Submission #749305

#TimeUsernameProblemLanguageResultExecution timeMemory
749305happypotatoCatfish Farm (IOI22_fish)C++17
0 / 100
764 ms2097152 KiB
#include "fish.h" #include <bits/stdc++.h> using namespace std; #define int long long long long max_weights(int32_t n, int32_t m, vector<int32_t> X, vector<int32_t> Y, vector<int32_t> W) { int a[n + 1][n + 1]; for (int i = 0; i <= n; i++) { for (int j = 0; j <= n; j++) { a[i][j] = 0; } } for (int i = 0; i < m; i++) { X[i]++; Y[i]++; a[X[i]][Y[i]] = W[i]; } // for (int i = 1; i <= n; i++) { // for (int j = 1; j <= n; j++) { // cerr << a[i][j] << ' '; // } // cerr << endl; // } // cerr << endl; int ps[n + 1][n + 1]; // ps[i][j] = a[i][1] + ... + a[i][j] for (int i = 1; i <= n; i++) { ps[i][0] = 0; for (int j = 1; j <= n; j++) { ps[i][j] = ps[i][j - 1] + a[i][j]; } } int dp[2][n + 1][n + 1]; // dp[increasing][pos][height] = max ans from 1 to pos with pos getting height, height must be increasing for (int i = 0; i <= n; i++) { dp[0][0][i] = dp[1][0][i] = (i == 0 ? 0 : -1e18); dp[0][1][i] = dp[1][1][i] = 0; } int cur[n + 1]; function<void(void)> resetcur = [&]() { for (int i = 0; i <= n; i++) cur[i] = 0; }; for (int i = 2; i <= n; i++) { for (int j = 0; j <= n; j++) { dp[0][i][j] = dp[1][i][j] = 0; } // Case 0: height of i is 0 resetcur(); dp[0][i][0] = max(dp[0][i - 1][0], dp[1][i - 1][0]); for (int j = 1; j <= n; j++) { dp[0][i][0] = max(dp[0][i][0], max(dp[0][i - 1][j], dp[1][i - 1][j]) + ps[i][j]); } dp[1][i][0] = dp[0][i][0]; // Case 1: height of i-1 is 0 // Case 1.1: height of i-2 <= height of i resetcur(); cur[0] = dp[0][i - 2][0]; for (int j = 1; j <= n; j++) { cur[j] = max(cur[j - 1], max(dp[0][i - 2][j], dp[1][i - 2][j])); } for (int j = 0; j <= n; j++) { dp[0][i][j] = max(dp[0][i][j], cur[j] + ps[i - 1][j]); dp[1][i][j] = max(dp[1][i][j], cur[j] + ps[i - 1][j]); } // Case 1.2: height of i-2 >= height of i resetcur(); cur[n] = dp[0][i - 2][n] + ps[i - 1][n]; for (int j = n - 1; j >= 0; j--) { cur[j] = max(cur[j + 1], max(dp[0][i - 2][j], dp[1][i - 2][j]) + ps[i - 1][j]); } for (int j = 0; j <= n; j++) { dp[0][i][j] = max(dp[0][i][j], cur[j]); dp[1][i][j] = max(dp[1][i][j], cur[j]); } // now height of i-1 > 0 // Case 2: height of i-1 <= height of i resetcur(); cur[1] = dp[0][i - 1][1]; for (int j = 2; j <= n; j++) { cur[j] = max(cur[j - 1] + a[i - 1][j], dp[0][i - 1][j]); } for (int j = 1; j <= n; j++) { dp[0][i][j] = max(dp[0][i][j], cur[j]); } // Case 3: height of i-1 >= height of i resetcur(); cur[n] = dp[1][i - 1][n]; for (int j = n - 1; j >= 1; j--) { cur[j] = max(cur[j + 1] + a[i][j + 1], dp[1][i - 1][j]); } for (int j = 1; j <= n; j++) { dp[1][i][j] = max(dp[1][i][j], cur[j]); } dp[1][i][0] = max(dp[1][i][0], dp[1][i][1] + a[i][1]); } int ans = 0; for (int i = 0; i <= n; i++) { // cerr << dp[0][n][i] << ' ' << dp[1][n][i] << endl; ans = max(ans, max(dp[0][n][i], dp[1][n][i])); } return ans; } #undef int
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