Codeforces Round #250 (Div. 2)
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Codeforces Round #250 (Div. 2)
题目链接
A:水题,暴力判断有没有3个两倍长或两倍短的字符串,注意如果有多个答案也是属于C的情况
B:先打出lowbit的表,然后从大到小去组合即可
C:贪心,权值大的点优先拿掉
D:并查集+贪心,先把边都按权值从大到小排序,然后加边,该边可以被用到的次数为左边集合个数乘上右边集合个数,最后答案在除以C2n即可
代码:
A:
#include <stdio.h>#include <string.h>char str[4][105];int main() { int i, j, flag = 0; char ans = 'C'; for (i = 0; i < 4; i++) scanf("%s", str[i]); for (i = 0; i < 4; i++) { int s = 0, l = 0; for (j = 0; j < 4; j++) { if (i == j) continue; int a = strlen(str[i]) - 2; int b = strlen(str[j]) - 2; if (a * 2 <= b) s++; if (a >= b * 2) l++; } if (s == 3 || l == 3) { ans = i + 'A'; flag++; } } if (flag != 1) ans = 'C'; printf("%c\n", ans); return 0;}
B:
#include <stdio.h>#include <string.h>#include <algorithm>using namespace std;const int N = 100001;int sum, limit, ans[N], an = 0;int i, j;struct Low { int lowbit; int num;} l[N];bool cmp(Low a, Low b) { return a.lowbit > b.lowbit;}int main() { scanf("%d%d", &sum, &limit); for (i = 1; i < N; i++) { l[i].num = i; l[i].lowbit = (i&(-i)); } sort(l + 1, l + N, cmp); for (i = 1; i < N; i++) { if (l[i].num <= limit) { if (sum >= l[i].lowbit) { ans[an++] = l[i].num; sum -= l[i].lowbit; } } if (sum == 0) break; } if (sum != 0) printf("-1\n"); else { printf("%d\n", an); for (int i = 0; i < an - 1; i++) printf("%d ", ans[i]); printf("%d\n", ans[an - 1]); } return 0;}
C:
#include <stdio.h>#include <string.h>#include <vector>#include <algorithm>#define max(a,b) ((a)>(b)?(a):(b))using namespace std;const int N = 1005;int n, m, vis[N], val[N];vector<int> g[N];struct Node { int value; int id;} node[N];bool cmp(Node a, Node b) { return a.value > b.value;}int main() { int i, j; scanf("%d%d", &n, &m); for (i = 1; i <= n; i++) { scanf("%d", &node[i].value); node[i].id = i; val[i] = node[i].value; } int u, v; while (m--) { scanf("%d%d", &u, &v); g[u].push_back(v); g[v].push_back(u); } int ans = 0; sort(node + 1, node + 1 + n, cmp); for (i = 1; i <= n; i++) { int u = node[i].id; vis[u] = 1; for (j = 0; j < g[u].size(); j++) { int v = g[u][j]; if (vis[v]) continue; ans += val[v]; } } printf("%d\n", ans); return 0;}
D:
#include <stdio.h>#include <string.h>#include <algorithm>using namespace std;const int N = 100005;int n, m, node[N], parent[N], sum[N];struct Edge { int u, v, w; Edge(int u = 0, int v = 0, int w = 0) { this->u = u; this->v = v; this->w = w; }} e[N];bool cmp(Edge a, Edge b) { return a.w > b.w;}int find(int x) { if (x == parent[x]) return x; return parent[x] = find(parent[x]);}int main() { scanf("%d%d", &n, &m); for (int i = 1; i <= n; i++) { parent[i] = i; sum[i] = 1; scanf("%d", &node[i]); } int u, v; for (int i = 0; i < m; i++) { scanf("%d%d", &u, &v); e[i] = Edge(u, v, min(node[u], node[v])); } sort(e, e + m, cmp); double ans = 0; for (int i = 0; i < m; i++) { int pa = find(e[i].u); int pb = find(e[i].v); if (pa != pb) { ans += (double)e[i].w * sum[pa] * sum[pb]; parent[pb] = pa; sum[pa] += sum[pb]; } } printf("%.6lf\n", ans * 2 / (n * 1.0 * (n - 1))); return 0;}
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