Submission #1074295

#TimeUsernameProblemLanguageResultExecution timeMemory
1074295Gromp15Catfish Farm (IOI22_fish)C++17
67 / 100
1062 ms56452 KiB
#include <bits/stdc++.h> #include "fish.h" #define ll long long #define ar array #define sz(x) (int)x.size() #define all(x) x.begin(), x.end() using namespace std; const ll INF = 1e18; template<typename T> bool ckmin(T &a, const T &b ) { return a > b ? a = b, 1 : 0; } template<typename T> bool ckmax(T &a, const T &b ) { return a < b ? a = b, 1 : 0; } long long max_weights(int n, int m, std::vector<int> x, std::vector<int> y, std::vector<int> w) { vector<vector<ar<ll, 2>>> each(n); for (int i = 0; i < m; i++) { each[x[i]].push_back({y[i], w[i]}); each[x[i]].push_back({y[i]-1, 0}); } for (int i = 0; i < n; i++) each[i].push_back({n-1, 0}), each[i].push_back({-1, 0}); for (int i = 0; i < n; i++) { sort(all(each[i])); vector<ar<ll, 2>> nw; ll s = 0; for (int j = 0; j < sz(each[i]); j++) { int r = j; while (r+1 < sz(each[i]) && each[i][r+1][0] == each[i][r][0]) r++; for (int k = j; k <= r; k++) s += each[i][k][1]; nw.push_back({each[i][j][0], s}); j = r; } assert(is_sorted(all(nw))); swap(each[i], nw); } vector<vector<ll>> dp; auto query = [&](int pos, int x) { return prev(upper_bound(all(each[pos]), ar<ll, 2>{x, LLONG_MAX})) - each[pos].begin(); }; if (*max_element(all(x)) <= 1) { ar<ll, 2> ans{}; for (int i = 0; i < m; i++) ans[x[i]] += w[i]; ll ans2 = max(ans[0], ans[1]); if (n > 2) { for (auto [x, y] : each[1]) { ckmax(ans2, each[1].back()[1] - y + each[0][query(0, x)][1]); } } return ans2; } vector<vector<ar<int, 3>>> val(n); for (int i = 0; i < n; i++) { val[i].resize(sz(each[i])); for (int k = 0; k < sz(each[i]); k++) { for (int j = -1; j <= 1; j++) { if (i + j >= 0 && i + j < n) { val[i][k][j+1] = query(i + j, each[i][k][0]); } } } } vector<vector<ll>> dp3, dp4, dp5; for (int i = 0; i < n; i++) { vector<vector<ll>> dp2; const int N = sz(each[i]); dp2.resize(i ? sz(each[i-1]) : 1, vector<ll>(N, -INF)); if (!i) { for (int j = 0; j < N; j++) { dp2[0][j] = 0; } swap(dp, dp2); } else { dp3 = dp, dp4 = dp; for (int i = 1; i < sz(dp3); i++) for (int j = 0; j < sz(dp[i]); j++) ckmax(dp3[i][j], dp3[i-1][j]); if (i-2 >= 0) { for (int j = 0; j < sz(dp4); j++) for (int k = 0; k < sz(dp4[j]); k++) { int R = val[i-2][j][2]; dp4[j][k] = dp[j][k] + (k <= R ? each[i-1][R][1] - each[i-1][k][1] : 0); } for (int j = sz(dp4) - 2; j >= 0; j--) for (int k = 0; k < sz(dp4[j]); k++) { ckmax(dp4[j][k], dp4[j+1][k]); } } for (int k = 0; k < sz(dp[0]); k++) { for (int l = 0; l < N; l++) { int ans = 0; { int l2 = 0, r = i-2 >= 0 ? sz(each[i-2]) - 1 : -1; while (l2 <= r) { int mid = (l2+r)/2; if (val[i-2][mid][2] <= val[i][l][0]) ans = mid, l2 = mid+1; else r = mid-1; } } { int L = k, R = val[i][l][0]; ll cost = L <= R ? each[i-1][R][1] - each[i-1][L][1] : 0; ckmax(dp2[k][l], dp3[ans][k] + cost); } if (ans + 1 < sz(dp)) ckmax(dp2[k][l], dp4[ans+1][k]); } } swap(dp, dp2); } } ll ans = -INF; for (int i = 0; i < sz(dp); i++) { for (int j = 0; j < sz(dp[i]); j++) { int L = j, R = val[n-2][i][2]; ckmax(ans, dp[i][j] + (L <= R ? each[n-1][R][1] - each[n-1][L][1] : 0)); } } return ans; }
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