HDU 3498 whosyourdaddy【Dancing Links重复覆盖】
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有n个单位的敌人,对某个敌人进行攻击时该敌人以及与其直接相邻的敌人都会被消灭。问消灭所有敌人所需的最少攻击次数。
重复覆盖问题。我把此题贴出来是想说剪枝优化很有必要,一个小细节就能决定是TLE还是AC。
#include <iostream>#include <cstdio>#include <cstring>#include <algorithm>#include <cmath> using namespace std;const int maxn = 60*60 + 10;const int oo = 1 << 30;const int maxrow = 60;const int maxcol = 60;int mtx[maxrow][maxcol];int n, m, ans;int totRow, totCol, head, idx;int L[maxn], R[maxn], U[maxn], D[maxn];int RH[maxn], CH[maxn], S[maxn];void initMtx(){ memset(mtx, 0, sizeof(mtx)); for (int i = 0; i < n; ++i) { mtx[i][i] = 1; } int a, b; for (int i = 0; i < m; ++i) { scanf("%d%d", &a, &b); a--; b--; mtx[a][b] = mtx[b][a] = 1; }}int newNode(int up, int down, int left, int right){ U[idx] = up; D[idx] = down; L[idx] = left; R[idx] = right; U[down] = D[up] = L[right] = R[left] = idx; return idx++;}void build(){ idx = maxn - 1; head = newNode(idx, idx, idx, idx); idx = 0; for (int j = 0; j < totCol; ++j) { newNode(idx, idx, L[head], head); CH[j] = j; S[j] = 0; } for (int i = 0; i < totRow; ++i) { int k = -1; for (int j = 0; j < totCol; ++j) { if (!mtx[i][j]) continue; if (-1 == k) { k = newNode(U[CH[j]], CH[j], idx, idx); RH[k] = i; CH[k] = j; S[j]++; } else { k = newNode(U[CH[j]], CH[j], k, R[k]); RH[k] = i; CH[k] = j; S[j]++; } } }}void remove(int c){ for (int i = D[c]; i != c; i = D[i]) { L[R[i]] = L[i]; R[L[i]] = R[i]; /*S[CH[i]]--;*/ }}void resume(int c){ for (int i = U[c]; i != c; i = U[i]) { L[R[i]] = R[L[i]] = i; /*S[CH[i]]++;*/ }}/*估价函数*/int h(){ bool vis[maxcol]; memset(vis, false, sizeof(vis)); int ret = 0; for (int i = R[head]; i != head; i = R[i]) { if (!vis[i]) { ret++; vis[i] = true; for (int j = D[i]; j != i; j = D[j]) { for (int k = R[j]; k != j; k = R[k]) { vis[CH[k]] = true; } } } } return ret;}void dance(int cnt){ if (cnt + h() >= ans) { //此处写成">"会TLE return ; } if (R[head] == head) { ans = cnt; return ; } int c, Min = oo; for (int i = R[head]; i != head; i = R[i]) { if (S[i] < Min) { Min = S[i]; c = i; } } for (int i = D[c]; i != c; i = D[i]) { remove(i); for (int j = R[i]; j != i; j = R[j]) { remove(j); } dance(cnt + 1); for (int j = L[i]; j != i; j = L[j]) { resume(j); } resume(i); } return ; }int main(){ while (scanf("%d%d", &n, &m) != EOF) { totRow = n; totCol = n; initMtx(); build(); ans = oo; dance(0); printf("%d\n", ans); } return 0;}
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