#718259 (C) No.1775 Love Triangle 2

提出ソース

結果

問題	No.1775 Love Triangle 2
ユーザー	ygussany
提出日時	2021-11-19 23:53:34
言語	C (gcc 12.3.0)
結果	AC
実行時間	2,316 ms / 8,000 ms
コード長	5,906 bytes
コンパイル時間	590 ms
コンパイル使用メモリ	36,080 KB
実行使用メモリ	18,560 KB
最終ジャッジ日時	2024-07-04 17:19:06
合計ジャッジ時間	10,406 ms
ジャッジサーバーID （参考情報）	judge4 / judge3

このコードへのチャレンジ
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テストケース

テストケース表示

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	2 ms 5,376 KB
testcase_03	AC	1 ms 5,376 KB
testcase_04	AC	2,316 ms 18,304 KB
testcase_05	AC	91 ms 5,888 KB
testcase_06	AC	93 ms 6,016 KB
testcase_07	AC	421 ms 18,176 KB
testcase_08	AC	46 ms 5,632 KB
testcase_09	AC	5 ms 5,760 KB
testcase_10	AC	7 ms 7,296 KB
testcase_11	AC	6 ms 7,424 KB
testcase_12	AC	5 ms 5,760 KB
testcase_13	AC	7 ms 7,424 KB
testcase_14	AC	12 ms 13,824 KB
testcase_15	AC	16 ms 15,872 KB
testcase_16	AC	16 ms 15,488 KB
testcase_17	AC	31 ms 18,048 KB
testcase_18	AC	112 ms 18,304 KB
testcase_19	AC	7 ms 7,936 KB
testcase_20	AC	4 ms 5,376 KB
testcase_21	AC	6 ms 6,784 KB
testcase_22	AC	5 ms 5,376 KB
testcase_23	AC	6 ms 7,680 KB
testcase_24	AC	6 ms 7,296 KB
testcase_25	AC	5 ms 5,376 KB
testcase_26	AC	6 ms 7,552 KB
testcase_27	AC	6 ms 7,296 KB
testcase_28	AC	7 ms 8,448 KB
testcase_29	AC	198 ms 18,560 KB
testcase_30	AC	153 ms 18,176 KB
testcase_31	AC	230 ms 18,176 KB
testcase_32	AC	220 ms 18,048 KB
testcase_33	AC	164 ms 18,176 KB
testcase_34	AC	167 ms 18,176 KB
testcase_35	AC	115 ms 18,176 KB
testcase_36	AC	64 ms 18,048 KB
testcase_37	AC	33 ms 14,336 KB
testcase_38	AC	5 ms 5,632 KB
testcase_39	AC	117 ms 18,304 KB
testcase_40	AC	193 ms 18,176 KB
testcase_41	AC	199 ms 18,048 KB
testcase_42	AC	149 ms 18,048 KB
testcase_43	AC	100 ms 18,176 KB
testcase_44	AC	73 ms 18,176 KB
testcase_45	AC	118 ms 18,176 KB
testcase_46	AC	42 ms 18,048 KB
testcase_47	AC	16 ms 15,488 KB
testcase_48	AC	15 ms 13,312 KB
testcase_49	AC	68 ms 18,304 KB
testcase_50	AC	145 ms 18,304 KB
testcase_51	AC	217 ms 18,048 KB
testcase_52	AC	192 ms 18,048 KB
testcase_53	AC	146 ms 18,176 KB
testcase_54	AC	153 ms 18,176 KB
testcase_55	AC	103 ms 18,176 KB
testcase_56	AC	67 ms 18,048 KB
testcase_57	AC	33 ms 14,336 KB
testcase_58	AC	6 ms 5,760 KB
testcase_59	AC	120 ms 18,304 KB
testcase_60	AC	156 ms 18,176 KB
testcase_61	AC	155 ms 18,048 KB
testcase_62	AC	71 ms 18,048 KB
testcase_63	AC	56 ms 18,176 KB
testcase_64	AC	48 ms 18,048 KB
testcase_65	AC	20 ms 18,176 KB
testcase_66	AC	20 ms 15,744 KB
testcase_67	AC	14 ms 13,184 KB
testcase_68	AC	6 ms 7,424 KB
testcase_69	AC	5 ms 5,632 KB
testcase_70	AC	6 ms 5,760 KB
testcase_71	AC	6 ms 5,632 KB
testcase_72	AC	6 ms 5,760 KB
testcase_73	AC	6 ms 5,760 KB
testcase_74	AC	6 ms 5,760 KB
testcase_75	AC	6 ms 5,760 KB
testcase_76	AC	6 ms 5,760 KB
testcase_77	AC	6 ms 5,760 KB
testcase_78	AC	6 ms 5,632 KB
testcase_79	AC	5 ms 5,760 KB
testcase_80	AC	5 ms 5,760 KB
testcase_81	AC	5 ms 5,376 KB
testcase_82	AC	6 ms 5,760 KB
testcase_83	AC	6 ms 5,376 KB
testcase_84	AC	6 ms 5,760 KB
testcase_85	AC	7 ms 5,632 KB
testcase_86	AC	6 ms 5,632 KB
testcase_87	AC	6 ms 5,760 KB
testcase_88	AC	7 ms 5,760 KB
testcase_89	AC	5 ms 5,376 KB

