BZOJ 1567 JSOI 2008 Blue Mary的战役地图 二维hash
题目大意:给出两个m*m的地图,问两个地图的最大子正方形矩阵的边长是多大。
思路:先对两个矩阵hash,然后枚举最大长度,从大到小枚举。把第一个矩阵的所有情况插到哈希表中,然后查询第二个矩阵的所有情况。
记住哈希表中的那些数组一定要开大点。。
CODE:
#include <cstdio> #include <cstring> #include <iostream> #include <algorithm> #define MAX 60 #define RANGE 100100 using namespace std; const unsigned long long BASE1 = 1333; const unsigned long long BASE2 = 23333; const int MO = 999997; int m; unsigned long long hash[MAX][MAX],_hash[MAX][MAX]; unsigned long long pow1[MAX],pow2[MAX]; struct HashSet{ int head[MO],total; int next[RANGE]; unsigned long long hash[RANGE]; bool Check(unsigned long long h) { int x = h % MO; for(int i = head[x]; i; i = next[i]) if(hash[i] == h) return true; return false; } void Insert(unsigned long long h) { int x = h % MO; next[++total] = head[x]; hash[total] = h; head[x] = total; } }set; int main() { cin >> m; for(int i = 1; i <= m; ++i) for(int j = 1; j <= m; ++j) scanf("%lld",&hash[i][j]); for(int i = 1; i <= m; ++i) for(int j = 1; j <= m; ++j) scanf("%lld",&_hash[i][j]); for(int i = 1; i <= m; ++i) for(int j = 1; j <= m; ++j) { hash[i][j] += hash[i - 1][j] * BASE1; _hash[i][j] += _hash[i - 1][j] * BASE1; } for(int i = 1; i <= m; ++i) for(int j = 1; j <= m; ++j) { hash[i][j] += hash[i][j - 1] * BASE2; _hash[i][j] += _hash[i][j - 1] * BASE2; } pow1[0] = pow2[0] = 1; for(int i = 1; i <= m; ++i) pow1[i] = pow1[i - 1] * BASE1,pow2[i] = pow2[i - 1] * BASE2; int ans; for(ans = m; ans; --ans) { for(int i = ans; i <= m; ++i) for(int j = ans; j <= m; ++j) { unsigned long long h = hash[i][j]; h -= hash[i - ans][j] * pow1[ans]; h -= hash[i][j - ans] * pow2[ans]; h += hash[i - ans][j - ans] * pow1[ans] * pow2[ans]; set.Insert(h); } for(int i = ans; i <= m; ++i) for(int j = ans; j <= m; ++j) { unsigned long long h = _hash[i][j]; h -= _hash[i - ans][j] * pow1[ans]; h -= _hash[i][j - ans] * pow2[ans]; h += _hash[i - ans][j - ans] * pow1[ans] * pow2[ans]; if(set.Check(h)) { cout << ans << endl; return 0; } } } cout << 0 << endl; return 0; }
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