Submission #255368

#TimeUsernameProblemLanguageResultExecution timeMemory
255368VEGAnnDomino (COCI15_domino)C++14
160 / 160
545 ms211448 KiB
#include <bits/stdc++.h> #define PB push_back #define i2 array<int,2> #define sz(x) ((int)x.size()) using namespace std; typedef long long ll; const int N = 2010; const int oo = 2e9; const int cnst = 50; vector<i2> who[N]; ll glob = 0; int n, k, a[N][N], S, T, GO[4][2] = {{0, 1}, {0, -1}, {1, 0}, {-1, 0}}; int dst[N * N], pre[N * N]; bool good[N][N]; struct edge{ int a, b, cap, flow, cost; edge(): a(0), b(0), cap(0), flow(0), cost(0) {} edge(int _a, int _b, int c, int f, int co): a(_a), b(_b), cap(c), flow(f), cost(co) {} }; vector<edge> edges; vector<int> g[N * N]; void add_edge(int a, int b, int cst){ g[a].PB(sz(edges)); edges.PB(edge(a, b, 1, 0, cst)); g[b].PB(sz(edges)); edges.PB(edge(b, a, 0, 0, -cst)); } int main(){ ios_base::sync_with_stdio(0); cin.tie(0); #ifdef _LOCAL freopen("in.txt","r",stdin); #endif // _LOCAL cin >> n >> k; for (int i = 0; i < n; i++) for (int j = 0; j < n; j++) { cin >> a[i][j]; glob += a[i][j]; } S = n * n; T = n * n + 1; for (int i = 0; i < n; i++) for (int j = 0; j < n; j++){ if (i > 0) who[a[i][j] + a[i - 1][j]].PB({i * n + j, (i - 1) * n + j}); if (j > 0) who[a[i][j] + a[i][j - 1]].PB({i * n + j, i * n + j - 1}); } int rem = cnst; for (int i = N - 1; i >= 0 && rem > 0; i--) for (int itr = 0; itr < sz(who[i]) && rem > 0; itr++){ i2 cur = who[i][itr]; good[cur[0] / n][cur[0] % n] = 1; good[cur[1] / n][cur[1] % n] = 1; rem--; } for (int i = 0; i < n; i++) for (int j = 0; j < n; j++) if ((i + j) & 1){ if (good[i][j]) add_edge(i * n + j, T, 0); } else { if (!good[i][j]) continue; add_edge(S, i * n + j, 0); for (int it = 0; it < 4; it++){ int x = i + GO[it][0]; int y = j + GO[it][1]; if (x < 0 || x >= n || y < 0 || y >= n || !good[x][y]) continue; add_edge(i * n + j, x * n + y, -(a[i][j] + a[x][y])); } } ll cost = 0; for (int itr = 0; itr < k; itr++){ fill(dst, dst + T + 1, oo); dst[S] = 0; for (int nit = 0; nit < 2 * cnst; nit++){ for (int idx = 0; idx < sz(edges); idx++) { edge cr = edges[idx]; if (dst[cr.a] < oo && cr.flow < cr.cap && dst[cr.b] > dst[cr.a] + cr.cost) { dst[cr.b] = dst[cr.a] + cr.cost; pre[cr.b] = idx; } } } cost += dst[T]; int pos = T; while (pos != S){ int id = pre[pos]; edges[id].flow++; edges[id ^ 1].flow--; pos = edges[id].a; } } cout << glob + cost; return 0; }
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