Submission #1158751

#TimeUsernameProblemLanguageResultExecution timeMemory
1158751InvMODCatfish Farm (IOI22_fish)C++20
100 / 100
228 ms87104 KiB
#include<bits/stdc++.h> //#define name "InvMOD" #ifndef name #include "fish.h" #endif // name using namespace std; #define fi first #define se second //#define int long long #define sz(v) (int)(v).size() #define all(v) (v).begin(), (v).end() #define dbg(x) "[" << #x " = " << (x) << "]" using ll = long long; namespace Subtask1{ bool ckSub(vector<int>& X){ for(int i = 0; i < sz(X); i++){ if(X[i] & 1) return false; } return true; } ll process(vector<int>& W){ ll answer = 0; for(int i = 0; i < sz(W); i++){ answer += W[i]; } return answer; } } namespace Subtask2{ bool ckSub(vector<int>& X){ for(int i = 0; i < sz(X); i++){ if(X[i] > 1) return false; } return true; } ll process(int n, vector<int>& X, vector<int>& Y, vector<int>& W){ vector<vector<int>> row(2, vector<int>(n + 1)); vector<ll> sum(2, 0); for(int i = 0; i < sz(X); i++){ row[X[i]][Y[i] + 1] = W[i]; sum[X[i]] += 1ll * W[i]; } ll answer = max(sum[0], sum[1]), pref = 0; if(n > 2){ for(int i = 1; i <= n; i++){ pref += row[0][i]; sum[1] -= row[1][i]; answer = max(answer, pref + sum[1]); } } return answer; } } namespace Subtask45{ bool ckSub(int n){ return n <= 300; } ll process(int n, vector<int>& X, vector<int>& Y, vector<int>& W){ vector<vector<int>> row(n + 1, vector<int>(n + 1)); for(int i = 0; i < sz(X); i++){ row[X[i] + 1][Y[i] + 1] = W[i]; } vector<vector<ll>> pref(n + 1, vector<ll>(n + 1)); for(int i = 1; i <= n; i++){ for(int j = 1; j <= n; j++){ pref[i][j] = pref[i][j - 1] + row[i][j]; } } vector<vector<ll>> f(n + 1, vector<ll>(n + 1)); vector<vector<ll>> g(n + 1, vector<ll>(n + 1)); // f[i][j]: did not take from j + 1 -> n // g[i][j]: take from j + 1 -> n for(int i = 1; i <= n; i++){ for(int r = 0; r <= n; r++){ for(int l = 0; l <= n; l++){ f[i][r] = max(f[i][r], f[i - 1][l] + max(0ll, pref[i - 1][r] - pref[i - 1][l])); f[i][r] = max(f[i][r], g[i - 1][l]); } //cout << i <<" " << r <<" " << dbg(f[i][r]) << "\n"; } if(i > 1){ for(int r = 0; r <= n; r++){ for(int l = 0; l <= n; l++){ g[i][r] = max(g[i][r], f[i - 1][l] + max(0ll, pref[i - 1][r] - pref[i - 1][l]) + max(0ll, pref[i][l] - pref[i][r])); g[i][r] = max(g[i][r], g[i - 1][l] + max(0ll, pref[i][l] - pref[i][r])); } //cout << i <<" " << r <<" " << dbg(g[i][r]) << "\n"; } } } ll answer = 0; for(int i = 1; i <= n; i++){ for(int j = 0; j <= n; j++){ answer = max(answer, f[i][j]); answer = max(answer, g[i][j]); } } return answer; } } namespace Subtask6{ bool ckSub(int n){ return n <= 3000; } ll process(int n, vector<int>& X, vector<int>& Y, vector<int>& W){ vector<vector<int>> row(n + 1, vector<int>(n + 1)); for(int i = 0; i < sz(X); i++){ row[X[i] + 1][Y[i] + 1] = W[i]; } vector<vector<ll>> pref(n + 1, vector<ll>(n + 1)); for(int i = 1; i <= n; i++){ for(int j = 1; j <= n; j++){ pref[i][j] = pref[i][j - 1] + row[i][j]; } } vector<vector<ll>> f(n + 1, vector<ll>(n + 1)); vector<vector<ll>> g(n + 1, vector<ll>(n + 1)); // f[i][j]: did not take from j + 1 -> n // g[i][j]: take from j + 1 -> n vector<vector<ll>> pMx(n + 1, vector<ll>(n + 1)); vector<vector<ll>> sMx(n + 1, vector<ll>(n + 1)); vector<vector<ll>> sgMx(n + 1, vector<ll>(n + 1)); vector<vector<ll>> pgMx(n + 1, vector<ll>(n + 1)); for(int i = 1; i <= n; i++){ for(int l = 0; l <= n; l++){ pMx[i - 1][l] = f[i - 1][l] - pref[i - 1][l]; pgMx[i - 1][l] = g[i - 1][l]; if(l > 0){ pMx[i - 1][l] = max(pMx[i - 1][l], pMx[i - 1][l - 1]); pgMx[i - 1][l] = max(pgMx[i - 1][l], pgMx[i - 1][l - 1]); } } for(int