結果
| 問題 | No.1775 Love Triangle 2 |
| コンテスト | |
| ユーザー |
|
| 提出日時 | 2021-12-25 23:02:48 |
| 言語 | C++14 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
AC
|
| 実行時間 | 116 ms / 8,000 ms |
| コード長 | 6,073 bytes |
| コンパイル時間 | 1,097 ms |
| コンパイル使用メモリ | 109,864 KB |
| 実行使用メモリ | 6,944 KB |
| 最終ジャッジ日時 | 2024-09-22 04:46:37 |
| 合計ジャッジ時間 | 6,880 ms |
|
ジャッジサーバーID (参考情報) |
judge1 / judge4 |
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| ファイルパターン | 結果 |
|---|---|
| other | AC * 90 |
ソースコード
#include <cassert>
#include <cmath>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <algorithm>
#include <bitset>
#include <complex>
#include <deque>
#include <functional>
#include <iostream>
#include <map>
#include <numeric>
#include <queue>
#include <set>
#include <sstream>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
using namespace std;
using Int = long long;
template <class T1, class T2> ostream &operator<<(ostream &os, const pair<T1, T2> &a) { return os << "(" << a.first << ", " << a.second << ")"; };
template <class T> void pv(T a, T b) { for (T i = a; i != b; ++i) cerr << *i << " "; cerr << endl; }
template <class T> bool chmin(T &t, const T &f) { if (t > f) { t = f; return true; } return false; }
template <class T> bool chmax(T &t, const T &f) { if (t < f) { t = f; return true; } return false; }
////////////////////////////////////////////////////////////////////////////////
namespace nim {
using u16 = unsigned short;
using u32 = unsigned;
using u64 = unsigned long long;
template <int L> inline u64 mulSlow(u64 a, u64 b) {
static constexpr int l = L >> 1;
const u64 a0 = a & ((1ULL << l) - 1), a1 = a >> l;
const u64 b0 = b & ((1ULL << l) - 1), b1 = b >> l;
const u64 a0b0 = mulSlow<l>(a0, b0);
return (a0b0 ^ mulSlow<l>(1ULL << (l - 1), mulSlow<l>(a1, b1)))
| (a0b0 ^ mulSlow<l>(a0 ^ a1, b0 ^ b1)) << l;
}
template <> inline u64 mulSlow<1>(u64 a, u64 b) {
return a & b;
}
constexpr u16 G16 = 10279U;
u16 buf[4 * ((1 << 16) - 1) + 26];
u16 *exp = buf + (2 * ((1 << 16) - 1) + 18), *exp3 = exp + 3, *exp6 = exp + 6;
int log[1 << 16];
struct Preparator {
Preparator() {
exp[0] = 1;
for (int i = 1; i < (1 << 16) - 1; ++i) exp[i] = mulSlow<16>(exp[i - 1], G16);
log[0] = -(((1 << 16) - 1) + 9);
for (int i = 0; i < (1 << 16) - 1; ++i) log[exp[i]] = i;
memcpy(exp + ((1 << 16) - 1), exp, ((1 << 16) - 1) * sizeof(u16));
memcpy(exp + 2 * ((1 << 16) - 1), exp, 8 * sizeof(u16));
}
} preparator;
inline u16 mul(u16 a, u16 b) {
return exp[log[a] + log[b]];
}
inline u32 mul(u32 a, u32 b) {
const u16 a0 = a, a1 = a >> 16;
const u16 b0 = b, b1 = b >> 16;
const u16 a01 = a0 ^ a1;
const u16 b01 = b0 ^ b1;
const u16 a0b0 = mul(a0, b0);
return (a0b0 ^ exp3[log[a1] + log[b1]]) | (u32)(a0b0 ^ mul(a01, b01)) << 16;
}
inline u64 mul(u64 a, u64 b) {
u64 aa = a >> 16, aaa = a >> 32;
u64 bb = b >> 16, bbb = b >> 32;
