CF Rd478 Div2 A Aramic script
题意:给定几个字符串,去重后,求种类
思路:直接map乱搞
#include<bits/stdc++.h> using namespace std; string b; bool vis[100005]; map<string, int> M; int main() { int n; scanf("%d", &n); int ans = 0; while(n--) { memset(vis, 0, sizeof vis); string a; cin >> a; b.clear(); int len = a.size(); sort(a.begin(), a.end()); for (int i = 0; i < len; ++i) { if(a[i] == a[i + 1]) vis[i] = true; } for (int i = 0; i < len; ++i) { if(!vis[i]) b += a[i]; } if(!M[b]) { ans++; M[b] = true; } } printf("%d\n", ans); }
CF Rd482 Div2 A Pizza, Pizza, Pizza!!!
题意:一个披萨,要切成n个同样的块,求最小刀数
思路:偶数直接除以2,奇数直接输出
#include<bits/stdc++.h> using namespace std; typedef long long ll; ll N; int main() { scanf("%lld", &N); if(N == 0) printf("0\n"); else if((N + 1) & 1) printf("%lld\n", N + 1); else printf("%lld\n", (N + 1) / 2); return 0; }
CF Rd482 Div2 B Treasure Hunt
题意:三个字符串,给定n轮,每轮必须改变一个字符,问最后重复的单个字符最多的字符串是哪个
思路:每次改变出现次数最多的就好
#include<bits/stdc++.h> using namespace std; const int maxn = 3005; int n; string a, b, c; int num[maxn]; int calc(string a) { memset(num, 0, sizeof num); int now = 0; int len = a.size(); for (int i = 0; i < len; ++i) { num[a[i]]++; } for (int i = 0; i <= 300; ++i) { if(num[i] > now) now = num[i]; } if(now == a.size()) return now - (n == 1); else return min(now + n, len); } int main() { cin >> n; cin >> a; cin >> b; cin >> c; int ans1 = calc(a); int ans2 = calc(b); int ans3 = calc(c); if(ans1 > ans2 && ans1 > ans3) printf("Kuro\n"); else if(ans2 > ans1 && ans2 > ans3) printf("Shiro\n"); else if(ans3 > ans1 && ans3 > ans2) printf("Katie\n"); else printf("Draw"); return 0; }
CF Rd482 Div2 C Kuro and Walking Route
题意:给定一颗树,给定x,y求不依次经过x -- y的路径对数为多少
思路:首先,全部点对数为n * (n - 1),dfs求出每个点的子节点个数,则y的子节点与x上面的节点组成的路径对数需要减去
即为n * (n - 1) - son[y] * (n - son[x])
#include<bits/stdc++.h> using namespace std; const int maxn = 3 * 100005; int head[maxn << 1], cnt = 1; int n, x, y; struct Node{ int v, nxt; } G[maxn << 1]; bool vis[maxn << 1]; int f[maxn << 1], siz[maxn << 1]; typedef long long ll; void insert(int u, int v) { G[cnt] = (Node) {v, head[u]}; head[u] = cnt++; } void dfs(int x, int fa) { f[x] = fa; siz[x] = 1; for (int i = head[x]; i; i = G[i].nxt) { int v = G[i].v; if(v == fa) continue; dfs(v, x); siz[x] += siz[v]; } } int main() { scanf("%d%d%d", &n, &x, &y); for (int i = 1; i <= n - 1; ++i) { int a, b; scanf("%d%d", &a, &b); insert(a, b); insert(b, a); } dfs(x, 0); int z = y; while(f[z] != x) z = f[z]; ll ans = (ll)n * (ll)(n - 1) - (ll)(n - siz[z]) * (ll)siz[y]; printf("%lld\n", ans); return 0; }
CF Rd480 Div2 E The Number Games
题意:给定一棵树,节点i有权值2^i,求删除k个点后,剩下的点需要联通,并且还要使剩下的点的权值和最大
思路:首先有个贪心思想,2^i比sum(2^1 + 2^2 + ......2^(i - 1))还要大,因此想到要保留大的,首先最大的点肯定要保留,
然后以这个点为根,将点号从大到小枚举,依次检查每个点是否满足题意(加入的点不超过n - k)