#714076 (C) No.1744 Selfish Spies 1 (à la Princess' Perfectionism)

• 問題: No.1744 Selfish Spies 1 (à la Princess' Perfectionism)
• ユーザー: 👑 ygussany
• 提出日時: 2021-11-07 19:54:27
• 言語: C (gcc 12.3.0)
• 結果: AC
• 実行時間: 446 ms / 5,000 ms
• コード長: 3,183 bytes
• コンパイル時間: 954 ms
• コンパイル使用メモリ: 31,872 KB
• 実行使用メモリ: 6,016 KB
• 最終ジャッジ日時: 2024-05-07 12:18:21
• 合計ジャッジ時間: 4,131 ms
• ジャッジサーバーID （参考情報）: judge5 / judge2

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	1 ms; 5,248 KB
testcase_01	AC	1 ms; 5,376 KB
testcase_02	AC	1 ms; 5,376 KB
testcase_03	AC	1 ms; 5,376 KB
testcase_04	AC	1 ms; 5,376 KB
testcase_05	AC	1 ms; 5,376 KB
testcase_06	AC	1 ms; 5,376 KB
testcase_07	AC	1 ms; 5,376 KB
testcase_08	AC	1 ms; 5,376 KB
testcase_09	AC	1 ms; 5,376 KB
testcase_10	AC	1 ms; 5,376 KB
testcase_11	AC	1 ms; 5,376 KB
testcase_12	AC	1 ms; 5,376 KB
testcase_13	AC	1 ms; 5,376 KB
testcase_14	AC	2 ms; 5,376 KB
testcase_15	AC	2 ms; 5,376 KB
testcase_16	AC	2 ms; 5,376 KB
testcase_17	AC	7 ms; 5,376 KB
testcase_18	AC	6 ms; 5,376 KB
testcase_19	AC	1 ms; 5,376 KB
testcase_20	AC	2 ms; 5,376 KB
testcase_21	AC	2 ms; 5,376 KB
testcase_22	AC	2 ms; 5,376 KB
testcase_23	AC	2 ms; 5,376 KB
testcase_24	AC	13 ms; 5,376 KB
testcase_25	AC	1 ms; 5,376 KB
testcase_26	AC	3 ms; 5,376 KB
testcase_27	AC	5 ms; 5,376 KB
testcase_28	AC	120 ms; 5,888 KB
testcase_29	AC	7 ms; 5,376 KB
testcase_30	AC	8 ms; 5,376 KB
testcase_31	AC	6 ms; 5,376 KB
testcase_32	AC	6 ms; 5,376 KB
testcase_33	AC	93 ms; 6,016 KB
testcase_34	AC	88 ms; 5,760 KB
testcase_35	AC	443 ms; 5,888 KB
testcase_36	AC	446 ms; 6,016 KB
testcase_37	AC	370 ms; 6,016 KB
testcase_38	AC	201 ms; 5,888 KB

ソースコード

#include <stdio.h>
#include <stdlib.h>

#define N_MAX 500
#define M_MAX 500
#define L_MAX 100000

typedef struct Edge {
	struct Edge *next;
	int v;
} edge;



int bipartite_matching_augmentation_naive(int N, char color[], edge* adj[], int mate[])
{
	static int i, u, w, par[N_MAX + M_MAX + 1], q[N_MAX + M_MAX + 1], head, tail;
	edge *p;
	for (u = 1, tail = 0; u <= N; u++) {
		if (color[u] == 0 && mate[u] == 0) {
			par[u] = u;
			q[tail++] = u;
		} else par[u] = 0;
	}
	for (head = 0; head < tail; head++) {
		u = q[head];
		if (color[u] == 0) {
			for (p = adj[u]; p != NULL; p = p->next) {
				w = p->v;
				if (par[w] == 0) {
					par[w] = u;
					if (mate[w] == 0) break;
					q[tail++] = w;
				}
			}
			if (p != NULL) break;
		} else {
			par[mate[u]] = u;
			q[tail++] = mate[u];
		}
	}
	if (head == tail) return 0;
	
	// Augmentation
	for (u = par[w]; u != w; w = par[u], u = par[w]) {
		mate[u] = w;
		mate[w] = u;
	}
	return 1;
}

int bipartite_matching(int N, char color[], edge* adj[], int mate[])
{
	int i, u, dif, ans = 0;
	edge *p;
	for (u = 1; u <= N; u++) mate[u] = 0; // Initialization
	do { // Augmentation
		dif = bipartite_matching_augmentation_naive(N, color, adj, mate);
		ans += dif;
	} while (dif != 0);
	return ans;
}



// 1. Relatively Naive solution (O((N + M) L) time)
void rel_naive1(int N, int M, int L, int s[], int t[], char ans[])
{
	static char color[N_MAX + M_MAX + 1];
	static int i, u, w, mate[N_MAX + M_MAX + 1];
	static edge *adj[N_MAX + M_MAX + 1], e[L_MAX * 2 + 1], *p;
	for (u = 1; u <= N + M; u++) {
		adj[u] = NULL;
		color[u] = (u > N)? 1: 0;
	}
	for (i = 0; i < L; i++) {
		u = s[i+1];
		w = t[i+1] + N;
		e[i*2].v = w;
		e[i*2].next = adj[u];
		adj[u] = &(e[i*2]);
		e[i*2+1].v = u;
		e[i*2+1].next = adj[w];
		adj[w] = &(e[i*2+1]);
	}
	
	static int tmp_mate[N_MAX + M_MAX + 1];
	int j = 0, x, mu = bipartite_matching(N + M, color, adj, mate);
	for (i = 0; i < L; i++) {
		u = s[i+1];
		w = t[i+1] + N;
		if (mate[u] != w) {
			ans[i+1] = 1;
			continue;
		}
		for (p = adj[u]; p != NULL; p = p->next) if (mate[p->v] == 0) break;
		if (p != NULL) {
			ans[i+1] = 1;
			continue;
		}
		for (p = adj[w]; p != NULL; p = p->next) if (mate[p->v] == 0) break;
		if (p != NULL) {
			ans[i+1] = 1;
			continue;
		}
		
		for (x = 1; x <= N + M; x++) tmp_mate[x] = mate[x];
		tmp_mate[u] = 0;
		tmp_mate[w] = 0;
		if (adj[u]->v == w) adj[u] = adj[u]->next;
		else {
		    for (p = adj[u]; p->next->v != w; p = p->next);
		    p->next = p->next->next;
		}
		if (adj[w]->v == u) adj[w] = adj[w]->next;
		else {
		    for (p = adj[w]; p->next->v != u; p = p->next);
		    p->next = p->next->next;
		}
		if (bipartite_matching_augmentation_naive(N + M, color, adj, tmp_mate) == 0) ans[i+1] = 0;
		else ans[i+1] = 1;
		e[i*2].next = adj[u];
		adj[u] = &(e[i*2]);
		e[i*2+1].next = adj[w];
		adj[w] = &(e[i*2+1]);
	}
}



int main()
{
	char ans[L_MAX + 1];
	int i, N, M, L, s[L_MAX + 1], t[L_MAX + 1];
	scanf("%d %d %d", &N, &M, &L);
	for (i = 1; i <= L; i++) scanf("%d %d", &(s[i]), &(t[i]));
	rel_naive1(N, M, L, s, t, ans);
	for (i = 1; i <= L; i++) {
		if (ans[i] == 0) printf("No\n");
		else printf("Yes\n");
	}
	fflush(stdout);
	return 0;
}