); + cnt -= vals.find(j + 1) != vals.end(); + } + } + vals.erase(a[i]); + cnt += vals.find(a[i] + 1) != vals.end(); + } + for (int i = 0; i < n; ++i) + { + cout << ans[i].val << ' '; + } +} \ No newline at end of file diff --git a/2023/rcpc/d1/editorial/E. Anton Would Approve This Problem - dp.cpp b/2023/rcpc/d1/editorial/E. Anton Would Approve This Problem - dp.cpp new file mode 100644 index 0000000..eeb2b97 --- /dev/null +++ b/2023/rcpc/d1/editorial/E. Anton Would Approve This Problem - dp.cpp @@ -0,0 +1,46 @@ +/// Banu Denis - dp +#include + +using namespace std; +#define ll long long +#define ld long double +#define ull unsigned long long +#define pii pair +#define MOD 1000000007 +#define zeros(x) x&(x-1)^x +#define fi first +#define se second +#define NMAX 500005 +const long double PI = acos(-1); + +int n,t, dp[2][4]; +string s; + +int main(){ + ios::sync_with_stdio(false); + cin >> t; + while (t--) { + cin >> n; + cin >> s; + memset(dp,0,sizeof(dp)); + int crt = 1; + for (int i=0;i + +using namespace std; +typedef long long ll; +typedef long double ld; +typedef pair pll; +typedef pair pld; + +const ll LGMAX=20,NMAX=3e5+5; + + +void tc(){ + ll n,ans=0,len=0; + string s; + cin>>n>>s; + for(ll i=0;i>t; while(t--) + tc(); + return 0; +} + diff --git a/2023/rcpc/d1/editorial/F. Difference In Skill - difference arrays.cpp b/2023/rcpc/d1/editorial/F. Difference In Skill - difference arrays.cpp new file mode 100644 index 0000000..58769d8 --- /dev/null +++ b/2023/rcpc/d1/editorial/F. Difference In Skill - difference arrays.cpp @@ -0,0 +1,49 @@ +/// Gheorghies Alexandru - difference arrays solution +#include + +using namespace std; +typedef long long ll; +typedef long double ld; +typedef pair pll; +typedef pair pld; + +const ll LGMAX=20,NMAX=2e5+5; +vector smen[NMAX]; /// smen (smenul lui mars) is the romanian term for difference arrays +ll ans[NMAX]; +pll v[NMAX]; +void tc(){ + ll n,k; + cin>>n>>k; + for(ll i=0;i>v[i].first; + v[i].second=i; + } + sort(v,v+n); + ll r=0; + for(ll l=0;l cnd; + for(ll i=0;i0) cnd.insert(it); + else cnd.erase(cnd.lower_bound(-it)); + } + ans[v[i].second]=*cnd.rbegin(); + } + for(ll i=0;i>t; while(t--) + tc(); + return 0; +} diff --git a/2023/rcpc/d1/editorial/F. Difference In Skill - monotone stack.cpp b/2023/rcpc/d1/editorial/F. Difference In Skill - monotone stack.cpp new file mode 100644 index 0000000..280de47 --- /dev/null +++ b/2023/rcpc/d1/editorial/F. Difference In Skill - monotone stack.cpp @@ -0,0 +1,45 @@ +/// Banu Denis - monotone stack solution +#include + +using namespace std; + +#define ll long long +#define ld long double +#define ull unsigned long long +#define pii pair +#define MOD 1000000007 +#define zeros(x) x&(x-1)^x +#define fi first +#define se second +#define NMAX 200005 +const long double PI = acos(-1); + +int n,k,ans[NMAX]; +deque bst; +vector > v; + +int main(){ + ios::sync_with_stdio(false); + cin >> n >> k; + for (int i=1;i<=n;i++) { + int x; + cin >> x; + v.push_back({x, i}); + } + sort(v.begin(), v.end()); + v.push_back({int(2e9) + 3, 0}); + + int st = 0, dr = -1; + while (st < n) { + while (v[st].first + k >= v[dr+1].first) dr++; + while (!bst.empty() && bst.back().first <= dr-st+1) bst.pop_back(); + bst.push_back({dr-st+1, dr}); + while (!bst.empty() && bst.front().second < st) bst.pop_front(); + ans[v[st].second] = bst.front().first; + st++; + } + + for (int i=1;i<=n;i++) cout << ans[i] << ' '; + cout << '\n'; + return 0; +} \ No newline at end of file diff --git a/2023/rcpc/d1/editorial/G. Sign Flipping.cpp b/2023/rcpc/d1/editorial/G. Sign Flipping.cpp new file mode 100644 index 0000000..ac3fb89 --- /dev/null +++ b/2023/rcpc/d1/editorial/G. Sign Flipping.cpp @@ -0,0 +1,32 @@ +/// Gheorghies Alexandru +#include + +using namespace std; +typedef long long ll; +typedef pair pll; +const ll NMAX=3e5+5,LGMAX=17; +ll v[NMAX]; +map fr,prv; +int main() +{ + #ifndef ONLINE_JUDGE + freopen("in.txt","r",stdin); + freopen("out.txt","w",stdout); + #endif + ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); + ll n,ans=0; + cin>>n; + for(ll i=1;i<=n;i++){ + cin>>v[i]; + v[i]=abs(v[i]); + ++fr[v[i]]; + if(fr[v[i]]%2) v[i]=-v[i]; + } + for(ll i=1;i<=n;i++){ + ans+=(i-prv[v[i]])*(n-i+1); + prv[v[i]]=i; + } + cout< + +using namespace std; +typedef long long ll; +void tc(){ + ll n,m; + cin>>n>>m; + cout<<(n*m*2+2)/3<<'\n'; +} +int main() +{ + ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); + ll t; cin>>t; while(t--) + tc(); + return 0; +} diff --git a/2023/rcpc/d1/editorial/I. Weird Divisibility.cpp b/2023/rcpc/d1/editorial/I. Weird Divisibility.cpp new file mode 100644 index 0000000..44a7b62 --- /dev/null +++ b/2023/rcpc/d1/editorial/I. Weird Divisibility.cpp @@ -0,0 +1,58 @@ +/// Gheorghies Alexandru +#include + +using namespace std; +typedef long long ll; +typedef pair pll; +const ll NMAX=1e5+5; +ll primes[NMAX],divisors[NMAX],cntp=0,cntdiv=0; +bool sieve[NMAX]; +void AddDivisors(ll base, ll exponent){ + ll n=cntdiv,curr=1; + for(ll j=1;j<=exponent;j++){ + curr*=base; + for(ll i=0;i cache; +void tc(){ + ll n,cpy; + cin>>n; + if(cache.count(n)){ + cout<cpy){ + ans=min(ans,divisors[i]); + } + } + cache[cpy]=ans-cpy; + cout<>t; while(t--) + tc(); + return 0; +} diff --git a/2023/rcpc/d1/editorial/J. Triple Reverse Sort.cpp b/2023/rcpc/d1/editorial/J. Triple Reverse Sort.cpp new file mode 100644 index 0000000..0f30396 --- /dev/null +++ b/2023/rcpc/d1/editorial/J. Triple Reverse Sort.cpp @@ -0,0 +1,26 @@ +/// Gheorghies Alexandru +#include + +using namespace std; +typedef long long ll; +typedef pair pll; +const ll NMAX=1e5+5; + +void tc(){ + ll n; + bool good=1; + cin>>n; + for(ll i=1;i<=n;i++){ + ll x; cin>>x; + if(x%2!=i%2) good=0; + } + cout<<(good?"YES":"NO")<<'\n'; +} +int main() +{ + + ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); + ll t; cin>>t; while(t--) + tc(); + return 0; +} diff --git a/2023/rcpc/d1/editorial/K. Distinctness Queries.cpp b/2023/rcpc/d1/editorial/K. Distinctness Queries.cpp new file mode 100644 index 0000000..851c7db --- /dev/null +++ b/2023/rcpc/d1/editorial/K. Distinctness Queries.cpp @@ -0,0 +1,100 @@ +/// Gheorghies Alexandru +/// this problem is really painful to implement +#include + +using namespace std; +typedef long long ll; +typedef pair pll; +const ll NMAX=1e5+5,NSQRMAX=1.6e7+5,MOD=1e9+7; +ll b[NMAX],actualnxt[NMAX],actualprv[NMAX],n,m; +ll ans[NSQRMAX],tmpans[NMAX]; +ll prv[NMAX],nxt[NMAX],last[NMAX]; +ll f(ll i1, ll i2, ll j){ + return m*((n*(n+1)-(n-i1)*(n-i1+1))/2+i2-i1)+j; +} +void Push_back(ll p){ + if(last[b[p]]==-1) + prv[p]=-1,nxt[p]=-1; + else + nxt[last[b[p]]]=p,prv[p]=last[b[p]],nxt[p]=-1; + last[b[p]]=p; +} +void Erase(ll p){ + if(nxt[p]==-1 && prv[p]==-1){ + last[b[p]]=-1; + return; + } + if(prv[p]!=-1) nxt[prv[p]]=nxt[p]; + if(nxt[p]!=-1) prv[nxt[p]]=prv[p]; + nxt[p]=prv[p]=-1; +} +int main() +{ + #ifndef ONLINE_JUDGE + freopen("in.txt","r",stdin); + freopen("out.txt","w",stdout); + #endif + ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); + for(ll i=0;i>n>>m; + if(n<=m){ + for(ll i=0;i>b[i*m+j]; + } + else{ + for(ll i=0;i>b[j*n+i]; + swap(n,m); + flipped=1; + } + for(ll i1=0;i1=i1;i2--){ + for(ll j=0;j=0;j--){ + ll p=i2*m+j; + if(actualprv[p]>=0) + tmpans[actualprv[p]]=min(tmpans[actualprv[p]],j); + if(actualnxt[p]=0;j--){ + tmpans[j]=min(tmpans[j],tmpans[j+1]); + ans[f(i1,i2,j)]=tmpans[j]-1; + } + } + } + cin>>q; + while(q--){ + ll a,b,c,d; + cin>>a>>b>>c>>d; + + if(flipped) swap(a,b),swap(c,d); + a--,b--,c--,d--; + + if(ans[f(a,c,b)]>=d) + cout<<"YES\n"; + else + cout<<"NO\n"; + } + return 0; +} diff --git a/2023/rcpc/d1/editorial/L. Best or Worst - gheal.cpp b/2023/rcpc/d1/editorial/L. Best or Worst - gheal.cpp new file mode 100644 index 0000000..e69de29 diff --git a/2023/rcpc/d1/editorial/L. Best or Worst - juve45.cpp b/2023/rcpc/d1/editorial/L. Best or Worst - juve45.cpp new file mode 100644 index 0000000..7601c9e --- /dev/null +++ b/2023/rcpc/d1/editorial/L. Best or Worst - juve45.cpp @@ -0,0 +1,168 @@ +/// Ionita Alexandru +#include +#define st first +#define nd second + +using namespace std; + +const long long N = 500100; +long long n, aib[N], a[N], prev, f[N]; +string s; + +const long long MOD = 1e9 + 7; + +long long powMod(long long a, long long exp) { + long long b = a, res = 1; + while(exp) { + if(exp % 2) res *= b; + b = 1LL * b * b % MOD; + res %= MOD; + exp /= 2; + } + return res; +} + +long long invMod(long long x) { + return powMod(x, MOD - 2); +} + +long long comb(long long n, long long k) { + if(n < k) return 0; + if(n == k) return 1; + if(k == 0) return 1; + return f[n] * invMod(1LL * f[k] * f[n - k] % MOD) % MOD; +} + +long long lsb(long long x) { + return x & (-x); +} + +void upd(long long pos, long long val) { + for(; pos < N; pos += lsb(pos)) { + aib[pos] += val; + } +} + +long long que(long long pos) { + long long ret = 0; + for(; pos; pos -= lsb(pos)) { + ret += aib[pos]; + } + return ret; +} + +long long que(long long l, long long r) { + if(l == r && r == 0) return 0; + if(l == 1) return que(r); + return que(r) - que(l - 1); +} + + +long long compute(long long pos, long long mn, long long mx) { + + long long prev = pos; + long long ans = 1; + + for(long long i = pos + 1; i <= n; i++) { + if(a[i] == 0) continue; + if(a[prev] > a[i]) { + // minim + long long k = mn - a[i] - 1; + long long lg = i - prev - 1; + ans = ans * comb(lg, k) % MOD; + mn = a[i]; + mx += lg - k; + if(mx > n) return 0; // todo testcase + upd(a[i], -1); + } else { + long long k = a[i] - mx - 1; + long long lg = i - prev - 1; + ans = ans * comb(lg, k) % MOD; + mx = a[i]; + mn -= lg - k; + if(mn < 1) return 0; + upd(a[i], -1); + } + long long banned = que(mn, mx); + if(banned != 1) + return 0; + prev = i; + } + return ans; + +} + + +void solve() { + long long mn, mx, ans1 = 0, ans2 = 0, banned; + + cin >> n; + + f[0] = 1; + for(long long i = 1; i <= n + 1; i++) + if(que(i, i) == 1) + upd(i, -1); + + for(long long i = 1; i <= n; i++) { + f[i] = f[i - 1] * i % MOD; + cin >> a[i]; + if(a[i]) + upd(a[i], 1); + } + + long long prev = 0; + + n++; + a[n] = n; + f[n] = f[n - 1] * n % MOD; + upd(a[n], 1); + + for(long long i = 1; i <= n; i++) { + if(a[i]) { + + mn = a[i]; + mx = a[i] + i - 1; + if(mx <= n) { + banned = que(mn, mx); + if(banned == 1) { + ans1 = powMod(2, max(i - 2, 0LL)); + ans1 = ans1 * compute(i, mn, mx) % MOD; + } + } + + if(i == 1) break; + + // memset(aib, 0, sizeof aib); + + for(long long j = 1; j <= n; j++) + if(a[j] && que(a[j], a[j]) == 0) + upd(a[j], 1); + + mx = a[i]; + mn = a[i] - i + 1; + if(mn > 0) { + banned = que(mn, mx); + if(banned == 1) { + ans2 = powMod(2, max(i - 2, 0LL)); + ans2 = ans2 * compute(i, mn, mx) % MOD; + } + } + break; + } + } + cout << (ans1 + ans2) % MOD << '\n'; +} + + +int main() { + int t; + ios_base::sync_with_stdio(false); + + cin >> t; + + for(int i = 1; i <= t; i++) { + solve(); + } + + +} \ No newline at end of file diff --git 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z1Nr-I3o(AT%tWqkWbg3q3OPIAoeIs#3*_QtX9fbenArdvtNkZ z{L=Xkr5q&#dn*TW0fB$;)|O6I)(+(F^_A?6AZCV+?