const u16 a0 = a, a1 = aa, a2 = aaa, a3 = a >> 48;
const u16 b0 = b, b1 = bb, b2 = bbb, b3 = b >> 48;
aa ^= a; aaa ^= a;
bb ^= b; bbb ^= b;
const u16 a01 = aa, a23 = aa >> 32, a02 = aaa, a13 = aaa >> 16;
const u16 b01 = bb, b23 = bb >> 32, b02 = bbb, b13 = bbb >> 16;
const u16 a0123 = a01 ^ a23;
const u16 b0123 = b01 ^ b23;
const u16 a0b0 = mul(a0, b0), a23b23 = mul(a23, b23), a02b02 = mul(a02, b02);
const u32 c = (a0b0 ^ exp3[log[a1] + log[b1]]) | (u32)(a0b0 ^ mul(a01, b01)) << 16;
return (c ^ (exp6[log[mul(a2, b2) ^ a23b23]] | (u32)exp3[log[exp3[log[a3] + log[b3]] ^ a23b23]] << 16))
| (u64)(c ^ ((a02b02 ^ exp3[log[a13] + log[b13]]) | (u32)(a02b02 ^ mul(a0123, b0123)) << 16)) << 32;
}
} // namespace nim
////////////////////////////////////////////////////////////////////////////////
unsigned xrand() {
static unsigned x = 314159265, y = 358979323, z = 846264338, w = 327950288;
unsigned t = x ^ x << 11; x = y; y = z; z = w; return w = w ^ w >> 19 ^ t ^ t >> 8;
}
using namespace nim;
constexpr int MAX_N = 110;
int N, M;
int X, Y, Z;
vector<int> A, B;
bool adj[MAX_N][MAX_N];
u64 C[MAX_N][MAX_N];
u64 dp[MAX_N][4][MAX_N];
u64 dpY[MAX_N][4][MAX_N];
u64 dpZ[MAX_N][4][MAX_N];
int main() {
for (; ~scanf("%d%d", &N, &M); ) {
scanf("%d%d%d", &X, &Y, &Z);
--X;
--Y;
--Z;
A.resize(M);
B.resize(M);
for (int i = 0; i < M; ++i) {
scanf("%d%d", &A[i], &B[i]);
--A[i];
--B[i];
}
memset(adj, 0, sizeof(adj));
for (int u = 0; u < N; ++u) for (int v = 0; v < N; ++v) {
adj[u][v] = (u != v);
}
for (int i = 0; i < M; ++i) {
adj[A[i]][B[i]] = adj[B[i]][A[i]] = false;
}
for (int u = 0; u < N; ++u) {
adj[N][u] = adj[X][u];
adj[u][N] = adj[u][X];
}
int ans = N + 1;
for (int iter = 0; iter < 1; ++iter) {
memset(C, 0, sizeof(C));
for (int u = 0; u <= N; ++u) for (int v = u + 1; v <= N; ++v) {
u64 c = xrand();
c <<= 32;
c |= xrand();
C[u][v] = C[v][u] = c;
}
memset(dp, 0, sizeof(dp));
memset(dpY, 0, sizeof(dpY));
memset(dpZ, 0, sizeof(dpZ));
dp[0][0][X] = 1;
for (int l = 0; l < N; ++l) {
for (int p = 0; p < 4; ++p) {
for (int u = 0; u <= N; ++u) {
for (int v = 0; v <= N; ++v) if (adj[u][v]) {
const u64 prod = mul(dp[l][p][u], C[u][v]);
if (v == Y) {
if (!(p & 1)) {
dpY[l + 1][p | 1][u] ^= prod;
}
} else if (v == Z) {
if (!(p & 2)) {
dpZ[l + 1][p | 2][u] ^= prod;
}
} else {
dp[l + 1][p][v] ^= prod;
}
}
}
if (p & 1) {
u64 sum = 0;
for (int u = 0; u <= N; ++u) {
sum ^= dpY[l][p][u];
}
for (int u = 0; u <= N; ++u) if (adj[Y][u]) {
dp[l + 1][p][u] ^= mul(sum ^ dpY[l][p][u], C[Y][u]);
}
}
if (p & 2) {
u64 sum = 0;
for (int u = 0; u <= N; ++u) {
sum ^= dpZ[l][p][u];
}
for (int u = 0; u <= N; ++u) if (adj[Z][u]) {
dp[l + 1][p][u] ^= mul(sum ^ dpZ[l][p][u], C[Z][u]);
}
}
}
}
for (int l = 0; l <= N; ++l) {
if (dp[l][3][N]) {
chmin(ans, l);
}
}
}
printf("%d\n", (ans >= N + 1) ? -1 : ans);
}
return 0;
}