• Codeforces Round #592 (Div. 2)


    D. Paint the Tree

    题意:
    给出一棵树,有三种颜色,要求任意链上的三点的颜色是不一样的,每个点图3种颜色都有自己的花费值,问最小的花费
    Solution:
    显然一个点度超过2,那么这3个点颜色都不同,无解
    所以度都为1,2。树退化成链。
    确定了第1,2个,第3个点也唯一确定了(不和1,2的一样),那第4个也出来了
    所以两个点就能确定所有点。枚举前两个点颜色就行

    /**/
    #include <cstdio>
    #include <cstring>
    #include <cmath>
    #include <cctype>
    #include <iostream>
    #include <algorithm>
    #include <map>
    #include <set>
    #include <vector>
    #include <string>
    #include <stack>
    #include <queue>
    
    typedef long long LL;
    typedef unsigned long long ULL;
    using namespace std;
    
    bool Sqrt(LL n) { return (LL)sqrt(n) * sqrt(n) == n; }
    const double PI = acos(-1.0), ESP = 1e-10;
    const LL INF = 99999999999999;
    const int inf = 999999999, N = 1e5 + 5;
    int n, u, v, rt, a[] = {1, 2, 3}, ans[N], cur[N], c[4][N], deg[N];
    LL res = 1e18, cost;
    vector<int> G[N];
    
    void dfs(int u, int h, int p = 0)
    {
    	cost += c[a[h]][u];
    	cur[u] = h;
    	for(auto v : G[u]) if(v != p)
    		dfs(v, (h + 1) % 3, u);
    }
    
    void solve()
    {
    	cost = 0;
    	dfs(rt, 0);
    	if(cost < res) {
    		res = cost;
    		for(int i = 1; i <= n; i++) ans[i] = a[cur[i]];
    	}
    }
    
    int main()
    {
    	//freopen("in.txt", "r", stdin);
    	//freopen("out.txt", "w", stdout);
    	scanf("%d", &n);
    	for(int i = 1; i <= 3; i++) for(int j = 1; j <= n; j++) scanf("%d", &c[i][j]);
    	for(int i = 1; i < n; i++) {
    		scanf("%d%d", &u, &v);
    		G[u].push_back(v); G[v].push_back(u);
    		deg[v]++; deg[u]++;
    	}
    	rt = -1;
    	for(int i = 1; i <= n; i++) {
    		if(deg[i] > 2) { puts("-1"); exit(0);}
    		if(deg[i] == 1 && rt == -1) rt=  i;
    	}
    	do {
    		solve();
    	}while(next_permutation(a, a + 3));
    	printf("%lld
    ", res);
    	for(int i = 1; i < n; i++) printf("%d ", ans[i]);
    	printf("%d
    ", ans[n]);
    
    	return 0;
    }
    /*
        input:
        output:
        modeling:
        methods:
        complexity:
        summary:
    */
    

    C. The Football Season
    简单数学,打的时候没有发现限制条件x < w,T了;后来狂想exgcd,emmmmm

    LL n, p, w, d;
    
    int main()
    {
    	//freopen("in.txt", "r", stdin);
    	//freopen("out.txt", "w", stdout);
    	while(scanf("%lld%lld%lld%lld", &n, &p, &w, &d) == 4) {
    		bool flag = 1;
    		for(LL x = 0, y; x < w; x++) {
    			LL k = p - d * x;
    			if(k % w == 0) { 
    				y = k / w;
    				if(y >= 0 && x + y <= n) { flag = 0; printf("%lld %lld %lld
    ", y, x, n - x - y); break;}
    			}
    		}
    		if(flag) puts("-1");
    	}
    
    	return 0;
    }
    
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  • 原文地址:https://www.cnblogs.com/000what/p/11674057.html
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