+^7I!XqR^&Z6-T5u2R-{dnhK ze=~D`Zy-B4i?kTIwt%6bF*lbnCnqltkOK(hG6WkLgALihMuzNQBM5{IEF{3r3*>}= z-_i11><}Q(2*}FKZt(u@fE*AoFApa>mk{W`Br+L-p`d9c2Hx}tlL-h29sHB~p(#KnW=|$w)vVw@&jep<@g;wT7L#EXo>FUq qQc6M=9;!ne9q`|~8~Ojc4cWobz~0gIy|*F1_ex|M8gWGl +#include +#include +#include + +#warning That's the baby, that's not my baby + +typedef long long ll; + +void solve() { + int n; + std::cin >> n; + + int a[n]; + for (int i = 0; i < n; i++) { + std::cin >> a[i]; + } + int b[n]; + for (int i = 0; i < n; i++) { + std::cin >> b[i]; + } + + /// e clar ca cel putin una dintre subsecvente se termina pe pozitia n (proof by the proof is left as an excersise for the reader) + + int answer = 0; + + // 1. prima subsecventa se termina pe pozitia n + + for (int r2 = n - 1; r2 >= 0; r2--) { + int cur = 0; + for (int l2 = r2; l2 >= 0; l2--) { + if (a[n - (r2 - l2 + 1)] != b[l2]) { + cur++; + } + answer = std::max(answer, cur); + } + } + + // 2. a doua subsecventa se termina pe pozitia n + + for (int r1 = n - 1; r1 >= 0; r1--) { + int cur = 0; + for (int l1 = r1; l1 >= 0; l1--) { + if (a[l1] != b[n - (r1 - l1 + 1)]) { + cur++; + } + answer = std::max(answer, cur); + } + } + + std::cout << answer; +} + +int main() { + std::ios_base::sync_with_stdio(false); + std::cin.tie(0); + + int t; + std::cin >> t; + while (t--) { + solve(); + std::cout << '\n'; + } + + return 0; +} diff --git a/2023/rcpc/d2/editorial/a-maximum-distance-585.cpp b/2023/rcpc/d2/editorial/a-maximum-distance-585.cpp new file mode 100644 index 0000000..53e6685 --- /dev/null +++ b/2023/rcpc/d2/editorial/a-maximum-distance-585.cpp @@ -0,0 +1,45 @@ +#include + +using namespace std; + +int n,a[10005],b[10005]; + +void testcase() +{ + cin >> n; + for (int i = 1; i <= n; i++) + cin >> a[i]; + for (int i = 1; i <= n; i++) + cin >> b[i]; + int ans = 0; + for (int i = n; i >= 1; i--) + { + int cur = 0; + for (int j = i; j >= 1; j--) + { + if (b[j] != a[n - (i - j)]) + cur++; + } + ans = max(ans,cur); + } + for (int i = n; i >= 1; i--) + { + int cur = 0; + for (int j = i; j >= 1; j--) + { + if (a[j] != b[n - (i - j)]) + cur++; + } + ans = max(ans,cur); + } + cout << ans << '\n'; +} + +int main() +{ + int tc; + cin >> tc; + while (tc--) + testcase(); + return 0; +} diff --git a/2023/rcpc/d2/editorial/b-the-floor-is-lava-46.cpp b/2023/rcpc/d2/editorial/b-the-floor-is-lava-46.cpp new file mode 100644 index 0000000..4b85640 --- /dev/null +++ b/2023/rcpc/d2/editorial/b-the-floor-is-lava-46.cpp @@ -0,0 +1,161 @@ +#include +#warning That's the baby, that's not my baby + +typedef long long ll; + +using namespace std; + +/** + +Solutie: + +Rotim la 45, acum ne fixam unul dintre cele K puncte. +Observam ca va face cel mult n + m - 1 (< 2 * max(n, m)) pasi => +ne vom uita pentru r pasi, care este intaltimea maxima la care putem ajunge. +Practic avem un query de maxim pe un patrat din matrice => putem face rmq + +Complexitate temporala: O(N^2 * logN + K * N) + +**/ + +const int NMAX = 750; +int a[NMAX + 1][NMAX + 1]; +int b[2 * NMAX + 2][2 * NMAX + 2]; +int rmqLine[12][2 * NMAX + 1][2 * NMAX + 1]; +int rmqCol[12][2 * NMAX + 1][2 * NMAX + 1]; +int lg2[2 * NMAX + 1]; + +int N; +const int p2[14] = {1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192}; + +int queryLine (int x, int l, int r) { + l = max(l, 1); + r = min(r, N); + int k = lg2[r - l + 1]; + return max(rmqLine[k][x][l], rmqLine[k][x][r - p2[k] + 1]); +} + +int queryCol (int x, int l, int r) { + l = max(l, 1); + r = min(r, N); + int k = lg2[r - l + 1]; + return max(rmqCol[k][x][l], rmqCol[k][x][r - p2[k] + 1]); + +} + +int answer[NMAX * NMAX + 1]; +int mini[2 * NMAX + 1]; + +int main() { + ios_base::sync_with_stdio(false); + cin.tie(0); + + int n, m, k; + cin >> n >> m >> k; + + N = max(n, m); + int maxel = 0; + + for (int i = 1; i <= n; i++) { + for (int j = 1; j <= m; j++) { + cin >> a[i][j]; + b[i + j - 1][i - j + N] = a[i][j]; + maxel = std::max(maxel, a[i][j]); + } + } + + N <<= 1; + for (int i = 2; i <= N; i++) { + lg2[i] = lg2[i >> 1] + 1; + } + + + for (int i = 1; i <= N; i++) { + for (int j = 1; j <= N; j++) { + if (!b[i][j]) { + rmqLine[0][i][j] = rmqCol[0][j][i] = 1e9; + } + rmqLine[0][i][j] = rmqCol[0][j][i] = b[i][j]; +// cout << setw(3) << b[i][j]; + } +// cout << '\n'; + } + + for (int k = 1; p2[k] <= N; k++) { + for (int i = 1; i <= N; i++) { + for (int j = 1; j + p2[k] - 1 <= N; j++) { + rmqLine[k][i][j] = max(rmqLine[k - 1][i][j], rmqLine[k - 1][i][j + p2[k - 1]]); + } + } + for (int j = 1; j <= N; j++) { + for (int i = 1; i + p2[k] - 1 <= N; i++) { + rmqCol[k][j][i] = max(rmqCol[k - 1][j][i], rmqCol[k - 1][j][i + p2[k - 1]]); + } + } + } + + for (int r = 1; r <= N; r++) { + mini[r] = 1e9; + } + + while (k--) { + int x, y; + cin >> x >> y; + int i = x + y - 1; + int j = x - y + N / 2; +// cout << " ? " << b[i][j] << " - " << a[x][y] << '\n'; + int cur = 0; + for (int r = 1; r <= N; r++) { + int x1 = i - r + 1, y1 = j - r + 1, x2 = i + r - 1, y2 = j + r - 1; + if (x1 > 0) { + cur = max(cur, queryLine(x1, y1, y2)); + } + if (x2 <= N) { + cur = max(cur, queryLine(x2, y1, y2)); + } + if (y1 > 0) { + cur = max(cur, queryCol(y1, x1, x2)); + } + if (y2 <= N) { + cur = max(cur, queryCol(y2, x1, x2)); + } + mini[r] = min(mini[r], cur); + } + } + + for (int r = 1; r <= N; r++) { +// cout << " > " << mini[r] << '\n'; + if (mini[r] <= n * m) { + answer[mini[r] + 1] = max(answer[mini[r] + 1], r); + } + } + for (int i = 1; i <= n * m; i++) { + answer[i] = max(answer[i], answer[i - 1]); + if (i > maxel) { + std::cout << "-1 "; + } else { + cout << answer[i] << ' '; + } + } + + return 0; +} + + +/** + +6 5 6 +30 14 11 22 16 +7 5 6 3 23 +20 1 5 2 17 +21 1 4 2 6 +17 7 3 24 3 +26 25 13 14 10 +2 2 +3 2 +4 4 +5 5 +2 4 +4 3 + +**/ diff --git a/2023/rcpc/d2/editorial/b-the-floor-is-lava-583.cpp b/2023/rcpc/d2/editorial/b-the-floor-is-lava-583.cpp new file mode 100644 index 0000000..2131a52 --- /dev/null +++ b/2023/rcpc/d2/editorial/b-the-floor-is-lava-583.cpp @@ -0,0 +1,123 @@ +#include +#pragma GCC optimize("O3") + +using namespace std; + +int aint[2][1402][5602]; +int rmq[2][1402][14][1402]; +int logs[1402]; + +vector > rot(2000, vector (2000)); + +void build(int LC, int poz, int nod, int L, int R) +{ + for(int i = 1; i <= 1400; i++) + { + if(LC == 0) + rmq[LC][poz][0][i] = rot[poz][i]; + else + rmq[LC][poz][0][i] = rot[i][poz]; + //if(LC == 1 && poz == 703 && i >= 0 && i <= 15) + //cout << rot[i][poz] << " "; + } + //if(LC == 1 && poz == 703) + // cout << '\n'; + for(int i = 1; i <= logs[1400]; i++) + { + for(int j = 1; j + (1<> n >> m >> k; + + vector > v(n+1, vector (m+1)); + for(int i = 1; i <= n; i++) + for(int j = 1; j <= m; j++) + cin >> v[i][j]; + + for(int i = 1; i <= n*m; i++) + ans[i] = -1; + + for(int i = 2; i <= 1400; i++) + logs[i] = logs[i/2] + 1; + + for(int i = 1; i <= n; i++) + for(int j = 1; j <= m; j++) + rot[i+j][i-j+700] = v[i][j]; + + for(int i = 1; i <= n+m; i++) + build(0, i, 1, 1, 1400); + for(int i = 1; i < 1400; i++) + build(1, i, 1, 1, 1400); + + for(int i = 0; i <= 1400; i++) + minimaxi[i] = 1000000; + + for(int i = 1; i <= k; i++) + { + int L, C; + cin >> L >> C; + int line = L+C; + int column = L-C+700; + int mxx = 0; + for(int dist = 0; dist <= n+m; dist++) + { + bool ok = 0; + // going up + int first_line = max(1, line-dist); + int last_line = min(1400, line+dist); + int first_column = max(1, column-dist); + int last_column = min(1400, column+dist); + + //if(i == 3) + // cout << i << " " << line << " " << column << " " << first_line << " " << last_line << " " << first_column << " " << last_column << '\n'; + if(first_line) + ok = 1, mxx = max(mxx, query(0, first_line, 1, 1, 1400, first_column, last_column)); + if(last_line <= 1400) + ok = 1, mxx = max(mxx, query(0, last_line, 1, 1, 1400, first_column, last_column)); + if(first_column) + ok = 1, mxx = max(mxx, query(1, first_column, 1, 1, 1400, first_line, last_line)); + //if(i == 3) + // cout << query(1, last_column, 1, 1, 1400, first_line, last_line) << '\n'; + if(last_column < 1400) + ok = 1, mxx = max(mxx, query(1, last_column, 1, 1, 1400, first_line, last_line)); + minimaxi[dist] = min(minimaxi[dist], mxx); + //if(i == 3 && mxx == 48) + // cout << "CN " << line << " " << column << " " << dist << '\n'; + if(ok == 0) + break; + } + } + int lst = 0; + for(int i = 0; i <= 1400; i++) + { + if(minimaxi[i] <= n*m) + for(int j = lst+1; j <= min(n*m, minimaxi[i]); j++) + ans[j] = i; + lst = minimaxi[i]; + } + + for(int i = 1; i <= n*m; i++) + cout << ans[i] << " "; + return 0; +} diff --git a/2023/rcpc/d2/editorial/b-the-floor-is-lava-651.cpp b/2023/rcpc/d2/editorial/b-the-floor-is-lava-651.cpp new file mode 100644 index 0000000..24bdb92 --- /dev/null +++ b/2023/rcpc/d2/editorial/b-the-floor-is-lava-651.cpp @@ -0,0 +1,311 @@ +#include +#include // Common file +#include // Including tree_order_statistics_node_update +#define MIN(a, b) (((a) < (b)) ? (a) : (b)) +#define MAX(a, b) (((a) < (b)) ? (b) : (a)) +#pragma GCC optimize("Ofast") +#pragma GCC optimize("fast-math") +#pragma GCC optimize("unroll-loops") +#pragma GCC target("avx2") +using namespace std; +using namespace __gnu_pbds; +mt19937_64 rng(chrono::steady_clock().now().time_since_epoch().count()); +typedef tree< +int, +null_type, +less, +rb_tree_tag, +tree_order_statistics_node_update> +ordered_set; +struct custom_hash { + static uint64_t splitmix64(uint64_t