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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#214134#2693. NEQKXG1003216ms108024kbC++1.3kb2024-11-15 19:20:062024-11-15 23:24:48

answer

#include <cstdio>
using namespace std;
const int mod = 1e9 + 7;
long long inv[4000010], invfac[4000010], fac[4000010];
int t, n, m;
long long dp[2000010];
long long pow_mod(long long n, long long p, long long mod) {
    long long res = 1;
    for (; p; p >>= 1, n = n * n % mod) {
        if (p & 1) {
            res = res * n % mod;
        }
    }
    return res;
}
long long A(long long n, long long m) {
    return fac[n] * invfac[n - m] % mod;
}
long long C(long long n, long long m) {
    return fac[n] * invfac[m] % mod * invfac[n - m] % mod;
}
int main() {
    invfac[0] = invfac[1] = inv[1] = fac[0] = fac[1] = 1;
    for (int i = 2; i <= 4000000; i++) {
        inv[i] = (mod - mod / i) * inv[mod % i] % mod;
        invfac[i] = invfac[i - 1] * inv[i] % mod;
        fac[i] = fac[i - 1] * i % mod;
    }
    scanf("%d", &t);
    while (t--) {
        scanf("%d%d", &n, &m);
        for (int i = 0; i <= n; i++) {
            dp[i] = A(m, n) * A(m - i, n - i) % mod;
        }
        long long ans = 0;
        for (int i = 0; i <= n; i++) {
            if (i % 2 == 0) {
                ans += dp[i] * C(n, i) % mod;
            } else {
                ans -= dp[i] * C(n, i) % mod;
            }
        }
        ans = (ans % mod + mod) % mod;
        printf("%lld\n", ans);
    }
    return 0;
}

Details

小提示:点击横条可展开更详细的信息

Test #1:

score: 5
Accepted
time: 102ms
memory: 94264kb

input:

10
10 10
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2 10
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output:

306442892
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result:

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Test #2:

score: 5
Accepted
time: 118ms
memory: 94260kb

input:

10
5 10
1 10
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output:

547011360
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result:

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Test #3:

score: 5
Accepted
time: 123ms
memory: 94264kb

input:

10
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output:

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result:

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Test #4:

score: 5
Accepted
time: 127ms
memory: 94264kb

input:

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output:

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result:

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Test #5:

score: 5
Accepted
time: 152ms
memory: 101808kb

input:

10
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output:

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result:

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Test #6:

score: 5
Accepted
time: 145ms
memory: 106592kb

input:

10
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output:

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result:

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Test #7:

score: 5
Accepted
time: 178ms
memory: 106460kb

input:

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output:

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result:

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Test #8:

score: 5
Accepted
time: 182ms
memory: 102088kb

input:

10
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output:

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result:

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Test #9:

score: 5
Accepted
time: 188ms
memory: 105420kb

input:

10
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output:

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result:

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Test #10:

score: 5
Accepted
time: 162ms
memory: 107500kb

input:

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output:

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result:

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Test #11:

score: 5
Accepted
time: 183ms
memory: 103456kb

input:

10
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output:

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result:

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Test #12:

score: 5
Accepted
time: 179ms
memory: 104776kb

input:

10
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output:

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result:

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Test #13:

score: 5
Accepted
time: 195ms
memory: 101824kb

input:

10
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output:

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result:

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Test #14:

score: 5
Accepted
time: 165ms
memory: 103456kb

input:

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output:

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result:

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Test #15:

score: 5
Accepted
time: 192ms
memory: 106528kb

input:

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output:

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result:

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Test #16:

score: 5
Accepted
time: 151ms
memory: 97196kb

input:

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output:

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result:

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Test #17:

score: 5
Accepted
time: 212ms
memory: 108024kb

input:

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output:

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result:

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Test #18:

score: 5
Accepted
time: 189ms
memory: 103996kb

input:

10
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output:

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result:

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Test #19:

score: 5
Accepted
time: 139ms
memory: 105968kb

input:

10
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output:

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result:

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Test #20:

score: 5
Accepted
time: 134ms
memory: 100804kb

input:

10
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output:

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result:

ok 10 lines