Submission #654810

#TimeUsernameProblemLanguageResultExecution timeMemory
654810t6twotwoCatfish Farm (IOI22_fish)C++17
35 / 100
1104 ms2097152 KiB
#include "fish.h" #include <bits/stdc++.h> using namespace std; const long long inf = -(1LL << 50); long long max_weights(int n, int m, vector<int> x, vector<int> y, vector<int> w) { vector P(n, vector<int>(n + 1)); for (int i = 0; i < m; i++) { P[x[i]][y[i] + 1] = w[i]; } vector s(n, vector<long long>(n + 2)); for (int i = 0; i < n; i++) { for (int j = 0; j <= n; j++) { s[i][j + 1] = s[i][j] + P[i][j]; } } auto range_sum = [&](int i, int l, int r) -> long long { if (i == -1) { return 0; } return s[i][r + 1] - s[i][l + 1]; }; vector<vector<int>> b(n); for (int i = 0; i < m; i++) { b[x[i]].push_back(i); } vector d(n, vector<int>{0}); for (int i = 0; i < n; i++) { for (int j = 1; j <= n; j++) { d[i].push_back(j); } } vector<vector<int>> r(n), p(n); for (int i = 0; i < n; i++) { sort(b[i].begin(), b[i].end(), [&](int j, int k) { return y[j] < y[k]; }); for (int j : b[i]) { r[i].push_back(y[j] + 1); p[i].push_back(w[j]); if (i > 0) { // d[i - 1].push_back(y[j] + 1); } if (i < n - 1) { // d[i + 1].push_back(y[j] + 1); } } } vector<vector<long long>> ssum(n), psum(n); for (int i = 0; i < n; i++) { int k = p[i].size(); psum[i] = vector<long long>(k + 1); ssum[i] = vector<long long>(k + 1); for (int j = 0; j < k; j++) { psum[i][j + 1] = psum[i][j] + p[i][j]; } for (int j = k - 1; j >= 0; j--) { ssum[i][j] = ssum[i][j + 1] + p[i][j]; } } // auto suf_sum = [&](int i, int x) -> long long { // if (i == -1) { // return 0; // } // long long ans = 0; // for (int j = 0; j < p[i].size(); j++) { // if (r[i][j] > x) { // ans += p[i][j]; // } // } // return ans; // return ssum[i][upper_bound(r[i].begin(), r[i].end(), x) - r[i].begin()]; // }; // auto pre_sum = [&](int i, int x) -> long long { // if (i == -1) { // return 0; // } // long long ans = 0; // for (int j = 0; j < p[i].size(); j++) { // if (r[i][j] <= x) { // ans += p[i][j]; // } // } // return ans; // return psum[i][upper_bound(r[i].begin(), r[i].end(), x) - r[i].begin()]; // }; vector<int> e{0}; vector<array<long long, 2>> dp{{0, 0}}; for (int i = 0; i < n; i++) { auto pd = dp; int l = d[i].size(); dp = vector(l, array<long long, 2>{inf, inf}); int k = pd.size(); vector<long long> pmax(k + 1, inf); for (int j = 0; j < k; j++) { pmax[j + 1] = max(pmax[j], pd[j][0] + range_sum(i - 1, e[j], n)); //suf_sum(i - 1, e[j])); } vector<long long> smax(k + 1, inf); for (int j = k - 1; j >= 0; j--) { smax[j] = max(smax[j + 1], max(pd[j][0], pd[j][1]) - range_sum(i, e[j], n)); //suf_sum(i, e[j])); } for (int j = 0; j < k; j++) { dp[0][0] = max(dp[0][0], max(pd[j][0], pd[j][1])); dp[0][1] = max(dp[0][1], max(pd[j][0], pd[j][1]) + range_sum(i, 0, e[j])); //pre_sum(i, e[j])); } for (int j = 1; j < l; j++) { dp[j][0] = max({dp[j][0], max(pd[0][1], pd[0][0] + range_sum(i - 1, 0, d[i][j]) /*pre_sum(i - 1, d[i][j])*/), pmax[upper_bound(e.begin(), e.end(), d[i][j]) - e.begin()] - range_sum(i - 1, d[i][j], n)}); //suf_sum(i - 1, d[i][j])}); dp[j][1] = max({dp[j][1], max(pd[0][1], pd[0][0] + range_sum(i - 1, 0, d[i][j]) /*pre_sum(i - 1, d[i][j])*/), smax[lower_bound(e.begin(), e.end(), d[i][j]) - e.begin()] + range_sum(i, d[i][j], n)}); //suf_sum(i, d[i][j])}); } swap(e, d[i]); } long long ans = inf; for (auto v : dp) { ans = max(ans, max(v[0], v[1])); } return ans; }
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