x) { + // http://xorshift.di.unimi.it/splitmix64.c + x += 0x9e3779b97f4a7c15; + x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9; + x = (x ^ (x >> 27)) * 0x94d049bb133111eb; + return x ^ (x >> 31); + } + + size_t operator()(uint64_t x) const { + static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count(); + return splitmix64(x + FIXED_RANDOM); + } +}; +typedef long long ll; +typedef unsigned long long ull; +typedef long double ld; +typedef pair pll; +typedef pair pii; +int n,m,k,a[755][755]; +int rmq_st[14][2*755][2*755],rmq_dr[14][2*755][2*755],nmat[2*755][2*755],loga[200005]; +pair st[2*755][2*755], dr[2*755][2*755]; +int mini[200005],sol[755*755]; +bool inside(int lin, int col) +{ + return (lin>=1 && lin<=n && col>=1 && col<=m); +} + +void la_dreapta() +{ + int cnt=0, i, j, k,lin,col; + for(i=1; i<=n; i++) + { + ++cnt; nmat[cnt][0]=0; + lin=i; col=1; + while(inside(lin, col)) + { + nmat[cnt][++nmat[cnt][0]]=a[lin][col]; + dr[lin][col]={cnt, nmat[cnt][0]}; + col++; lin--; + } + } + for(i=2; i<=m; i++) + { + ++cnt; nmat[cnt][0]=0; + lin=n; col=i; + while(inside(lin, col)) + { + nmat[cnt][++nmat[cnt][0]]=a[lin][col]; + dr[lin][col]={cnt, nmat[cnt][0]}; + lin--; col++; + } + } + for(i=1; i<=cnt; i++) + { + for(j=nmat[i][0]; j>=1; j--) + { + rmq_dr[0][i][j]=nmat[i][j]; + for(k=1; k<=12; k++) + { + rmq_dr[k][i][j]=rmq_dr[k-1][i][j]; + int poz=j+(1<<(k-1)); + if(poz<=nmat[i][0]) + rmq_dr[k][i][j]=max(rmq_dr[k][i][j], rmq_dr[k-1][i][poz]); + } + + } + } +} + +void la_stanga() +{ + int cnt=0, i, j, k, lin, col; + for(i=1; i<=n; i++) + { + ++cnt; nmat[cnt][0]=0; + lin=i; col=m; + while(inside(lin, col)) + { + nmat[cnt][++nmat[cnt][0]]=a[lin][col]; + st[lin][col]={cnt, nmat[cnt][0]}; + col--; lin--; + } + } + for(i=m-1; i>=1; i--) + { + ++cnt; nmat[cnt][0]=0; + lin=n; col=i; + while(inside(lin, col)) + { + nmat[cnt][++nmat[cnt][0]]=a[lin][col]; + st[lin][col]={cnt, nmat[cnt][0]}; + lin--; col--; + } + } + for(i=1; i<=cnt; i++) + { + for(j=nmat[i][0]; j>=1; j--) + { + rmq_st[0][i][j]=nmat[i][j]; + for(k=1; k<=12; k++) + { + rmq_st[k][i][j]=rmq_st[k-1][i][j]; + int poz=j+(1<<(k-1)); + if(poz<=nmat[i][0]) + rmq_st[k][i][j]=max(rmq_st[k][i][j], rmq_st[k-1][i][poz]); + } + + } + } +} + +int rmq_query_dr(int lin, int st, int dr) +{ + ll lg=loga[dr-st+1]; + return max(rmq_dr[lg][lin][st], rmq_dr[lg][lin][dr-(1< p1=st[l1][c1], p2=st[l2][c2]; + if(p1.first!=p2.first) return -1; + return rmq_query_st(p1.first, p1.second, p2.second); +} + +int query_dr(int l1, int c1, int l2, int c2) +{ + pair p1=dr[l1][c1], p2=dr[l2][c2]; + if(p1.first!=p2.first) return -1; + return rmq_query_dr(p1.first, p1.second, p2.second); +} +int main() +{ + ios_base::sync_with_stdio(false); + cin.tie(0); + cout.tie(0); + mini[0]=1e9; + for(int i=1;i<=2e5;i++) + { + mini[i]=1e9; + for(int bit=0;bit<=20;bit++) + if((1<>n>>m>>k; + cin.get(); + for(int i=1;i<=n;i++) + { + string s; + getline(cin,s); + int nr=0; + int j=1; + for(char c:s) + { + if(isdigit(c)) + nr=nr*10+c-'0'; + else + { + a[i][j]=nr; + j++; + nr=0; + } + } + a[i][j]=nr; + } + for(int i=1;i<=n*m;i++) + sol[i]=-1; + la_dreapta(); + la_stanga(); + int ind=0; + while(k--) + { + ind++; + int x,y; + cin>>x>>y; + vector v; + int maxim=a[x][y]; + v.push_back(maxim); + for(int L=1;L<=n+m;L++) + { + int i2=x-L; + int j2=y; + int i1=x; + int j1=y-L; + if(i2<=0) + { + int add=1-i2; + add=abs(add); + i2+=add; + j2-=add; + } + if(j1<=0) + { + int add=1-j1; + add=abs(add); + j1+=add; + i1-=add; + } + + if(i1>=i2&&j1<=j2&&inside(i1,j1)&&inside(i2,j2)) + maxim=max(maxim,query_dr(i1,j1,i2,j2)); + + i1=x; + j1=y+L; + if(j1>m) + { + int add=j1-m; + add=abs(add); + j1-=add; + i1-=add; + } + i2=x-L; + j2=y; + if(i2<=0) + { + int add=1-i2; + add=abs(add); + i2+=add; + j2+=add; + } + + if(i1>=i2&&j1>=j2&&inside(i1,j1)&&inside(i2,j2)) + maxim=max(maxim,query_st(i1,j1,i2,j2)); + + + i1=x+L; + j1=y; + i2=x; + j2=y+L; + + if(i1>n) + { + int add=i1-n; + add=abs(add); + i1-=add; + j1+=add; + } + + if(j2>m) + { + int add=j2-m; + add=abs(add); + j2-=add; + i2+=add; + } + + if(i1>=i2&&j1<=j2&&inside(i1,j1)&&inside(i2,j2)) + maxim=max(maxim,query_dr(i1,j1,i2,j2)); + + i2=x; + j2=y-L; + if(j2<1) + { + int add=1-j2; + add=abs(add); + j2+=add; + i2+=add; + } + i1=x+L; + j1=y; + if(i1>n) + { + int add=i1-n; + add=abs(add); + i1-=add; + j1-=add; + } + + if(i1>=i2&&j1>=j2&&inside(i1,j1)&&inside(i2,j2)) + maxim=max(maxim,query_st(i1,j1,i2,j2)); + v.push_back(maxim); + } + for(int i=0;i + +using namespace std; + +int main() +{ + int n; + cin >> n; + if (n == 1) + { + cout << "No"; + return 0; + } + if (n % 3 == 0) + { + cout << 0 << ' ' << n / 3; + } + else if (n % 3 == 1) + { + cout << 2 << ' ' << (n - 4) / 3; + } + else + { + cout << 1 << ' ' << (n - 2) / 3; + } +} \ No newline at end of file diff --git a/2023/rcpc/d2/editorial/d-edenland-69.cpp b/2023/rcpc/d2/editorial/d-edenland-69.cpp new file mode 100644 index 0000000..46ce021 --- /dev/null +++ b/2023/rcpc/d2/editorial/d-edenland-69.cpp @@ -0,0 +1,70 @@ +#include + +using namespace std; + +#define int long long + +int n,a[200005],b[200005]; +int spa[200005],spb[200005]; +int nxt[200005]; +int rmq[200005][20]; +int lg[200005]; +int v[200005],spv[200005]; + +void calc_nxt() +{ + ///daca astept la poz i, astept la urmatoarea poz pentru care sum(a[j] de la i + 1 la p) > sum(b[j] de la i la p - 1) + ///fie v[j] = a[j] - b[j - 1] + ///de la pozitia i, astept la prima pozitie la care suma(v[j] de la i + 1 la p) > 0 + ///din sume partiale pe p, dupa pozitia i mai astept la prima pozitie cu spv[p] > spv[i] + for (int i = 1; i <= n; i++) + v[i] = a[i] - b[i - 1]; + for (int i = 1; i <= n; i++) + spv[i] = spv[i - 1] + v[i]; + spv[n + 1] = 1e18; + stacks; + s.push(n + 1); + for (int i = n; i >= 1; i--) + { + while (spv[i] >= spv[s.top()]) + s.pop(); + nxt[i] = s.top(); + s.push(i); + } +} + +signed main() +{ + ios_base::sync_with_stdio(false); + cin.tie(NULL); + cout.tie(NULL); + cin >> n; + for (int i = 1; i <= n; i++) + cin >> a[i],spa[i] = a[i] + spa[i - 1]; + for (int i = 1; i <= n; i++) + cin >> b[i],spb[i] = b[i] + spb[i - 1]; + calc_nxt(); + for (int i = 0; i <= 19; i++) + rmq[n + 1][i] = n + 1; + for (int i = 2; i <= n; i++) + lg[i] = 1 + lg[i / 2]; + for (int i = 1; i <= n; i++) + rmq[i][0] = nxt[i]; + for (int j = 1; j <= lg[n]; j++) + for (int i = 1; i <= n; i++) + rmq[i][j] = rmq[rmq[i][j - 1]][j - 1]; + int q; + cin >> q; + for (int i = 1; i <= q; i++) + { + int l,r; + cin >> l >> r; + int pos = l; + for (int j = lg[n]; j >= 0; j--) + if (rmq[pos][j] <= r) + pos = rmq[pos][j]; + int timp = (spb[r] - spb[pos - 1]) - (spa[r] - spa[pos]); + cout << timp << '\n'; + } + return 0; +} diff --git a/2023/rcpc/d2/editorial/e-fiboxor-52.cpp b/2023/rcpc/d2/editorial/e-fiboxor-52.cpp new file mode 100644 index 0000000..81c3957 --- /dev/null +++ b/2023/rcpc/d2/editorial/e-fiboxor-52.cpp @@ -0,0 +1,60 @@ +#include + +using namespace std; + +#define int long long + +int l,r,m; + +int lgpow(int x,int y) +{ + int z = 1; + while (y != 0) + { + if (y % 2 == 1) + z = z * x % m; + x = x * x % m; + y /= 2; + } + return z; +} + +int sump2(int x) +{ + return lgpow(2,x + 1) - 1; +} + +void testcase() +{ + cin >> l >> r >> m; + int ans = 0; + if (r - l + 1 <= 3) + { + for (int i = l; i <= r; i++) + ans += lgpow(2,(i - 1) / 2); + cout << ans % m << '\n'; + } + else + { + if (l % 2 == 0) + ans += lgpow(2,(l - 1) / 2),l++; + if (r % 2 == 1) + ans += lgpow(2,(r - 1) / 2),r--; + int st = (l + 1) / 2,fin = (r / 2); + ans += sump2(fin) - sump2(st - 1); + ans += m; + cout << ans % m << '\n'; + } +} + +signed main() +{ + ios_base::sync_with_stdio(false); + cin.tie(NULL); + cout.tie(NULL); + int tc; + cin >> tc; + while (tc--) + testcase(); + return 0; +} diff --git a/2023/rcpc/d2/editorial/e-fiboxor-589.cpp b/2023/rcpc/d2/editorial/e-fiboxor-589.cpp new file mode 100644 index 0000000..2a58511 --- /dev/null +++ b/2023/rcpc/d2/editorial/e-fiboxor-589.cpp @@ -0,0 +1,43 @@ +#include + +using namespace std; + +int mod; + +long long pw(long long b, int e) +{ + long long ans = 1; + while(e) + { + if(e & 1) + ans = (ans * b) % mod; + b = (b * b) % mod; + e >>= 1; + } + return ans; +} +long long solve(int x) +{ + if(x % 2 == 0) + return (2LL * (pw(2, x/2) - 1)) % mod; + else + { + return (2LL * (pw(2, x/2) - 1) % mod + pw(2, x/2)) % mod; + } +} +int main() +{ + ios_base::sync_with_stdio(false); + cin.tie(NULL); + + int t; + cin >> t; + + for(; t; t--) + { + int L, R; + cin >> L >> R >> mod; + cout << (solve(R) - solve(L-1) + mod) % mod << '\n'; + } + return 0; +} diff --git a/2023/rcpc/d2/editorial/f-suceava-537.cpp b/2023/rcpc/d2/editorial/f-suceava-537.cpp new file mode 100644 index 0000000..2627989 --- /dev/null +++ b/2023/rcpc/d2/editorial/f-suceava-537.cpp @@ -0,0 +1,383 @@ +#include + +using namespace std; + +#ifdef LOCAL +ifstream fin("suceava.in"); +ofstream fout("suceava.out"); +#else +#define fin cin +#define fout cout +#endif + +const int kN = 1e5; +const int kM = 1e5; +const int kT = 1e5; +const int kQ = 1e5; +const int kLog = 18; +const int kInf = 1e9; + +const bool ERASE = 0; +const bool INSERT = 1; + +vector adj[kN], rmq[kLog + 1]; +int tin[kN], depth[kN], lg2[kN << 1 | 1]; + +void maxSelf(int &x, int y) { + if(y > x) { + x = y; + } +} + +void dfs(int u = 0, int v = 0) { + tin[u] = rmq[0].size(); + rmq[0].emplace_back(u); + for(const auto &it: adj[u]) if(it != v) { + depth[it] = depth[u] + 1; + dfs(it, u); + rmq[0].emplace_back(u); + } +} + +int _min(int u, int v) { + if(depth[u] < depth[v]) { + return u; + } + return v; +} + +void init() { + dfs(); + lg2[1] = 0; + for(int i = 2; i <= (int) rmq[0].size(); i++) { + lg2[i] = lg2[i >> 1] + 1; + } + int n = rmq[0].size(); + for(int i = 1; (1 << i) <= n; i++) { + for(int j = 0; j + (1 << i) - 1 < n; j++) { + rmq[i].emplace_back(_min(rmq[i - 1][j], rmq[i - 1][j + (1 << (i - 1))])); + } + } +} + +int query(int l, int r) { + int lg = lg2[r - l + 1]; + return _min(rmq[lg][l], rmq[lg][r - (1 << lg) + 1]); +} + +int lca(int u, int v) { + int l = tin[u], r = tin[v]; + if(l > r) { + swap(l, r); + } + return query(l, r); +} + +int dist(int u, int v) { + return depth[u] + depth[v] - 2 * depth[lca(u, v)]; +} + +struct Edge { + int u, v; + Edge() {} + Edge(int u, int v): u(u), v(v) {} + bool