题目
很简单,给一堆6元组,可以从任意位置开始往任意方向读,问有没有两个相同的6元组
题解
hash表入门题
先把一个六元组的积 + 和取模作为hash值,然后查表即可
期望\(O(n)\)
#include<iostream>
#include<cstdio>
#include<cmath>
#include<cstring>
#include<algorithm>
#define LL long long int
#define Redge(u) for (int k = h[u]; k; k = ed[k].nxt)
#define REP(i,n) for (int i = 1; i <= (n); i++)
using namespace std;
const int maxn = 100010,maxm = 100005,INF = 1000000000,P = 100007;
inline int read(){int out = 0,flag = 1; char c = getchar();while (c < 48 || c > 57){if (c == '-') flag = -1; c = getchar();}while (c >= 48 && c <= 57){out = (out << 3) + (out << 1) + c - 48; c = getchar();}return out * flag;
}
int h[maxn],nxt[maxn],n,tot;
LL A[6],H[maxn][6];
bool cmp(LL A[],LL B[]){for (int pos = 0; pos < 6; pos++){bool flag = true;for (int i = 0; i < 6; i++)if (A[i] != B[(pos + i) % 6]){flag = false; break;}if (flag) return true;flag = true;for (int i = 0; i < 6; i++)if (A[i] != B[(pos - i + 6) % 6]){flag = false; break;}if (flag) return true;}return false;
}
bool ins(){LL s = 0,m = 1,v;for (int i = 0; i < 6; i++)s = (s + A[i]) % P,m = m * A[i] % P;v = (s + m) % P;for (int k = h[v]; k != -1; k = nxt[k])if (cmp(H[k],A)) return true;tot++;for (int i = 0; i < 6; i++) H[tot][i] = A[i];nxt[tot] = h[v]; h[v] = tot;return false;
}
int main(){memset(h,-1,sizeof(h));n = read();for (int i = 1; i <= n; i++){for (int j = 0; j < 6; j++)A[j] = read();if (ins()) {puts("Twin snowflakes found."); return 0;}}puts("No two snowflakes are alike.");return 0;
}