LA 6540 Fibonacci Tree
以前做过的题···重新做一遍之后怎么做怎么wa···后来GG了···第二天看不知道为啥A了···难道我失忆了?
题意:无向图,边有黑色和白色两种颜色,求是否存在一个生成树中白边的个数是斐波那契数。
解法:并查集。对边按颜色进行排序,白边在前用并查集计算生成树中白边个数,再倒着算一遍,得到生成树的白边的最大值和最小值,判断其中有没有斐波那契数,注意要判断是否能构成生成树。
代码:
#include<stdio.h>
#include<iostream>
#include<algorithm>
#include<string>
#include<string.h>
#include<math.h>
#include<map>
#include<queue>
#include<set>
#include<stack>
#include<vector>
#define LL long long
using namespace std;
int father[100005], f[100010] = {0};
struct node
{
int u, v, c;
} edge[100005];
bool cmp(node a, node b)
{
return a.c > b.c;
}
int FIND(int a)
{
if(father[a] != a)
father[a] = FIND(father[a]);
return father[a];
}
int main()
{
f[1] = 1;
int f1 = 1, f2 = 1, f3 = 2;
while(f3 < 100010)
{
f[f3] = 1;
f1 = f2;
f2 = f3;
f3 = f1 + f2;
}//斐波那契数打表
int T;
while(~scanf("%d", &T))
{
int cse = 1;
while(T--)
{
int n, m, ans = 1;
scanf("%d%d", &n, &m);
for(int i = 0; i < m; i++)
scanf("%d%d%d", &edge[i].u, &edge[i].v, &edge[i].c);
sort(edge, edge + m, cmp);
int l = 0, r = 0;
for(int i = 0; i <= n; i++)
father[i] = i;
for(int i = 0; i < m; i++)
{
int a, b;
a = FIND(edge[i].u);
b = FIND(edge[i].v);
if(a != b)
{
r += edge[i].c;
father[a] = b;
}
}//计算白边最大值r
int flag = FIND(1);
for(int i = 2; i <= n; i++)
if(FIND(i) != flag)
{
ans = 0;
break;
}//判断是否有生成树
if(ans)
{
ans = 0;
for(int i = 0; i <= n; i++)
father[i] = i;
for(int i = m-1; i >= 0; i--)
{
int a, b;
a = FIND(edge[i].u);
b = FIND(edge[i].v);
if(a != b)
{
l += edge[i].c;
father[a] = b;
}
}//计算白边最小值l
for(int i = l; i <= r; i++)
if(f[i])
{
ans = 1;
break;
}
}
if(ans)
cout << "Case #" << cse++ << ": Yes" << endl;
else
cout << "Case #" << cse++ << ": No" << endl;
}
}
return 0;
}
最近想改变一下代码风格···结果连字都快不会打了orz
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