operator < (const Edge &oth) const { + if(u == oth.u) { + return v < oth.v; + } + return u < oth.u; + } +}; + +map col; + +struct Event { + bool t; + int time; + Edge edge; + Event(bool t, int time, Edge edge): t(t), time(time), edge(edge) {} +}; + +vector events[kN]; +vector> res[kN]; + +struct DSU { + struct DSU_SAVE { + int u, v; + pair diameter; + DSU_SAVE() {} + DSU_SAVE(int u, int v, pair diameter): u(u), v(v), diameter(diameter) {} + }; + + int n; + vector par, sz; + vector> diameter; + stack stk; + int mx; + + DSU() {} + DSU(int n): n(n), par(n), sz(n), diameter(n) { + init(); + } + + void init() { + assert(stk.empty()); + mx = 0; + for(int i = 0; i < n; i++) { + makeSet(i); + } + } + + void makeSet(int u) { + par[u] = u; + sz[u] = 1; + diameter[u] = make_pair(u, u); + } + + int findRoot(int u) { + if(par[u] == u) { + return u; + } + return findRoot(par[u]); + } + + pair findDiameter(int u) { + return diameter[findRoot(u)]; + } + + pair join(int u, int v) { + pair t1 = findDiameter(u); + pair t2 = findDiameter(v); + + vector> candidates = { + t1, + t2, + {t1.first, t2.first}, + {t1.first, t2.second}, + {t1.second, t2.first}, + {t1.second, t2.second} + }; + + int max_dist = 0; + pair res = candidates.front(); + for(const auto &it: candidates) { + if(dist(it.first, it.second) > max_dist) { + res = it; + max_dist = dist(it.first, it.second); + } + } + + maxSelf(mx, max_dist); + + return res; + } + + bool unite(int u, int v) { + u = findRoot(u); + v = findRoot(v); + + if(u == v) { + return 0; + } + + if(sz[u] > sz[v]) { + swap(u, v); + } + + stk.emplace(u, v, diameter[v]); + diameter[v] = join(u, v); + par[u] = v; + sz[v] += sz[u]; + + return 1; + } + + void undo() { + assert(!stk.empty()); + int u = stk.top().u, v = stk.top().v; + pair old_diameter = stk.top().diameter, crt_diameter = diameter[v]; + int crt_dist = dist(crt_diameter.first, crt_diameter.second); + stk.pop(); + + par[u] = u; + sz[v] -= sz[u]; + diameter[v] = old_diameter; + } + + void undo_max(int newVal) { + mx = newVal; + } + + int query() { + return mx; + } +}; + +DSU dsu; +vector ans; + +struct AINT { + int n; + vector> tree; + + AINT() {} + AINT(int n): n(n), tree(n << 2 | 1) {} + + void update(int a, int b, const Edge &edge, int node, int l, int r) { + if(a <= l && r <= b) { + tree[node].emplace_back(edge); + } else { + int mid = (l + r) >> 1; + if(a <= mid) { + update(a, b, edge, node << 1, l, mid); + } + if(b > mid) { + update(a, b, edge, node << 1 | 1, mid + 1, r); + } + } + } + + void update(int a, int b, const Edge &edge) { + update(a, b, edge, 1, 0, n); + } + + void solve(int node, int l, int r) { + int cnt = 0, prev_max = dsu.query(); + for(const auto &it: tree[node]) { + cnt += dsu.unite(it.u, it.v); + } + + if(l == r) { + ans[l] = dsu.query(); + } else { + int mid = (l + r) >> 1; + solve(node << 1, l, mid); + solve(node << 1 | 1, mid + 1, r); + } + + while(cnt--) { + dsu.undo(); + } + dsu.undo_max(prev_max); + } + + void solve() { + ans = vector(n + 1); + solve(1, 0, n); + } +}; + +int main() { + fin.tie(nullptr)->sync_with_stdio(false); + int n, m; + assert(fin >> n >> m); + assert(2 <= n && n <= kN); + assert(2 <= m && m <= kM); + + dsu = DSU(n); + + for(int i = 1; i < n; i++) { + int u, v, c; + assert(fin >> u >> v >> c); + + assert(1 <= u && u <= n); + assert(1 <= v && v <= n); + assert(1 <= c && c <= m); + + u--; v--; c--; + + if(u > v) { + swap(u, v); + } + + col[Edge(u, v)] = c; + events[c].emplace_back(INSERT, 0, Edge(u, v)); + adj[u].emplace_back(v); + adj[v].emplace_back(u); + } + + int t; + assert(fin >> t); + assert(1 <= t && t <= kT); + + for(int i = 1; i <= t; i++) { + int u, v, c; + assert(fin >> u >> v >> c); + assert(1 <= u && u <= n); + assert(1 <= v && v <= n); + assert(1 <= c && c <= m); + u--; v--; c--; + + if(u > v) { + swap(u, v); + } + + int lst_c = col[Edge(u, v)]; + events[lst_c].emplace_back(ERASE, i, Edge(u, v)); + col[Edge(u, v)] = c; + events[c].emplace_back(INSERT, i, Edge(u, v)); + } + + init(); + + for(int c = 0; c < m; c++) if(!events[c].empty()) { + map timer; + AINT aint(events[c].size()); + + for(int i = 0; i < (int) events[c].size(); i++) { + Event ev = events[c][i]; + + if(ev.t == INSERT) { + if(timer.count(ev.edge) == 0) { + timer[ev.edge] = i; + } + } else { + aint.update(timer[ev.edge], i - 1, ev.edge); + timer.erase(ev.edge); + } + } + for(const auto &it: timer) { + aint.update(it.second, events[c].size(), it.first); + } + + // dsu.init(); + aint.solve(); + + int i = 0; + if(events[c][i].time == 0) { + while(i < (int) events[c].size() && events[c][i].time == 0) { + i++; + } + res[c].emplace_back(0, ans[i - 1]); + } else { + res[c].emplace_back(0, 0); + } + + while(i < (int) events[c].size()) { + res[c].emplace_back(events[c][i].time, ans[i]); + i++; + } + } + + int q; + assert(fin >> q); + assert(1 <= q && q <= kQ); + + for(int i = 0; i < q; i++) { + int c, d; + assert(fin >> c >> d); + assert(1 <= c && c <= m); + assert(1 <= d && d <= t); + c--; + + if(res[c].empty()) { + fout << "0\n"; + } else { + auto it = upper_bound(res[c].begin(), res[c].end(), make_pair(d, kInf)); + it = prev(it); + fout << it->second << '\n'; + } + } + + return 0; +} diff --git a/2023/rcpc/d2/editorial/f-suceava-663.cpp b/2023/rcpc/d2/editorial/f-suceava-663.cpp new file mode 100644 index 0000000..fde5a46 --- /dev/null +++ b/2023/rcpc/d2/editorial/f-suceava-663.cpp @@ -0,0 +1,308 @@ +#include + +using namespace std; + +ofstream out("f.out"); + +const int MOMMAX = 5e5; + +struct edge +{ + int ti,tf,x,y; +}; + +int n,m,t,q; +vectorg[100005]; +map,int>color; +map,int>beg; +vectorv[100005]; +vector>qs[100005];///timp,index +vector>aint[4 * MOMMAX + 5]; +vector>input_edges; +vectorinds[4 * MOMMAX + 5]; +int ans[100005]; +int diammax[4 * MOMMAX + 5]; +int tata[100005],sz[100005],diam[100005]; +pairbestdiam[100005]; + +vector rmq[19]; +int tin[100005], depth[100005]; + +void _dfs(int u = 1, int v = 0) { + tin[u] = rmq[0].size(); + rmq[0].emplace_back(u); + for(const auto &it: g[u]) if(it != v) { + depth[it] = depth[u] + 1; + _dfs(it, u); + rmq[0].emplace_back(u); + } +} + +int _min(int u, int v) { + if(depth[u] < depth[v]) { + return u; + } + return v; +} + +void init() { + _dfs(); + int n = rmq[0].size(); + for(int i = 1; (1 << i) <= n; i++) { + for(int j = 0; j + (1 << i) - 1 < n; j++) { + rmq[i].emplace_back(_min(rmq[i - 1][j], rmq[i - 1][j + (1 << (i - 1))])); + } + } +} + +int query(int l, int r) { + int lg = __lg(r - l + 1); + return _min(rmq[lg][l], rmq[lg][r - (1 << lg) + 1]); +} + +int lca(int u, int v) { + int l = tin[u], r = tin[v]; + if(l > r) { + swap(l, r); + } + return query(l, r); +} + +int dist(int u, int v) { + return depth[u] + depth[v] - 2 * depth[lca(u, v)]; +} + +void update(int nod,int l,int r,int st,int dr,pairp) +{ + if (r < st or dr < l) + return; + if (st <= l and r <= dr) + { + aint[nod].push_back(p); + return; + } + int mij = (l + r) / 2; + update(2 * nod,l,mij,st,dr,p); + update(2 * nod + 1,mij + 1,r,st,dr,p); +} + +void setquery(int nod,int l,int r,int pos,int index) +{ + if (l == r) + inds[nod].push_back(index); + else + { + int mij = (l + r) / 2; + if (pos <= mij) + setquery(2 * nod,l,mij,pos,index); + else + setquery(2 * nod + 1,mij + 1,r,pos,index); + } +} + +struct stack_upd +{ + int x,y,antx; + pairantbestx; + ///x a devenit tatal lui y + ///x avea diam antx + ///size-ul anterior al lui y o sa ramana in sz[y] + ///diametrul anterior al lui y o sa ramane in diam[y] +}; + +stackstk; + +int reprez(int x) +{ + while (x != tata[x]) + x = tata[x]; + return x; +} + +void baga(int nod,int x,int y) +{ + //cout << "super" << endl; + x = reprez(x); + y = reprez(y); + if (sz[x] < sz[y]) + swap(x,y); + stack_upd aux; + aux.x = x; + aux.y = y; + aux.antbestx = bestdiam[x]; + aux.antx = diam[x]; + stk.push(aux); + tata[aux.y] = aux.x; + int maxim = max(diam[x],diam[y]); + maxim = max(maxim,dist(bestdiam[x].first,bestdiam[y].first)); + maxim = max(maxim,dist(bestdiam[x].first,bestdiam[y].second)); + maxim = max(maxim,dist(bestdiam[x].second,bestdiam[y].first)); + maxim = max(maxim,dist(bestdiam[x].second,bestdiam[y].second)); + //cout << x << ' ' << y << ' ' << diam[x] << ' ' << diam[y] << ' ' << dist(bestdiam[x].first,bestdiam[y].first) << ' ' << dist(bestdiam[x].first,bestdiam[y].second) << ' ' << dist(bestdiam[x].second,bestdiam[y].first) << ' ' << dist(bestdiam[x].second,bestdiam[y].second) << endl; + diammax[nod] = max(diammax[nod],maxim); + if (diam[x] == maxim) + { + return; + } + if (diam[y] == maxim) + { + diam[x] = diam[y]; + bestdiam[x] = bestdiam[y]; + return; + } + if (dist(bestdiam[x].first,bestdiam[y].first) == maxim) + { + diam[x] = dist(bestdiam[x].first,bestdiam[y].first); + bestdiam[x] = {bestdiam[x].first,bestdiam[y].first}; + return; + } + if (dist(bestdiam[x].first,bestdiam[y].second) == maxim) + { + diam[x] = dist(bestdiam[x].first,bestdiam[y].second); + bestdiam[x] = {bestdiam[x].first,bestdiam[y].second}; + return; + } + if (dist(bestdiam[x].second,bestdiam[y].first) == maxim) + { + diam[x] = dist(bestdiam[x].second,bestdiam[y].first); + bestdiam[x] = {bestdiam[x].second,bestdiam[y].first}; + return; + } + if (dist(bestdiam[x].second,bestdiam[y].second) == maxim) + { + diam[x] = dist(bestdiam[x].second,bestdiam[y].second); + bestdiam[x] = {bestdiam[x].second,bestdiam[y].second}; + return; + } +} + +void rollback() +{ + stack_upd aux = stk.top(); + stk.pop(); + tata[aux.y] = aux.y; + sz[aux.x] -= sz[aux.y]; + diam[aux.x] = aux.antx; + bestdiam[aux.x] = aux.antbestx; +} + +void dfs(int nod,int l,int r) +{ + /*if (!aint[nod].empty()) + { + cout << nod << ' ' << l << ' ' << r << endl; + for (auto it : aint[nod]) + cout << it.first << ' ' << it.second << endl; + cout << endl; + }*/ + diammax[nod] = diammax[nod / 2]; + for (auto it : aint[nod]) + baga(nod,it.first,it.second); + //if (!aint[nod].empty() or !inds[nod].empty()) + // cout << nod << ' ' << l << ' ' << r << ' ' << diammax[nod] << '\n'; + if (l == r) + { + for (auto it : inds[nod]) + ans[it] = diammax[nod]; + } + else + { + int mij = (l + r) / 2; + dfs(2 * nod,l,mij); + dfs(2 * nod + 1,mij + 1,r); + } + for (int i = 0; i < aint[nod].size(); i++) + rollback(); +} + +int main() +{ + ios_base::sync_with_stdio(false); + cin.tie(NULL); + cout.tie(NULL); + cin >> n >> m; + for (int i = 1; i < n; i++) + { + int x,y,cc; + cin >> x >> y >> cc; + if (x > y) + swap(x,y); + color[{x,y}] = cc; + g[x].push_back(y); + g[y].push_back(x); + beg[{x,y}] = 1; + input_edges.push_back({x,y}); + } + for (int i = 1; i <= n; i++) + tata[i] = i,sz[i] = 1,diam[i] = 0,bestdiam[i] = {i,i}; + init(); + cin >> t; + for (int i = 1; i <= t; i++) + { + int x,y,cc; + cin >> x >> y >> cc; + if (x > y) + swap(x,y); + edge aux; + aux.x = x; + aux.y = y; + aux.ti = beg[{x,y}]; + aux.tf = i; + v[color[{x,y}]].push_back(aux); + color[{x,y}] = cc; + beg[{x,y}] = i + 1; + } + for (int i = 0; i < n - 1; i++) + { + int x = input_edges[i].first,y = input_edges[i].second; + edge aux; + aux.x = x; + aux.y = y; + aux.tf = t + 1; + aux.ti = beg[{x,y}]; + v[color[{x,y}]].push_back(aux); + } + cin >> q; + for (int i = 1; i <= q; i++) + { + int cc,tmp; + cin >> cc >> tmp; + tmp++; + qs[cc].push_back({tmp,i}); + } + int ft = 0; + for (int i = 1; i <= m; i++) + { + //cout << i << endl; + vectorvals; + for (auto it : v[i]) + vals.push_back(it.ti),vals.push_back(it.tf); + for (auto it : qs[i]) + vals.push_back(it.first); + sort(vals.begin(),vals.end()); + if (vals.size() == 0) + continue; + mapmpnorma; + int posnorma = 0; + for (auto it : vals) + if (!mpnorma[it]) + mpnorma[it] = ++posnorma; + for (int j = 0; j < v[i].size(); j++) + v[i][j].ti = mpnorma[v[i][j].ti] + ft,v[i][j].tf = mpnorma[v[i][j].tf] + ft; + for (int j = 0; j < qs[i].size(); j++) + qs[i][j].first = mpnorma[qs[i][j].first] + ft; + //for (auto it : v[i]) + // cout << it.ti << ' ' << it.tf << ' ' << it.x << ' ' << it.y << endl; + //for (auto it : qs[i]) + // cout << it.first << ' ' << it.second << endl; + for (int j = 0; j < v[i].size(); j++) + update(1,1,MOMMAX,v[i][j].ti,v[i][j].tf,{v[i][j].x,v[i][j].y}); + for (int j = 0; j < qs[i].size(); j++) + setquery(1,1,MOMMAX,qs[i][j].first,qs[i][j].second); + ft += posnorma; + } + dfs(1,1,MOMMAX); + for (int i = 1; i <= q; i++) + cout << ans[i] << '\n'; + return 0; +} diff --git a/2023/rcpc/d2/editorial/g-minimize-sum-31.cpp b/2023/rcpc/d2/editorial/g-minimize-sum-31.cpp new file mode 100644 index 0000000..b4a6c4d --- /dev/null +++ b/2023/rcpc/d2/editorial/g-minimize-sum-31.cpp @@ -0,0 +1,39 @@ +#include +#include +#include +#include +#warning That's the baby, that's not my baby + +typedef long long ll; + +void solve() { + int n; + std::cin >> n; + + ll sum = 0; + int maxi = 0; + + for (int i = 0; i < n; i++) { + int x; + std::cin >> x; + if (i != n - 1) { + sum += x; + maxi = std::max(maxi, x); + } + } + + std::cout << sum - maxi << '\n'; +} + +int main() { + std::ios_base::sync_with_stdio(false); + std::cin.tie(0); + + int t; + std::cin >> t; + while (t--) { + solve(); + } + + return 0; +} diff --git a/2023/rcpc/d2/editorial/g-minimize-sum-668.cpp b/2023/rcpc/d2/editorial/g-minimize-sum-668.cpp new file mode 100644 index 0000000..4fdf8aa --- /dev/null +++ b/2023/rcpc/d2/editorial/g-minimize-sum-668.cpp @@ -0,0 +1,73 @@ +#include +//#pragma GCC optimize ("03") +#define FastIO ios_base::sync_with_stdio(false) , cin.tie(0) , cout.tie(0) +#define FILES freopen("in" , "r" , stdin) , freopen("out" , "w" , stdout) +#define ll long long +#define ull unsigned long long +#define ld long double +#define eb emplace_back +#define pb push_back +#define qwerty1 first +#define qwerty2 second +#define qwerty3 -> first +#define qwerty4 -> second +#define umap unordered_map +#define uset unordered_set +#define pii pair < ll , ll > +#define pq priority_queue +#define dbg(x) cerr << #x << ": " << x << '\n' + +namespace FastRead +{ + char __buff[5000];ll __lg = 0 , __p = 0; + char nc() + { + if(__lg == __p){__lg = fread(__buff , 1 , 5000 , stdin);__p = 0;if(!__lg) return EOF;} + return __buff[__p++]; + } + templatevoid read(T&__x) + { + T __sgn = 1; char __c;while(!isdigit(__c = nc()))if(__c == '-')__sgn = -1; + __x = __c - '0';while(isdigit(__c = nc()))__x = __x * 10 + __c - '0';__x *= __sgn; + } +} + +using namespace FastRead; +using namespace std; + +const ll N = 2e5 + 10; +const ll M = 1e9 + 7; +const ld PI = acos(-1); +mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); + +ll n; +ll a[N]; + +void Test() +{ + ll i , sum = 0; + + cin >> n; + + for(i = 1 ; i <= n ; i++) + cin >> a[i] , sum += a[i]; + + ll mx = -1; + + for(i = 1 ; i < n ; i++) + mx = max(mx , a[i]); + + cout << sum - a[n] - mx << '\n'; +} + +signed main() +{ + #ifndef ONLINE_JUDGE + FastIO , FILES; + #endif + + ll q; cin >> q; + while(q--) Test(); + + return 0; +} diff --git a/2023/rcpc/d2/editorial/h-ai-thoughts-590.cpp b/2023/rcpc/d2/editorial/h-ai-thoughts-590.cpp new file mode 100644 index 0000000..351e0a0 --- /dev/null +++ b/2023/rcpc/d2/editorial/h-ai-thoughts-590.cpp @@ -0,0 +1,108 @@ +#include + +using namespace std; + +#define int long long + +const int inf = 1e18; + +int n; + +struct gand +{ + int x,y,val; +}; + +gand a[200005]; +int max_pxpy[200005]; +int max_pxmy[200005]; +int max_mxpy[200005]; +int max_mxmy[200005]; +int max_px[200005]; +int max_py[200005]; +int max_mx[200005]; +int max_my[200005]; + +void prec() +{ + for (int i = 1; i <= 200000; i++) + max_pxpy[i] = max_pxmy[i] = max_mxpy[i] = max_mxmy[i] = max_px[i] = max_py[i] = max_mx[i] = max_my[i] = -inf; + for (int i = 1; i <= n; i++) + { + int vl = a[i].val,x = a[i].x,y = a[i].y; + max_pxpy[vl] = max(max_pxpy[vl],x + y); + max_pxmy[vl] = max(max_pxmy[vl],x - y); + max_mxpy[vl] = max(max_mxpy[vl],-x + y); + max_mxmy[vl] = max(max_mxmy[vl],-x - y); + max_px[vl] = max(max_px[vl],x); + max_py[vl] = max(max_py[vl],y); + max_mx[vl] = max(max_mx[vl],-x); + max_my[vl] = max(max_my[vl],-y); + } +} + +signed main() +{ + ios_base::sync_with_stdio(false); + cin.tie(NULL); + cout.tie(NULL); + cin >> n; + for (int i = 1; i <= n; i++) + cin >> a[i].x >> a[i].y >> a[i].val; + prec(); + int t; + cin >> t; + while (t--) + { + int m; + cin >> m; + vectorv(m + 1); + vector>dp(m + 1); + for (int i = 1; i <= m; i++) + cin >> v[i]; + for (int i = 1; i <= m; i++) + dp[i].resize(5); + dp[1][0] = 0; + dp[1][1] = max_pxpy[v[1]]; + dp[1][2] = max_pxmy[v[1]]; + dp[1][3] = max_mxpy[v[1]]; + dp[1][4] = max_mxmy[v[1]]; + //cout << dp[1][0] << ' ' << dp[1][1] << ' ' << dp[1][2] << ' ' << dp[1][3] << ' ' << dp[1][4] << '\n'; + for (int i = 2; i <= m; i++) + { + int val0 = -inf; + val0 = max(val0,dp[i - 1][1] + max_mxmy[v[i]]); + val0 = max(val0,dp[i - 1][2] + max_mxpy[v[i]]); + val0 = max(val0,dp[i - 1][3] + max_pxmy[v[i]]); + val0 = max(val0,dp[i - 1][4] + max_pxpy[v[i]]); + dp[i][0] = val0; + int val1 = -inf; + val1 = max(val1,dp[i - 1][1]); + val1 = max(val1,dp[i - 1][2] + 2 * max_py[v[i]]); + val1 = max(val1,dp[i - 1][3] + 2 * max_px[v[i]]); + val1 = max(val1,dp[i - 1][4] + 2 * max_pxpy[v[i]]); + dp[i][1] = val1; + int val2 = -inf; + val2 = max(val2,dp[i - 1][1] + 2 * max_my[v[i]]); + val2 = max(val2,dp[i - 1][2]); + val2 = max(val2,dp[i - 1][3] + 2 * max_pxmy[v[i]]); + val2 = max(val2,dp[i - 1][4] + 2 * max_px[v[i]]); + dp[i][2] = val2; + int val3 = -inf; + val3 = max(val3,dp[i - 1][1] + 2 * max_mx[v[i]]); + val3 = max(val3,dp[i - 1][2] + 2 * max_mxpy[v[i]]); + val3 = max(val3,dp[i - 1][3]); + val3 = max(val3,dp[i - 1][4] + 2 * max_py[v[i]]); + dp[i][3] = val3; + int val4 = -inf; + val4 = max(val4,dp[i - 1][1] + 2 * max_mxmy[v[i]]); + val4 = max(val4,dp[i - 1][2] + 2 * max_mx[v[i]]); + val4 = max(val4,dp[i - 1][3] + 2 * max_my[v[i]]); + val4 = max(val4,dp[i - 1][4]); + dp[i][4] = val4; + //cout << dp[i][0] << ' ' << dp[i][1] << ' ' << dp[i][2] << ' ' << dp[i][3] << ' ' << dp[i][4] << '\n'; + } + cout << dp[m][0] << '\n'; + } + return 0; +} \ No newline at end of file diff --git a/2023/rcpc/d2/editorial/h-ai-thoughts-60.cpp b/2023/rcpc/d2/editorial/h-ai-thoughts-60.cpp new file mode 100644 index 0000000..f5742db --- /dev/null +++ b/2023/rcpc/d2/editorial/h-ai-thoughts-60.cpp @@ -0,0 +1,132 @@ +#include + +using namespace std; + +#define int long long + +const int inf = 1e18; + +int n; + +struct gand +{ + int x,y,val; +}; + +gand a[200005]; +int max_pxpy[200005]; +int max_pxmy[200005]; +int max_mxpy[200005]; +int max_mxmy[200005]; +int max_px[200005]; +int max_py[200005]; +int max_mx[200005]; +int max_my[200005]; + +void prec() +{ + for (int i = 1; i <= 200000; i++) + max_pxpy[i] = max_pxmy[i] = max_mxpy[i] = max_mxmy[i] = max_px[i] = max_py[i] = max_mx[i] = max_my[i] = -inf; + for (int i = 1; i <= n; i++) + { + int vl = a[i].val,x = a[i].x,y = a[i].y; + max_pxpy[vl] = max(max_pxpy[vl],x + y); + max_pxmy[vl] = max(max_pxmy[vl],x - y); + max_mxpy[vl] = max(max_mxpy[vl],-x + y); + max_mxmy[vl] = max(max_mxmy[vl],-x - y); + max_px[vl] = max(max_px[vl],x); + max_py[vl] = max(max_py[vl],y); + max_mx[vl] = max(max_mx[vl],-x); + max_my[vl] = max(max_my[vl],-y); + } +} + +signed main() +{ + ios_base::sync_with_stdio(false); + cin.tie(NULL); + cout.tie(NULL); + cin >> n; + for (int i = 1; i <= n; i++) + cin >> a[i].x >> a[i].y >> a[i].val; + prec(); + int t; + cin >> t; + while (t--) + { + int m; + cin >> m; + vectorv(m + 1); + vector>dp(m + 1); + for (int i = 1; i <= m; i++) + cin >> v[i]; + for (int i = 1; i <= m; i++) + dp[i].resize(5); + dp[1][0] = 0; + dp[1][1] = max_pxpy[v[1]]; + dp[1][2] = max_pxmy[v[1]]; + dp[1][3] = max_mxpy[v[1]]; + dp[1][4] = max_mxmy[v[1]]; + //cout << dp[1][0] << ' ' << dp[1][1] << ' ' << dp[1][2] << ' ' << dp[1][3] << ' ' << dp[1][4] << '\n'; + for (int i = 2; i <= m; i++) + { + int val0 = -inf; + val0 = max(val0,dp[i - 1][1] + max_mxmy[v[i]]); + val0 = max(val0,dp[i - 1][2] + max_mxpy[v[i]]); + val0 = max(val0,dp[i - 1][3] + max_pxmy[v[i]]); + val0 = max(val0,dp[i - 1][4] + max_pxpy[v[i]]); + dp[i][0] = val0; + int val1 = -inf; + val1 = max(val1,dp[i - 1][1]); + val1 = max(val1,dp[i - 1][2] + 2 * max_py[v[i]]); + val1 = max(val1,dp[i - 1][3] + 2 * max_px[v[i]]); + val1 = max(val1,dp[i - 1][4] + 2 * max_pxpy[v[i]]); + dp[i][1] = val1; + int val2 = -inf; + val2 = max(val2,dp[i - 1][1] + 2 * max_my[v[i]]); + val2 = max(val2,dp[i - 1][2]); + val2 = max(val2,dp[i - 1][3] + 2 * max_pxmy[v[i]]); + val2 = max(val2,dp[i - 1][4] + 2 * max_px[v[i]]); + dp[i][2] = val2; + int val3 = -inf; + val3 = max(val3,dp[i - 1][1] + 2 * max_mx[v[i]]); + val3 = max(val3,dp[i - 1][2] + 2 * max_mxpy[v[i]]); + val3 = max(val3,dp[i - 1][3]); + val3 = max(val3,dp[i - 1][4] + 2 * max_py[v[i]]); + dp[i][3] = val3; + int val4 = -inf; + val4 = max(val4,dp[i - 1][1] + 2 * max_mxmy[v[i]]); + val4 = max(val4,dp[i - 1][2] + 2 * max_mx[v[i]]); + val4 = max(val4,dp[i - 1][3] + 2 * max_my[v[i]]); + val4 = max(val4,dp[i - 1][4]); + dp[i][4] = val4; + //cout << dp[i][0] << ' ' << dp[i][1] << ' ' << dp[i][2] << ' ' << dp[i][3] << ' ' << dp[i][4] << '\n'; + } + cout << dp[m][0] << '\n'; + } + return 0; +} + +/** +0 -> nimic +1 -> +x+y +2 -> +x-y +3 -> -x+y +4 -> -x-y +**/ + +/** +10 +4 7 15670 +19 2 33967 +-10 -4 25333 +-3 6 57312 +2 -6 191291 +0 -8 152287 +-1 4 161306 +17 1 177377 +3 -20 74203 +20 -5 37760 +1 +5 152287 74203 74203 74203 37760 +**/ diff --git a/2023/rcpc/d2/editorial/i-ksumt-586.cpp b/2023/rcpc/d2/editorial/i-ksumt-586.cpp new file mode 100644 index 0000000..0036a1b --- /dev/null +++ b/2023/rcpc/d2/editorial/i-ksumt-586.cpp @@ -0,0 +1,81 @@ +#include + +using namespace std; + +#define int long long + +const int modulo = 1e9 + 7; + +int k,s,t; +int fact[5000005],invfact[5000005]; + +int C(int x,int y) +{ + if (x < y) + return 0; + if (y < 0) + return 0; + return fact[x] * invfact[y] % modulo * invfact[x - y] % modulo; +} + +int f(int x,int y) +{ + if (x < y) + return 0; + if (x == 0 and y == 0) + return 1; + if (y == 0) + return 0; + ///in cate moduri pot distribui x in y numere pozitive + ///in cate moduri pot pune y - 1 bare in x - 1 pozitii cu oricare doua bare diferite + ///C(x - 1,y - 1) + return C(x - 1,y - 1); +} + +int lgpow(int x,int y) +{ + int z = 1; + while (y != 0) + { + if (y % 2 == 1) + z = z * x % modulo; + x = x * x % modulo; + y /= 2; + } + return z; +} + +void prec() +{ + fact[0] = invfact[0] = 1; + for (int i = 1; i <= 5e6; i++) + fact[i] = i * fact[i - 1] % modulo; + invfact[(int)5e6] = lgpow(fact[(int)5e6],modulo - 2); + for (int i = 5e6 - 1; i >= 1; i--) + invfact[i] = invfact[i + 1] * (i + 1) % modulo; +} + +signed main() +{ + prec(); + cin >> k >> s >> t; + int d = k / t,r = k % t; + int ans = 0; + for (int x = 0; x <= s / (d + 1); x++) + { + if ((s - (d + 1) * x) % d == 0) + ans = (ans + f(x,r) * f((s - (d + 1) * x) / d,t - r)) % modulo; + } + cout << ans; + return 0; +} + +/** +int d = k / t,r = k % t +(d + 1)(a[1] + a[2] + ... + a[r]) + d(a[r + 1] + ... + a[k]) +fie x = a[1] + ... + a[r] +pentru fiecare x posibil, avem: +0 daca (s - (d + 1)x) % d != 0 +f(x,r) * f((s - (d + 1)x) / d,k - r) altfel +si avem suma din asta +**/ diff --git a/2023/rcpc/d2/editorial/i-ksumt-67.cpp b/2023/rcpc/d2/editorial/i-ksumt-67.cpp new file mode 100644 index 0000000..f216701 --- /dev/null +++ b/2023/rcpc/d2/editorial/i-ksumt-67.cpp @@ -0,0 +1,102 @@ +#include +#include +#include +#include +#warning That's the baby, that's not my baby + +typedef long long ll; + + +/** + +b[0] = a[1] = a[t + 1] = a[2 * t + 1] = ... +b[1] = a[2] = a[t + 2] = a[2 * t + 2] = ... +b[2] = a[3] = a[t + 3] = a[2 * t + 3] = ... + +b[0] * x + b[1] * x + ... + b[i] * x + b[i + 1] * (x - 1) + b[i + 2] * (x - 1) + ... b[t - 1] * (x - 1) = s + +x * (b[0] + b[1] + ... + b[i]) + (x - 1) * (b[i + 1] + b[i + 2] + ... + b[t - 1]) = s + +i = k % t, x = k / t + 1 + +x * a + b * (x - 1) = s + +**/ + +const int mod = 1e9 + 7; +const int NMAX = 1e7; + +int fac[NMAX + 1], ifac[NMAX + 1]; + +int power(int a, int b) { + int p = 1; + while (b) { + if (b & 1) { + p = (ll) p * a % mod; + } + a = (ll) a * a % mod; + b >>= 1; + } + return p; +} + +int C(int n, int k) { + if (n < k) { + return 0; + } + return (ll) fac[n] * ifac[k] % mod * ifac[n - k] % mod; +} + +int sb(int n, int k) { + return C(k - 1, n - 1); +} + +int main() { + fac[0] = 1; + for (int i = 1; i <= NMAX; i++) { + fac[i] = (ll) fac[i - 1] * i % mod; + } + ifac[NMAX] = power(fac[NMAX], mod - 2); + for (int i = NMAX - 1; i >= 0; i--) { + ifac[i] = (ll) ifac[i + 1] * (i + 1) % mod; + } + for (int i = 0; i <= NMAX; i++) { + assert((ll) fac[i] * ifac[i] % mod == 1); + } + + int k, s, t; + std::cin >> k >> s >> t; + + int i = k % t, x = k / t + 1; // x >= 2 + + if (i == 0) { + if (s % (x - 1) != 0) { + std::cout << 0; + } else { + std::cout << sb(t, s / (x - 1)); + } + return 0; + } + + /// x * a + b * (x - 1) = s + + int answer = 0; + + for (int a = 0; a * x <= s; a++) { + int b = s - a * x; + if (b % (x - 1) != 0) { + continue; + } + b /= x - 1; + /// a = suma primelor i, b = suma ultimelor t - i + answer += (ll) sb(i, a) * sb(t - i, b) % mod; + + if (answer >= mod) { + answer -= mod; + } + } + + std::cout << answer; + + return 0; +} diff --git a/2023/rcpc/d2/editorial/j-parallelogram-38.cpp b/2023/rcpc/d2/editorial/j-parallelogram-38.cpp new file mode 100644 index 0000000..65c0b63 --- /dev/null +++ b/2023/rcpc/d2/editorial/j-parallelogram-38.cpp @@ -0,0 +1,45 @@ +#include +#include +#include +#include +#warning That's the baby, that's not my baby + +typedef long long ll; + +void solve() { + int n; + std::cin >> n; + int f[n] = {}; + for (int i = 0; i < n; i++) { + int x; + std::cin >> x; + --x; + f[x]++; + } + int gr4 = 0, gr2 = 0; + for (int i = 0; i < n; i++) { + if (f[i] >= 4) { + gr4++; + } else if (f[i] >= 2) { + gr2++; + } + } + if (gr4 > 0 || gr2 >= 2) { + std::cout << "YES\n"; + } else { + std::cout << "NO\n"; + } +} + +int main() { + std::ios_base::sync_with_stdio(false); + std::cin.tie(0); + + int t; + std::cin >> t; + while (t--) { + solve(); + } + + return 0; +} diff --git a/2023/rcpc/d2/editorial/k-blabla-49.cpp b/2023/rcpc/d2/editorial/k-blabla-49.cpp new file mode 100644 index 0000000..8278b05 --- /dev/null +++ b/2023/rcpc/d2/editorial/k-blabla-49.cpp @@ -0,0 +1,289 @@ +#include + +using namespace std; + +#define int long long + +int n,v[200005]; +int ans; + +void solvell(int l,int r)///ambele in stanga +{ + int mij = (l + r) / 2; + int rmax = mij + 1; + int maxst = 0,minst = 1e9; + for (int i = mij; i >= l; i--) + { + maxst = max(maxst,v[i]); + minst = min(minst,v[i]); + while (rmax <= r and v[rmax] <= maxst and v[rmax] >= minst) + rmax++; + int topr = maxst - minst + i; + int rreal = min(topr,rmax - 1); + ans += max(0ll,rreal - mij); + } +} + +void solverr(int l,int r)///ambele in dreapta +{ + int mij = (l + r) / 2; + int lmax = mij; + int maxdr = 0,mindr = 1e9; + for (int i = mij + 1; i <= r; i++) + { + maxdr = max(maxdr,v[i]); + mindr = min(mindr,v[i]); + while (lmax >= l and v[lmax] < maxdr and v[lmax] > mindr) + lmax--; + int topl = i - maxdr + mindr; + int lreal = max(topl,lmax + 1); + ans += max(0ll,mij - lreal + 1); + } +} + +struct ura +{ + int l,r,val; +}; + +vectorqueries; + +void addquery(int l,int r,int val) +{ + ura aux; + aux.l = l; + aux.r = r; + aux.val = val; + queries.push_back(aux); +} + +int aib[200005]; +vector>updates; + +void update(int pos,int val) +{ + for (int i = pos; i <= n; i += (i & -i)) + aib[i] += val; +} + +int query(int pos) +{ + int x = 0; + for (int i = pos; i > 0; i -= (i & -i)) + x += aib[i]; + return x; +} + +void upd(int pos,int val) +{ + updates.push_back({pos,val}); + update(pos,val); +} + +void resetaib() +{ + for (auto it : updates) + update(it.first,-it.second); + updates.clear(); +} + +bool cmp(ura A,ura B) +{ + return A.val < B.val; +} + +void solvequeries(int l,int r) +{ + sort(queries.begin(),queries.end(),cmp); + vector>values; + int mxx = 0; + int mij = (l + r) / 2; + for (int i = mij + 1; i <= r; i++) + { + mxx = max(mxx,v[i]); + values.push_back({i - mxx,i}); + } + sort(values.begin(),values.end()); + int i1 = 0; + for (int i = 0; i < queries.size(); i++) + { + while (i1 < values.size() and values[i1].first <= queries[i].val) + upd(values[i1].second,1ll),i1++; + ans += query(queries[i].r) - query(queries[i].l - 1); + } + resetaib(); +} + +void solvelr(int l,int r)///min in stanga,max in dreapta +{ + int mij = (l + r) / 2; + int maxst = 0,minst = 1e9; + vectorpremax(r - mij + 2); + premax[1] = v[mij + 1]; + for (int i = mij + 2; i <= r; i++) + premax[i - mij] = max(premax[i - mij - 1],v[i]); + int rmin = mij + 1,rmax = mij + 1;///nu se poate r < rmin fiindca nu ar mai fi max in dreapta, nu se poate r >= rmax fiindca ar fi min in dreapta + for (int i = mij; i >= l; i--) + { + maxst = max(maxst,v[i]); + minst = min(minst,v[i]); + while (rmin <= r and premax[rmin - mij] <= maxst) + rmin++; + while (rmax <= r and v[rmax] >= minst) + rmax++; + //if (l == 1 and r == 10) + // cout << i << ' ' << rmin << ' ' << rmax << '\n'; + if (rmin <= rmax - 1) + { + ///ma intreb cate valori intre rmin si rmax - 1 sunt valide + ///o valoare e valida daca r - maxpref[r] <= l - minst + addquery(rmin,rmax - 1,i - minst); + } + } + solvequeries(l,r); + queries.clear(); +} + + + + + +struct ura2 +{ + int l,r,val; +}; + +vectorqueries2; + +void addquery2(int l,int r,int val) +{ + ura2 aux; + aux.l = l; + aux.r = r; + aux.val = val; + queries2.push_back(aux); +} + +int aib2[200005]; +vector>updates2; + +void update2(int pos,int val) +{ + for (int i = pos; i <= 2 * n; i += (i & -i)) + aib2[i] += val; +} + +int query2(int pos) +{ + int x = 0; + for (int i = pos; i > 0; i -= (i & -i)) + x += aib2[i]; + return x; +} + +void upd2(int pos,int val) +{ + updates2.push_back({pos,val}); + update2(pos,val); +} + +void resetaib2() +{ + for (auto it : updates2) + update2(it.first,-it.second); + updates2.clear(); +} + +bool cmp2(ura2 A, ura2 B) +{ + return A.val < B.val; +} + +void solvequeries2(int l,int r) +{ + sort(queries2.begin(),queries2.end(),cmp2); + vector>values; + int mij = (l + r) / 2; + int mxx = 0; + for (int i = mij; i >= l; i--) + { + mxx = max(mxx,v[i]); + values.push_back({i + mxx,i}); + } + sort(values.begin(),values.end()); + int i1 = 0; + for (int i = 0; i < queries2.size(); i++) + { + while (i1 < values.size() and values[i1].first < queries2[i].val) + upd2(values[i1].second,1),i1++; + ans += (queries2[i].r - queries2[i].l + 1); + ans -= (query2(queries2[i].r) - query2(queries2[i].l - 1)); + } + resetaib2(); +} + +void solverl(int l,int r)///min in dreapta,max in stanga +{ + int mij = (l + r) / 2; + int maxdr = 0,mindr = 1e9; + vectorsufmax(mij - l + 2); + sufmax[mij - l + 1] = v[mij]; + for (int i = mij - 1; i >= l; i--) + sufmax[i - l + 1] = max(sufmax[i - l + 2],v[i]); + int lmin = mij,lmax = mij;///nu