r = 0; r <= n; r++){ f[i][r] = max(f[i][r], pMx[i - 1][r] + pref[i - 1][r]); f[i][r] = max(f[i][r], pgMx[i - 1][n]); //cout << i <<" " << r <<" " << dbg(f[i][r]) << "\n"; } if(i > 1){ for(int l = n; l >= 0; l--){ sMx[i - 1][l] = f[i - 1][l] + pref[i][l]; sgMx[i - 1][l] = g[i - 1][l] + pref[i][l]; if(l < n){ sMx[i - 1][l] = max(sMx[i - 1][l], sMx[i - 1][l + 1]); sgMx[i - 1][l] = max(sgMx[i - 1][l], sgMx[i - 1][l + 1]); } } for(int r = 0; r <= n; r++){ g[i][r] = max(g[i][r], sMx[i - 1][r] - pref[i][r]); g[i][r] = max(g[i][r], sgMx[i - 1][r] - pref[i][r]); //cout << i <<" " << r <<" " << dbg(g[i][r]) << "\n"; } } } ll answer = 0; for(int i = 1; i <= n; i++){ for(int j = 0; j <= n; j++){ answer = max(answer, f[i][j]); answer = max(answer, g[i][j]); } } return answer; } } namespace Subtask8{ ll process(int n, vector<int>& X, vector<int>& Y, vector<int>& W){ vector<vector<pair<int ,ll>>> row(n + 1, vector<pair<int, ll>>(1, make_pair(0, 0))); for(int i = 0; i < sz(X); i++){ row[X[i] + 1].push_back(make_pair(Y[i] + 1, W[i])); } vector<vector<ll>> pref(n + 1, vector<ll>(2, 0)); for(int i = 0; i <= n; i++){ row[i].push_back(make_pair(0, 0)); row[i].push_back(make_pair(n, 0)); sort(1 + all(row[i])); vector<pair<int, ll>> comp; for(int j = 0; j < sz(row[i]); j++){ if(!sz(comp)){ comp.push_back(row[i][j]); } else if(row[i][j].fi != comp.back().fi){ comp.push_back(row[i][j]); } else{ comp.back().se = row[i][j].se; } } row[i] = comp; pref[i].resize(sz(row[i])); for(int j = 1; j < sz(row[i]); j++){ pref[i][j] = pref[i][j - 1] + row[i][j].se; } } vector<vector<ll>> f(n + 1, vector<ll>(2, 0)); vector<vector<ll>> g(n + 1, vector<ll>(2, 0)); vector<vector<ll>> pMx(n + 1, vector<ll>(2, 0)); vector<vector<ll>> sMx(n + 1, vector<ll>(2, 0)); vector<vector<ll>> sgMx(n + 1, vector<ll>(2, 0)); vector<vector<ll>> pgMx(n + 1, vector<ll>(2, 0)); for(int i = 1; i <= n; i++){ f[i].resize(sz(row[i])); g[i].resize(sz(row[i])); pMx[i - 1].resize(sz(row[i - 1])); pgMx[i - 1].resize(sz(row[i - 1])); for(int l = 0; l < sz(row[i - 1]); l++){ pMx[i - 1][l] = f[i - 1][l] - pref[i - 1][l]; pgMx[i - 1][l] = g[i - 1][l]; if(l > 0){ pMx[i - 1][l] = max(pMx[i - 1][l], pMx[i - 1][l - 1]); pgMx[i - 1][l] = max(pgMx[i - 1][l], pgMx[i - 1][l - 1]); } } for(int r = 0, l = 0; r < sz(row[i]); r++){ if(r < sz(row[i]) - 1){ while(l < sz(row[i - 1]) && row[i - 1][l].fi < row[i][r + 1].fi) l++; --l; } else l = sz(row[i - 1]) - 1; f[i][r] = max(f[i][r], pMx[i - 1][l] + pref[i - 1][l]); f[i][r] = max(f[i][r], pgMx[i - 1].back()); } if(i > 1){ sMx[i - 1].resize(sz(row[i - 1])); sgMx[i - 1].resize(sz(row[i - 1])); for(int l = sz(row[i - 1]) - 1, r = sz(row[i]) - 1; l >= 0; l--){ if(row[i - 1][l].fi <= row[i][r].fi){ sMx[i - 1][l] = f[i - 1][l] + pref[i][r]; sgMx[i - 1][l] = g[i - 1][l] + pref[i][r]; } while(r >= 0 && row[i][r].fi >= row[i - 1][l].fi) r--; if(l < sz(row[i - 1]) - 1){ sMx[i - 1][l] = max(sMx[i - 1][l], sMx[i - 1][l + 1]); sgMx[i - 1][l] = max(sgMx[i - 1][l], sgMx[i - 1][l + 1]); } } for(int l = 0, r = 0; l < sz(row[i]); l++){ while(r < sz(row[i - 1]) && row[i - 1][r].fi <= row[i][l].fi) r++; r = max(r - 1, 0); g[i][l] = max(g[i][l], sMx[i - 1][r] - pref[i][l]); g[i][l] = max(g[i][l], sgMx[i - 1][r] - pref[i][l]); } } } ll answer = 0; for(int i = 1; i <= n; i++){ for(int j = 0; j < sz(row[i]); j++){ answer = max(answer, f[i][j]); answer = max(answer, g[i][j]); } } return answer; } } ll max_weights(int n, int m, vector<int> X, vector<int> Y, vector<int> W){ return Subtask8::process(n, X, Y, W); }
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