题意:给定n(0 < n ≤ 100000)个雪花,每个雪花有6个花瓣(花瓣具有一定的长度),问是否存在两个相同的雪花。若两个雪花以某个花瓣为起点顺时针或逆时针各花瓣长度依次相同,则认为两花瓣相同。
分析:
1、按雪花各花瓣长度之和对MOD取余哈希。对各雪花,算出哈希值,在哈希表中查询是否有与之相同的花瓣。
2、每个花瓣以某个花瓣为起点顺时针或逆时针共有12种表示方法。
3、注意哈希表中只需保存雪花输入时给定的那组长度值即可。
在哈希表中查询时,再算出该组长度值所对应的12种表示,并一一比较,若将这12种表示提前算好,并存入哈希表,则会超时。
#include<cstdio>
#include<cstring>
#include<cstdlib>
#include<cctype>
#include<cmath>
#include<iostream>
#include<sstream>
#include<iterator>
#include<algorithm>
#include<string>
#include<vector>
#include<set>
#include<map>
#include<stack>
#include<deque>
#include<queue>
#include<list>
#define lowbit(x) (x & (-x))
const double eps = 1e-8;
inline int dcmp(double a, double b){
if(fabs(a - b) < eps) return 0;
return a > b ? 1 : -1;
}
typedef long long LL;
typedef unsigned long long ULL;
const int INT_INF = 0x3f3f3f3f;
const int INT_M_INF = 0x7f7f7f7f;
const LL LL_INF = 0x3f3f3f3f3f3f3f3f;
const LL LL_M_INF = 0x7f7f7f7f7f7f7f7f;
const int dr[] = {0, 0, -1, 1, -1, -1, 1, 1};
const int dc[] = {-1, 1, 0, 0, -1, 1, -1, 1};
const int MOD = 20000;
const double pi = acos(-1.0);
const int MAXN = 20000 + 10;
const int MAXT = 1e6 + 10;
using namespace std;
int a[12];
struct Node{
int x[6];
void read(){
for(int i = 0; i < 6; ++i) scanf("%d", &x[i]);
}
};
vector<Node> v[MAXN];
int Hash(Node& tmp){
int ans = 0;
for(int i = 0; i < 6; ++i){
(ans += tmp.x[i] % MOD) %= MOD;
}
return ans;
}
bool judge1(int *q, int *w){
for(int i = 0; i < 6; ++i){
if(q[i] != w[i]) return false;
}
return true;
}
bool judge(Node& q, Node& w){
int tmp[12];
int t[6];
for(int i = 0; i < 6; ++i) tmp[i] = tmp[i + 6] = q.x[i];
for(int i = 0; i < 6; ++i){
for(int j = i; j < 6 + i; ++j){
t[j - i] = tmp[j];
}
if(judge1(t, w.x)) return true;
}
for(int i = 11; i >= 6; --i){
for(int j = i; j >= i - 5; --j){
t[i - j] = tmp[j];
}
if(judge1(t, w.x)) return true;
}
return false;
}
int main(){
int n;
scanf("%d", &n);
bool ok = false;
while(n--){
int sum = 0;
Node tmp;
tmp.read();
if(ok) continue;
int id = Hash(tmp);
int len = v[id].size();
v[id].push_back(tmp);
if(len){
for(int i = 0; i < len; ++i){
if(judge(v[id][i], tmp)){
ok = true;
break;
}
}
}
}
if(ok){
printf("Twin snowflakes found.\n");
}
else{
printf("No two snowflakes are alike.\n");
}
return 0;
}