se poate l > lmax fiindca nu ar mai fi max in stanga, nu se poate l <= lmin fiindca ar fi min in stanga + for (int i = mij + 1; i <= r; i++) + { + maxdr = max(maxdr,v[i]); + mindr = min(mindr,v[i]); + while (lmax >= l and sufmax[lmax - l + 1] < maxdr) + lmax--; + while (lmin >= l and v[lmin] > mindr) + lmin--; + //if (l == 1 and r == 9) + // cout << i << ' '<< lmin << ' ' << lmax << '\n'; + if (lmin + 1 <= lmax) + { + ///ma intreb cate valori intre lmin + 1 si lmax sunt valide + ///o valoare e valida daca l + maxsuf[l] >= r + mindr + addquery2(lmin + 1,lmax,i + mindr); + } + } + solvequeries2(l,r); + queries2.clear(); +} + +void solve(int l,int r) +{ + if (l > r) + return; + if (l == r) + { + ans++; + return; + } + int mij = (l + r) / 2; + solve(l,mij); + solve(mij + 1,r); + //cout << l << ' ' << r << ' '; + solvell(l,r); + //cout << ans - d1 << ' '; + solverr(l,r); + //cout << ans - d1 << ' '; + solvelr(l,r); + //cout << ans - d1 << ' '; + solverl(l,r); + //cout << ans - d1 << '\n'; +} + +signed main() +{ + ios_base::sync_with_stdio(false); + cin.tie(NULL); + cout.tie(NULL); + cin >> n; + for (int i = 1; i <= n; i++) + cin >> v[i]; + solve(1,n); + cout << ans; + return 0; +} diff --git a/2023/rcpc/d2/editorial/k-blabla-681.cpp b/2023/rcpc/d2/editorial/k-blabla-681.cpp new file mode 100644 index 0000000..637bbf5 --- /dev/null +++ b/2023/rcpc/d2/editorial/k-blabla-681.cpp @@ -0,0 +1,166 @@ +#include + +#define int long long + +using namespace std; + +struct rmq +{ + vector> rmq; + vector lg; + void build(vector a) + { + int n = a.size() - 1; + lg = vector(n + 1); + for (int i = 2; i <= n; ++i) + { + lg[i] = lg[i / 2] + 1; + } + rmq = vector>(n + 1, vector(lg[n] + 1)); + for (int i = 1; i <= n; ++i) + { + rmq[i][0] = a[i]; + } + for (int j = 1; j <= lg[n]; ++j) + { + for (int i = 1; i + (1 << j) - 1 <= n; ++i) + { + rmq[i][j] = min(rmq[i][j - 1], rmq[i + (1 << (j - 1))][j - 1]); + } + } + } + int query(int st, int dr) + { + int pow_2 = lg[dr - st + 1]; + return min(rmq[st][pow_2], rmq[dr - (1 << pow_2) + 1][pow_2]); + } +}; + +const int nmax = 2e5; +const int vmax = 2e5; + +struct aib +{ + int n; + vector a; + void resize(int _n) + { + n = _n; + a = vector(n + 1); + } + void update(int pos, int val) + { + for (int i = pos; i <= n; i += i & (-i)) + { + a[i] += val; + } + } + void clear(int pos) + { + for (int i = pos; i <= n; i += i & (-i)) + { + a[i] = 0; + } + } + int query(int pos) + { + if (pos < 0) + { + return 0; + } + int ans = 0; + for (int i = pos; i; i -= i & (-i)) + { + ans += a[i]; + } + return ans; + } +}; +vector a; +aib tree; +rmq adam; +int divide(int st, int dr) +{ + if (st == dr) + { + return 1; + } + int mid = (st + dr) / 2; + int ans = divide(st, mid) + divide(mid + 1, dr); + int p1 = mid + 1, p2 = mid + 1; + int maxi = 0, mini = INT_MAX; + for (int i = mid; i >= st; --i) + { + maxi = max(maxi, a[i]); + mini = min(mini, a[i]); + while (p2 <= dr && a[p2] <= maxi) + { + tree.update(adam.query(mid + 1, p2) + (p2 - mid), 1); + p2++; + } + while (p1 <= dr && a[p1] >= mini) + { + tree.update(adam.query(mid + 1, p1) + (p1 - mid), -1); + p1++; + } + int l = p1, r = p2 - 1; + if (l <= r) + { + ans += tree.query(maxi - (mid - i + 1) + 1); + } + int cnt = min(l, r + 1) - (mid + 1); + ans += max(0ll, min(cnt, maxi - mini + 1 - (mid - i + 1))); + } + + for (int i = mid + 1; i <= dr; ++i) + { + tree.clear(adam.query(mid + 1, i) + (i - mid)); + } + + p1 = mid, p2 = mid; + maxi = 0, mini = INT_MAX; + for (int i = mid + 1; i <= dr; ++i) + { + maxi = max(maxi, a[i]); + mini = min(mini, a[i]); + while (p2 >= st && a[p2] < maxi) + { + tree.update(adam.query(p2, mid) + (mid - p2 + 1), 1); + p2--; + } + while (p1 >= st && a[p1] >= mini) + { + tree.update(adam.query(p1, mid) + (mid - p1 + 1), -1); + p1--; + } + int l = p2 + 1, r = p1; + if (l <= r) + { + ans += tree.query(maxi - (i - mid) + 1); + } + + int cnt = mid - max(l - 1, r); + ans += max(0ll, min(cnt, maxi - mini + 1 - (i - mid))); + } + + for (int i = mid; i >= st; --i) + { + tree.clear(adam.query(i, mid) + (mid - i + 1)); + } + + return ans; +} +int32_t main() +{ + cin.tie(nullptr)->sync_with_stdio(false); + int n; + cin >> n; + a = vector(n + 1); + for (int i = 1; i <= n; ++i) + { + cin >> a[i]; + } + adam.build(a); + tree.resize(nmax + vmax); + cout << divide(1, n); +} \ No newline at end of file diff --git a/2023/rcpc/d2/editorial/l-dush-108.cpp b/2023/rcpc/d2/editorial/l-dush-108.cpp new file mode 100644 index 0000000..64149bc --- /dev/null +++ b/2023/rcpc/d2/editorial/l-dush-108.cpp @@ -0,0 +1,92 @@ +#include +#include +#include +#define NRINT (100'000 + 5) + +using namespace std; + +struct interval +{ + int apa, timpapa, inceput; +}; + +struct preferinte +{ + int apa, timpdus; +}; + +int tmin[1500000]; +int tnext[21][NRINT]; +int nrinterv[21]; +interval dus[NRINT]; +preferinte om[21]; +int log2[1500000]; + +inline int lsb(int val) +{ + return val&(-val); +} + +int bs(int val, int pers) +{ + int st, dr, mid, last; + st = 0; + dr = nrinterv[pers]; + while(st <= dr) + { + mid = (st + dr) / 2; + if(dus[tnext[pers][mid]].inceput > val) + dr = mid - 1; + else + { + last = mid; + st = mid + 1; + } + } + return last; +} + +int main() +{ + // freopen("dush.in", "r", stdin); + // freopen("dush.out", "w", stdout); + + int n, m, i, j, missing, pozc, nex; + scanf("%d%d", &n, &m); + for(i = 1; i <= n; ++ i) + scanf("%d%d", &om[i].apa, &om[i].timpdus); + for(i = 1; i <= m; ++ i) + scanf("%d%d%d", &dus[i].inceput, &dus[i].timpapa, &dus[i].apa); + for(i = 1; i <= m; ++ i) + { + for(j = 1; j <= n; ++ j) + if(dus[i].apa == om[j].apa && dus[i].timpapa >= om[j].timpdus) + tnext[j][++ nrinterv[j]] = i; + } + for(i = 1; i < 1500000; ++ i) + tmin[i] = 2000000000; + for(i = 2; i <= (1 << n); ++ i) + log2[i] = log2[i/2] + 1; + for(i = 0; i < (1 << n); ++ i) + { + missing = ((1 << n) - 1) ^ i; + while(missing) + { + nex = lsb(missing); + j = log2[nex] + 1; + pozc = bs(tmin[i], j); + if(pozc > 0) + if(dus[tnext[j][pozc]].inceput + dus[tnext[j][pozc]].timpapa >= tmin[i] + om[j].timpdus) + if(tmin[i] + om[j].timpdus < tmin[i ^ nex]) + tmin[i ^ nex] = tmin[i] + om[j].timpdus; + if(pozc < nrinterv[j]) + if(tmin[i ^ nex] > dus[tnext[j][pozc + 1]].inceput + om[j].timpdus) + tmin[i ^ nex] = dus[tnext[j][pozc + 1]].inceput + om[j].timpdus; + missing ^= nex; + } + } + printf("%d", tmin[(1 << n) - 1]); + + assert(tmin[(1 << n) - 1] < 2'000'000'000); + return 0; +} diff --git a/2023/rcpc/d2/editorial/l-dush-682.cpp b/2023/rcpc/d2/editorial/l-dush-682.cpp new file mode 100644 index 0000000..eaaaf25 --- /dev/null +++ b/2023/rcpc/d2/editorial/l-dush-682.cpp @@ -0,0 +1,88 @@ +#include + +using namespace std; + +#define int long long + +const int inf = 1e18; + +int n,m; +int tip[25],a[25]; +int s[100005],d[100005],t[100005]; +int dp[(1 << 20) + 5];///timpul minim la care mask isi fac dus +vector>interv[3]; +int topt[25][100005]; + +void prec() +{ + for (int om = 0; om < n; om++) + { + int tp = tip[om]; + int lg = a[om]; + topt[om][interv[tp].size()] = inf; + for (int i = interv[tp].size() - 1; i >= 0; i--) + { + topt[om][i] = topt[om][i + 1]; + if (interv[tp][i].second >= lg) + topt[om][i] = interv[tp][i].first + lg; + } + } +} + +int f(int ti,int om) +{ + if (ti == inf) + return inf; + int st = -1,pas = 1 << 16; + while (pas != 0) + { + if (st + pas < interv[tip[om]].size() and interv[tip[om]][st + pas].first <= ti) + st += pas; + pas /= 2; + } + ///st este ultimul interval cu s <= ti + int timp = inf; + if (st != -1) + { + if (interv[tip[om]][st].first + interv[tip[om]][st].second - ti >= a[om]) + timp = ti + a[om]; + } + if (timp == inf and st + 1 != interv[tip[om]].size()) + { + timp = topt[om][st + 1]; + } + //cout << ti << ' ' << om << ' ' << timp << '\n'; + return timp; +} + +signed main() +{ + ios_base::sync_with_stdio(false); + cin.tie(NULL); + cout.tie(NULL); + cin >> n >> m; + for (int i = 0; i < n; i++) + cin >> tip[i] >> a[i],tip[i]++; + for (int i = 1; i <= m; i++) + { + cin >> s[i] >> d[i] >> t[i],t[i]++; + interv[t[i]].push_back({s[i],d[i]}); + } + prec(); + for (int mask = 1; mask < (1 << n); mask++) + { + int minim = inf; + for (int bit = 0; bit < n; bit++) + { + if ((mask & (1 << bit)) != 0) + { + int tant = dp[mask - (1 << bit)]; + minim = min(minim,f(tant,bit)); + } + } + dp[mask] = minim; + //cout << dp[mask] << '\n'; + } + cout << dp[(1 << n) - 1]; + return 0; +} diff --git a/2023/rcpc/d2/editorial/m-dragons-694.cpp b/2023/rcpc/d2/editorial/m-dragons-694.cpp new file mode 100644 index 0000000..39ac0de --- /dev/null +++ b/2023/rcpc/d2/editorial/m-dragons-694.cpp @@ -0,0 +1,393 @@ +#include + +using namespace std; + +#ifdef LOCAL +ifstream fin("dragons.in"); +ofstream fout("dragons.out"); +#else +#define fin cin +#define fout cout +#endif + +void YN(bool cond) { + if(cond) { + fout << "YES\n"; + } else { + fout << "NO\n"; + } +} + +const int kV = 1000; +const int kQ = 1e4; +const int kN = 1e4; +const int kLog = 14; +const int kS = 1000; +const int kB = /*2 * kN / sqrt(kQ)*/ 120; + +int weight[kN]; +vector plusminus; +int tin[kN], tout[kN]; +vector adj[kN]; +int par[kN][kLog + 1], rmq[kN][kLog + 1]; + +void dfs(int u = 0, int v = 0) { + plusminus.emplace_back(u); + tin[u] = plusminus.size() - 1; + + par[u][0] = v; + rmq[u][0] = weight[u]; + for(int i = 1; i <= kLog; i++) { + par[u][i] = par[par[u][i - 1]][i - 1]; + rmq[u][i] = max(rmq[u][i - 1], rmq[par[u][i - 1]][i - 1]); + } + + for(const auto &it: adj[u]) if(it != v) { + dfs(it, u); + } + + plusminus.emplace_back(u); + tout[u] = plusminus.size() - 1; +} + +bool upper(int u, int v) { + return tin[u] <= tin[v] && tin[v] <= tout[u]; +} + +int lcaQuery(int u, int v) { + if(upper(u, v)) { + return u; + } + if(upper(v, u)) { + return v; + } + + for(int i = kLog; i >= 0; i--) { + if(par[u][i] && !upper(par[u][i], v)) { + u = par[u][i]; + } + } + + return par[u][0]; +} + +void maxSelf(int &x, int y) { + if(y > x) { + x = y; + } +} + +int maxQuery(int u, int v) { + if(upper(u, v)) { + swap(u, v); + } + + int ret = 0; + for(int i = kLog; i >= 0; i--) { + if(par[u][i] && !upper(par[u][i], v)) { + maxSelf(ret, rmq[u][i]); + u = par[u][i]; + } + } + maxSelf(ret, rmq[u][0]); + + return ret; +} + +int maxChain(int u, int v) { + int lca = lcaQuery(u, v), res = weight[lca]; + maxSelf(res, maxQuery(u, lca)); + maxSelf(res, maxQuery(v, lca)); + return res; +} + +struct Query { + int left, right, mx, hp, idx, lca, bucket; + + Query() {} + Query(int left, int right, int mx, int hp, int idx, int lca): left(left), right(right), mx(mx), hp(hp), idx(idx), lca(lca), bucket(left / kB) {} + + bool operator < (const Query &oth) const { + if(mx == oth.mx) { + if(bucket == oth.bucket) { + if(bucket & 1) { + return right > oth.right; + } + return right < oth.right; + } + return bucket < oth.bucket; + } + return mx < oth.mx; + } +}; + +vector Qs; +vector ans; + +struct subsetSum { + struct bol { + uint32_t v1; + uint64_t v2; + // __uint128_t v3; + + bol() {} + bol(uint32_t v1, uint64_t v2/*, __uint128_t v3*/): v1(v1), v2(v2)/*, v3(v3)*/ {} + + bol& operator += (const bol &addValue) { + v1 += addValue.v1; + v2 += addValue.v2; + // v3 += addValue.v3; + return *this; + } + + bol& operator += (const uint64_t &addValue) { + v1 += addValue; + v2 += addValue; + // v3 += addValue; + return *this; + } + + bol& operator -= (const uint64_t &subValue) { + v1 -= subValue; + v2 -= subValue; + // v3 -= subValue; + return *this; + } + + bol& operator -= (const bol &subValue) { + v1 -= subValue.v1; + v2 -= subValue.v2; + // v3 -= subValue.v3; + return *this; + } + + bool operator == (bool cond) const { + return (v1 || v2/* || v3*/) == cond; + } + + bool operator ! () const { + return !