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ソースコード

raw source code

#include <stdio.h>

#define N_MAX 100
#define M_MAX 5000



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

void chmin(int* a, int b)
{
	if (*a > b) *a = b;
}



#define MT_N 624
#define MT_M 397
#define MT_MATRIX_A 0x9908b0dfUL
#define MT_UPPER_MASK 0x80000000UL
#define MT_LOWER_MASK 0x7fffffffUL

static unsigned int mt[MT_N];
static int mti = MT_N + 1;

void init_genrand(unsigned int s)
{
    mt[0] = s & 0xffffffffUL;
    for (mti = 1; mti < MT_N; mti++) {
        mt[mti] = (1812433253UL * (mt[mti-1] ^ (mt[mti-1] >> 30)) + mti); 
        mt[mti] &= 0xffffffffUL;
    }
}

unsigned int genrand()
{
    unsigned int y;
    static unsigned int mag01[2] = {0x0UL, MT_MATRIX_A};

    if (mti >= MT_N) {
        int kk;
        if (mti == MT_N + 1) init_genrand(5489UL);
		
        for (kk = 0; kk < MT_N - MT_M; kk++) {
            y = (mt[kk] & MT_UPPER_MASK) | (mt[kk+1] & MT_LOWER_MASK);
            mt[kk] = mt[kk+MT_M] ^ (y >> 1) ^ mag01[y&0x1UL];
        }
        for (; kk < MT_N - 1; kk++) {
            y = (mt[kk] & MT_UPPER_MASK) | (mt[kk+1] & MT_LOWER_MASK);
            mt[kk] = mt[kk+(MT_M-MT_N)] ^ (y >> 1) ^ mag01[y&0x1UL];
        }
        y = (mt[MT_N-1] & MT_UPPER_MASK) | (mt[0] & MT_LOWER_MASK);
        mt[MT_N-1] = mt[MT_M-1] ^ (y >> 1) ^ mag01[y&0x1UL];

        mti = 0;
    }
  
    y = mt[mti++];

    y ^= (y >> 11);
    y ^= (y << 7) & 0x9d2c5680UL;
    y ^= (y << 15) & 0xefc60000UL;
    y ^= (y >> 18);

    return y;
}



#define POWX 3 // 3 -> 2^8, 4 -> 2^16, 5 -> 2^32
const unsigned int powd[5] = {2, 4, 16, 256, 65536}, powe[5] = {1, 2, 4, 8, 16};

// Multiplication on a finite field of size 2^32 with XOR addition
unsigned int nim_product(unsigned int A, unsigned int B)
{
	if (A > B) return nim_product(B, A);
	else if (A <= 1) return A * B;
	
	static unsigned int memo[256][256] = {};
	if (B < 256 && memo[A][B] != 0) return memo[A][B];
	
	int i;
	for (i = 0; i < POWX; i++) {
		if (B == powd[i]) {
			if (A == powd[i]) return (B >> 1) * 3;
			else return A * B;
		}
	}

	unsigned int a[2], b[2], ans[2][2];
	for (i = POWX - 1; i >= 0; i--) if (B > powd[i]) break;
	a[1] = A & (powd[i] - 1);
	a[0] = (A ^ a[1]) >> powe[i];
	b[1] = B & (powd[i] - 1);
	b[0] = (B ^ b[1]) >> powe[i];
	ans[0][0] = nim_product(a[0], b[0]);
	ans[0][1] = nim_product(a[0], b[1]);
	ans[1][0] = nim_product(a[1], b[0]);
	ans[1][1] = nim_product(a[1], b[1]);
	if (B < 256) {
		memo[A][B] = (ans[0][0] ^ ans[0][1] ^ ans[1][0]) * powd[i] ^ nim_product(ans[0][0], powd[i] >> 1) ^ ans[1][1];
		return memo[A][B];
	} else return (ans[0][0] ^ ans[0][1] ^ ans[1][0]) * powd[i] ^ nim_product(ans[0][0], powd[i] >> 1) ^ ans[1][1];
}



