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  • HDU 5917 Instability ramsey定理

    http://acm.hdu.edu.cn/showproblem.php?pid=5917

    即世界上任意6个人中,总有3个人相互认识,或互相皆不认识。

    所以子集 >= 6的一定是合法的。

    然后总的子集数目是2^n,减去不合法的,暴力枚举即可。

    选了1个肯定不合法,2个也是,3个的话C(n, 3)枚举判断,C(n, 4), C(n, 5)

    #include <bits/stdc++.h>
    #define IOS ios::sync_with_stdio(false)
    using namespace std;
    #define inf (0x3f3f3f3f)
    typedef long long int LL;
    const int maxn = 50 + 20;
    int e[maxn][maxn];
    const LL MOD = 1e9 + 7;
    void add(LL &x, LL y) {
        x = (x + MOD + y) % MOD;
    }
    bool ok(int i, int j, int k) {
        return ((e[i][j] && e[j][k] && e[k][i]) || (!e[i][j] && !e[j][k] && !e[k][i]));
    }
    LL po[maxn];
    int f;
    void work() {
        memset(e, false, sizeof e);
        int n, m;
        scanf("%d%d", &n, &m);
        for (int i = 1; i <= m; ++i) {
            int u, v;
            scanf("%d%d", &u, &v);
            e[u][v] = e[v][u] = 1;
        }
        LL ans = po[n];
        add(ans, -(n + 1));
        add(ans, -(n * (n - 1) / 2));
        LL t = 0;
        for (int i = 1; i <= n; ++i) {
            for (int j = i + 1; j <= n; ++j) {
                for (int k = j + 1; k <= n; ++k) {
                    if (!ok(i, j, k)) t++;
                }
            }
        }
        for (int i = 1; i <= n; ++i) {
            for (int j = i + 1; j <= n; ++j) {
                for (int k = j + 1; k <= n; ++k) {
                    for (int h = k + 1; h <= n; ++h) {
                        if (!ok(i, j, k) && !ok(i, j, h) && !ok(i, k, h) && !ok(j, k, h)) t++;
                    }
                }
            }
        }
        for (int i = 1; i <= n; ++i) {
            for (int j = i + 1; j <= n; ++j) {
                for (int k = j + 1; k <= n; ++k) {
                    for (int h = k + 1; h <= n; ++h) {
                        for (int ha = h + 1; ha <= n; ++ha) {
                            if (!ok(i, j, k) && !ok(i, j, h) && !ok(i, k, h) && !ok(j, k, h) && !ok(i, j, ha) &&
                              !ok(i, k, ha) && !ok(i, h, ha) && !ok(j, k, ha) && !ok(j, h, ha) &&
                              !ok(k, h, ha)) t++;
                        }
                    }
                }
            }
        }
        t %= MOD;
        add(ans, -t);
        printf("Case #%d: %lld
    ", ++f, ans);
    }
    
    int main() {
    #ifdef local
        freopen("data.txt", "r", stdin);
    //    freopen("data.txt", "w", stdout);
    #endif
        po[0] = 1;
        for (int i = 1; i <= maxn - 2; ++i) {
            po[i] = 2 * po[i - 1] % MOD;
        }
        int t;
        scanf("%d", &t);
        while (t--) work();
        return 0;
    }
    View Code
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  • 原文地址:https://www.cnblogs.com/liuweimingcprogram/p/7413920.html
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