(v1 || v2/* || v3*/); + } + }; + int n; + vector dp; + + subsetSum() {} + subsetSum(int n): n(n), dp(n) { + // printf("subsetSum dp(%d);\n", n); + init(); + } + + void init() { + dp[0] = bol(1, 1); + for(int i = 1; i < n; i++) { + dp[i] = bol(0, 0); + } + } + + void insert(int weight) { + // printf("dp.insert(%d);\n", weight); + for(int i = n - 1; i >= weight; i--) { + dp[i] += dp[i - weight]; + } + } + + void erase(int weight) { + // printf("dp.erase(%d);\n", weight); + for(int i = weight; i < n; i++) { + dp[i] -= dp[i - weight]; + } + } + + bool query(int weight) { + // printf("cout << dp.query(%d) << '\\n';\n", weight); + return dp[weight] == 1; + } + + bool operator [] (int weight) { + return query(weight); + } +}; + +subsetSum dp; +vector marked; +int frq[kV + 1], to_update[kV + 1]; + +void add(int u) { + if(marked[u] == 0) { + frq[weight[u]]++; + to_update[weight[u]]++; + marked[u] = 1; + } else { + frq[weight[u]]--; + to_update[weight[u]]--; + marked[u] = 0; + } +} + +void updateAll(int mx) { + for(int i = 1; i < mx; i++) { + if(to_update[i] < 0) { + to_update[i] = -to_update[i]; + while(to_update[i]) { + to_update[i]--; + dp.erase(i); + } + } else { + while(to_update[i]) { + to_update[i]--; + dp.insert(i); + } + } + } +} + +void updateOne(int i) { + int cnt = 1; + if(to_update[i] < 0) { + to_update[i] = -to_update[i]; + while(to_update[i]) { + to_update[i]--; + dp.erase(i); + } + } else { + while(to_update[i]) { + to_update[i]--; + dp.insert(i); + } + } +} + +int main() { + fin.tie(nullptr)->sync_with_stdio(false); + int n; + assert(fin >> n); + assert(2 <= n && n <= kN); + + for(int i = 0; i < n; i++) { + assert(fin >> weight[i]); + assert(1 <= weight[i] && weight[i] <= kV); + } + + for(int i = 1; i < n; i++) { + int u, v; + assert(fin >> u >> v); + assert(1 <= u && u <= n); + assert(1 <= v && v <= n); + u--; v--; + + adj[u].emplace_back(v); + adj[v].emplace_back(u); + } + + dfs(); + + int q; + assert(fin >> q); + assert(1 <= q && q <= kQ); + ans = vector(q); + + for(int i = 0; i < q; i++) { + int u, v, hp; + assert(fin >> u >> v >> hp); + assert(1 <= u && u <= n); + assert(1 <= v && v <= n); + assert(0 <= hp && hp <= kV); + u--; v--; + + if(tin[u] > tin[v]) { + swap(u, v); + } + + int lca = lcaQuery(u, v), mx = maxChain(u, v); + + if(lca == u) { + Qs.emplace_back(tin[u], tin[v], mx, hp, i, -1); + } else { + Qs.emplace_back(tout[u], tin[v], mx, hp, i, lca); + } + } + + sort(Qs.begin(), Qs.end()); + dp = subsetSum(kS + 1); + + int lst = -1, l, r; + + for(int i = 0; i < q; i++) { + int left = Qs[i].left; + int right = Qs[i].right; + int mx = Qs[i].mx; + int hp = Qs[i].hp; + int lca = Qs[i].lca; + + if(mx != lst) { + memset(to_update, 0, sizeof(to_update)); + memset(frq, 0, sizeof(frq)); + marked = vector(n); + dp.init(); + + l = left; + r = right; + + for(int j = l; j <= r; j++) { + add(plusminus[j]); + } + } else { + while(l < left) { + add(plusminus[l]); // rem + l++; + } + + while(l > left) { + l--; + add(plusminus[l]); + } + + while(r < right) { + r++; + add(plusminus[r]); + } + + while(r > right) { + add(plusminus[r]); // rem + r--; + } + } + + if(lca != -1) { + add(lca); + } + updateAll(mx); + + int frq_mx = frq[mx]; + + bool crt_ans = 0; + for(int cnt = 0; crt_ans == 0 && cnt <= frq_mx && cnt * mx <= hp; cnt++) { + int crt_hp = hp - cnt * mx, crt_frq = frq_mx - cnt; + if(crt_frq & 1) { + if(crt_hp >= mx && dp[crt_hp - mx]) { + crt_ans = 1; + } + } else if(dp[crt_hp]){ + crt_ans = 1; + } + } + + ans[Qs[i].idx] = crt_ans; + + if(lca != -1) { + add(lca); // rem + if(weight[lca] != mx) { + updateOne(weight[lca]); + } + } + to_update[mx] = 0; + + lst = mx; + } + + for(int i = 0; i < q; i++) { + YN(ans[i]); + } + return 0; +} \ No newline at end of file diff --git a/2023/rcpc/d2/editorial/m-dragons-696.cpp b/2023/rcpc/d2/editorial/m-dragons-696.cpp new file mode 100644 index 0000000..0937a55 --- /dev/null +++ b/2023/rcpc/d2/editorial/m-dragons-696.cpp @@ -0,0 +1,122 @@ +#include + +using namespace std; + +#ifdef LOCAL +ifstream fin("brute.in"); +ofstream fout("brute.out"); +#else +#define fin cin +#define fout cout +#endif + +void YN(bool cond) { + if(cond) { + fout << "YES\n"; + } else { + fout << "NO\n"; + } +} + +const int kV = 1000; +const int kQ = 1e4; +const int kN = 1e4; +const int kS = 1000; + +vector depth, parent, weight; +vector> adj; + +void dfs(int u = 0, int v = -1) { + for(const auto &it: adj[u]) if(it != v) { + depth[it] = depth[u] + 1; + parent[it] = u; + dfs(it, u); + } +} + +bool check_greedy(const vector &h, int hp) { + bitset dp; + dp[0] = 1; + int mx = 0, frq = 1; + for(const auto &it: h) { + if(it > mx) { + mx = it; + frq = 1; + } else if(it == mx) { + frq++; + } + } + for(const auto &it: h) { + if(it != mx && it <= hp) { + dp |= dp << it; + } + } + for(int i = 0; i <= frq; i++) { + if(i * mx > hp) { + return 0; + } + int crt_hp = hp - i * mx, crt_frq = frq - i; + if(crt_frq & 1) { + if(crt_hp >= mx && dp[crt_hp - mx]) { + return 1; + } + } else { + if(dp[crt_hp]) { + return 1; + } + } + } + return 0; +} + +int main() { + int n; + fin >> n; + adj = vector>(n); + weight = vector(n); + + for(auto &it: weight) { + fin >> it; + } + + for(int i = 1; i < n; i++) { + int u, v; + fin >> u >> v; + u--; v--; + + adj[u].emplace_back(v); + adj[v].emplace_back(u); + } + + depth = vector(n); + parent = vector(n); + dfs(); + + int q; + fin >> q; + for(int i = 0; i < q; i++) { + int u, v, hp; + fin >> u >> v >> hp; + u--; v--; + + vector h; + if(depth[u] < depth[v]) { + swap(u, v); + } + while(depth[u] > depth[v]) { + h.emplace_back(weight[u]); + u = parent[u]; + } + while(u != v) { + h.emplace_back(weight[u]); + h.emplace_back(weight[v]); + u = parent[u]; + v = parent[v]; + } + h.emplace_back(weight[u]); + bool ans = check_greedy(h, hp); + YN(ans); + } + + return 0; +} \ No newline at end of file diff --git a/2023/rcpc/d2/statements.pdf b/2023/rcpc/d2/statements.pdf new file mode 100644 index 0000000000000000000000000000000000000000..74966a8e51bf755c378bd928157ea92a44b34eb6 GIT binary patch literal 671578 zcmc$_by!@@vha($ySoP)7~CC#Yl6GGySqCChXBFdg9i`pF2NyKaOV#1-us+)e`nuw zzyB`J)I7bat7~=jbj`!mZ#A`&xFi#R8Hhl=y)!wBz(vMNW^ZJLz|W7sVr)nTKwuG- zCu32tcd|9KK@b!~Ftsyz@8Z7Asko`Jy@@FT%Rg+$fIv>R_ggx#{uv_!Mm0WOlz< z?J^(ErLD;@@Rb#o#_qWAPk0>5SuMI|$E{i&x90xbt~)0dj>0PAO&*csBR)Y`YO&w! zdh><_r%FLflG%?43%R>hYZYqPn~@5ck^&$%@mz#rTRJ z^5Wf>Olf>h@CrV0`2k+W+lI=?2;*Y;;t@=5gmOp`c@wW@8ZAi;YW0#*EU~w!rTMal z1@53p3M^5%?+xm9zP5!3KPwm6?<*6f`1g+yXE!^Tkco-7aSIqp^ALAJc+q1DR)mMN z!cW#7kvoZX1-$Ny6y!dz19*C4~_$b0D>QBvKo*mXQP+8^&kXbRlpWA|D5 z-8x-aOczv!#YfN|aqvGJJ#F$9S9e?aZ4I_Z`=?#zjiei9L1^{YTsCCFMhHi+eh9z@ z3N>5lQH8hh8e~vA5Di&#$Cm#t2l$pZ1nZDfcxtuF^2n3Qc;)J$!3&hIjiY@%L{AFS z8n7o&({|h&S)5lzC)0s6pVHJGlCq94i?5l@M)XoMBXj-X`rtzzhCX2TlGVzyAJ zrw#IWUuHwa(ZaB|bCt#q7PZbUoC+8`nIh7LC`E8>5~{@=*3jWD>~Nk#&YD3(V;&4FSPSVDxMT?hN+7{2iL$D_~Gs-4xf?{`a>LIFx#T(X6&-n ze75g09N8KbExHWp1YcYoHjp#pg#~_fmSHPwGbs2iDF#*2*V>8CYf|kw)O!xpGxd0D zX2SU%V|5HQW+}DBB#ZR81f&?(@`)%^sCyIKBlp5rLo!Upz655|d~*E0hdj4MwU!%} z_0?(wo&)8s+(%-D;4WYKwr3sC6IJ9gFsQN>q7_@NYpl~5-D0LjKP;ujvr|QK2q3OK zgO(4QgWKHhObbT(vf5yXD7{i27)rZE;^oRlV%p(Iv;f}|*Ylv4Faxgfea`MPifbz} zn|@HMEv0s1-8 z57d6u^<_Ro4#v9Xo$D%@t3sL@2MIQp-#X;W@XOK$boZ-npM9P*oPG9${Eh8P@`D+k zDAax<=6mwe_Z*Oy>`^NXj1xMCSm7Sze`j!~r0rn6jk>Hrj9zSAK?I(s0`~AH4|fvX zHzN53kAH3We0(^3G8T1tHr*?vjTiDRf7pNBSDoCRMfJFH?IFyiQ8S-_?m8~ApSAwT zwCLWT=p5Kx>hl!lq}N6-o|^TC@7lH%QZaYjA+oE=C+qfyp1`ypoKo9Q`A@pqQtV~H zX)8Z1;KwBP4{ccUrXj@6MFB3G%offVPF6A-awx|@r{RM zx0lCq`l3IO8wbZ}< z(_a-|BUe4_0ruf4Z*3s25KL zU$bTMeqAv!tH$=}^~PSi*pfbdv~c9yY@R~YxU%V;gYne`?XwI4$b1QJy_%c09Lf-Gq<}TOmB8o6KnO|BV zYy&QjUb&VN5yPCa_Yd3NtNgizD=cioLuFgRioj}x+B7CRJBP8qZ*$41^QHjL<-r|v z_0hHKB*AXH9V9@MOXMV*9*JC=lvN8_km%m=d`D1-k7mzdRUW?up@nR#&R+e z_ejQ~6pCTHC1anb5s^@07gyT}auSg_&>5iC6dHEav`D~ z{DVm{rwo@@v7pqaLrXh%k`6^in@!R(q;b+xwd!%M8@fd;?UPe8!NL_|r_7tg>Yq66 z1!jlSkkQ6#h5j=Qu<27MS*>3%TUc>-jY_nr8EN{FGIysZ(>>hJoX`1Y&qXKH$=jWf zL#%Td%YnaJV*M;hFMlr`)H34)N>}bF??HDVGf-()?R`d>>sO&Dvnh_Oz(&V)R5*6y zb(>4sUDa#ts(xMNxHVee-#^8?O4JPkF(N0bGzJiHX#Jj+BoW&IJ7RuwMVeWaK3LVpQZiy z_@u?@P1EJrxPK^YKN9C+T{rUU_LJrsb;fPl%gdAYiF%)6jECg;8QsFt&9YbFhNhm) z2WBi{`4{{tbb(}#Ms z&Yi7i&z^yYnpuNE$k*3#S|u?hDJAit6f-)JC}>44STP>YIH6%C#{~dra^)37=Fe`x zFxRRW#78XrUeF5h!{<6t@N6`Cr`?-a<18;=d}b(ti!aa|AgEf4#%77pLFJ6VA+{l! z15|F(xX<}XxIccB9y+!=#BNLd6ZYE9G;n1+Ylg+zd4^_4fsDYiu$oFt8L3!D z@I~5O$uFC7?|H^T31Qn+dQv3EV%yah1@TxC-vExM*6x*j?5bk_N9F@S;aHQ4Z(*Ev z`^x+`?WYUAoG$e%6Cc5$7avb6gl%V|dH(L+XBnHzm43Ogf4-jm0mw1K6qHXvfeCcY z`V<+ur*f;aq$cw;8YBp)(N|AFF%6PN`co*<;qqqel;o1nDx(lSVVB{)3X-NYVc|J3 z$pa#Zx<@7*RsIFp-yR_$1JBxn%tmZ7QKKpw*e%R95@bwBLih_3@M6&=U^IF1xA_v) zw>_y<^p23C^80bElM~??5VYf8_&Mrj!){D}>_sqh zh3?DwChbl~7rHgKiWx$QNr0VxViGi#^c)9$j~abUz+^+62gRJ`gFZ-1V&($2%ieot zB2ypn@!JC|^Pkf<>#yX{tY8Sx+h5%L; 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