// Solution example (O(N^4) time by skipping terminals)
int solve4_3(int N, int M, int X, int Y, int Z, int A[], int B[])
{
	static int i, u, w, adj_mat[N_MAX + 1][N_MAX + 1];
	static edge *adj[N_MAX + 1], e[M_MAX * 2], *p, *pp;
	for (u = 1; u <= N; u++) for (w = u + 1; w <= N; w++) adj_mat[u][w] = 0;
	for (i = 1; i <= M; i++) {
		u = A[i];
		w = B[i];
		adj_mat[u][w] = 1;
	}
	for (u = 1; u <= N; u++) adj[u] = NULL;
	for (u = 1, i = 0; u <= N; u++) {
		for (w = u + 1; w <= N; w++) {
			if (adj_mat[u][w] != 0) continue;
			e[i].v = w;
			e[i].label = genrand() % (powd[POWX] - 1) + 1;
			e[i].next = adj[u];
			adj[u] = &(e[i++]);
			e[i].v = u;
			e[i].label = e[i-1].label;
			e[i].next = adj[w];
			adj[w] = &(e[i++]);
		}
	}
	
	static edge *d_adj[3][N_MAX + 1], f[N_MAX * N_MAX * 2];
	for (u = 1; u <= N; u++) {
		d_adj[1][u] = NULL;
		d_adj[2][u] = NULL;
	}
	for (p = adj[Y], i = 0; p != NULL; p = p->next) {
		u = p->v;
		for (pp = p->next; pp != NULL; pp = pp->next) {
			w = pp->v;
			f[i].v = w;
			f[i].label = nim_product(p->label, pp->label);
			f[i].next = d_adj[1][u];
			d_adj[1][u] = &(f[i++]);
			f[i].v = u;
			f[i].label = f[i-1].label;
			f[i].next = d_adj[1][w];
			d_adj[1][w] = &(f[i++]);
		}
	}
	for (p = adj[Z]; p != NULL; p = p->next) {
		u = p->v;
		for (pp = p->next; pp != NULL; pp = pp->next) {
			w = pp->v;
			f[i].v = w;
			f[i].label = nim_product(p->label, pp->label);
			f[i].next = d_adj[2][u];
			d_adj[2][u] = &(f[i++]);
			f[i].v = u;
			f[i].label = f[i-1].label;
			f[i].next = d_adj[2][w];
			d_adj[2][w] = &(f[i++]);
		}
	}
	
	static int k, kk, l, x, y, z;
	static unsigned int dp[N_MAX + 1][4][N_MAX + 1][N_MAX + 1], tmp;
	for (l = 1; l <= N; l++) {
		for (k = 0; k < 4; k++) {
			for (p = adj[X]; p != NULL; p = p->next) {
				for (u = 1; u <= N; u++) dp[l][k][p->v][u] = 0;
			}
		}
	}
	for (p = adj[X]; p != NULL; p = p->next) {
		u = p->v;
		dp[1][0][u][u] = p->label;
	}
	for (l = 1; l <= N; l++) {
		for (p = adj[X]; p != NULL; p = p->next) {
			for (pp = p->next; pp != NULL; pp = pp->next) if (dp[l][3][p->v][pp->v] != 0) return l + 1;
		}
		if (l == N) return -1;
		
		for (k = 0; k < 4; k++) {
			for (p = adj[X]; p != NULL; p = p->next) {
				w = p->v;
				for (y = 1; y <= N; y++) {
					if (y == X || y == Y || y == Z) continue;
					tmp = dp[l][k][w][y];
					for (pp = adj[y]; pp != NULL; pp = pp->next) {
						z = pp->v;
						dp[l+1][k][w][z] ^= nim_product(tmp, pp->label);
					}
					if (l == N - 1) continue;
					if ((k & 1) == 0) {
						for (pp = d_adj[1][y]; pp != NULL; pp = pp->next) {
							z = pp->v;
							dp[l+2][k|1][w][z] ^= nim_product(tmp, pp->label);
						}
					}
					if ((k & 2) == 0) {
						for (pp = d_adj[2][y]; pp != NULL; pp = pp->next) {
							z = pp->v;
							dp[l+2][k|2][w][z] ^= nim_product(tmp, pp->label);
						}
					}
				}
			}
		}
	}
}



int main()
{
	int i, N, M, X, Y, Z, A[M_MAX + 1], B[M_MAX + 1], ans[2];
	scanf("%d %d", &N, &M);
	scanf("%d %d %d", &X, &Y, &Z);
	for (i = 1; i <= M; i++) scanf("%d %d", &(A[i]), &(B[i]));
	ans[0] = solve4_3(N, M, X, Y, Z, A, B);
	// ans[1] = solve4_3(N, M, X, Y, Z, A, B);
	// chmin(&(ans[0]), ans[1]);
	printf("%d\n", (ans[0] > N)? -1: ans[0]);
	fflush(stdout);
	return 0;
}

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結果

テストケース

ソースコード