序列

20170812080316_85064.png

输入

5 3
2 4 2 3 4

输出

39

20170812080326_67661.png

题解

从比他小的中找
组合数一搞就行

#include <cstdio>
#include <cstring>
#include <algorithm>
using namespace std;
#define LL long long
const LL P = 1e9 + 7;
LL F[100005];
void Init()
{
    F[0] = 1;
    for (int i = 1; i <= 100000; i++)
        F[i] = i * F[i - 1] % P;
}
LL pow_mod(LL a, int b)
{
    LL ans = 1;
    while (b)
    {
        if (b & 1)
            ans = ans * a % P;
        b >>= 1;
        a = a * a % P;
    }
    return ans;
}
LL C(int n, int m)
{
    if (m > n || m < 0)
        return 0;
    return F[n] * pow_mod(F[m] * F[n - m] % P, P - 2) % P;
}
LL a[100005], Has[100005];
int Sum[100005], n;
 
#define lowbit(_) ((_) & (-_))
 
void add(int x, int c)
{
    for (int i = x; i <= n; i += lowbit(i))
        Sum[i] += c;
}
int Query(int x)
{
    int ans = 0;
    for (int i = x; i > 0; i -= lowbit(i))
        ans += Sum[i];
    return ans;
}
int fron[100005], nxt[100005];
int main()
{
    Init();
    int K;
    scanf("%d%d", &n, &K);
    for (int i = 1; i <= n; i++)
    {
        scanf("%lld", &a[i]);
    }
    sort(a + 1, a + n + 1);
    LL ans = 0;
    for (int i = 1; i <= n; i++)
    {
        ans = (ans + a[i] * C(i - 1, K - 1)) % P;
    }
    printf("%lld\n", ans);
}
本文作者 : NekoMio
知识共享署名-非商业性使用-相同方式共享 4.0 国际许可协议进行许可。
本文链接 : https://www.nekomio.com/2017/08/12/89/
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