Problem 2238 Daxia & Wzc's problem 1627 瞬间移动

Posted 2020-08-22 stupid_one

http://www.51nod.com/onlineJudge/questionCode.html#!problemId=1627

http://acm.fzu.edu.cn/problem.php?pid=2238

对应的51NOD这个题，先把n--和没m--

再套公式

#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <cmath>
#include <algorithm>
#include <assert.h>
#define ios ios::sync_with_stdio(false)
using namespace std;
#define inf (0x3f3f3f3f)
typedef long long int LL;


#include <iostream>
#include <sstream>
#include <vector>
#include <set>
#include <map>
#include <queue>
#include <string>
LL quick_pow(LL a, LL b, LL MOD) {  //求解 a^b%MOD的值
    LL base = a % MOD;
    LL ans = 1; //相乘，所以这里是1
    while (b) {
        if (b & 1) {
            ans = (ans * base) % MOD; //如果这里是很大的数据，就要用quick_mul
        }
        base = (base * base) % MOD;    //notice。注意这里,每次的base是自己base倍
        b >>= 1;
    }
    return ans;
}
LL C(LL n, LL m, LL MOD) {
    if (n < m) return 0; //防止sb地在循环，在lucas的时候
    if (n == m) return 1;
    LL ans1 = 1;
    LL ans2 = 1;
    LL mx = max(n - m, m); //这个也是必要的。能约就约最大的那个
    LL mi = n - mx;
    for (int i = 1; i <= mi; ++i) {
        ans1 = ans1 * (mx + i) %MOD;
        ans2 = ans2 * i % MOD;
    }
    return (ans1 * quick_pow(ans2, MOD - 2, MOD) % MOD); //这里放到最后进行,不然会很慢
}
const int MOD = 1e9 + 7;
void work() {
    int n, m;
    cin >> n >> m;
    cout << C(n + m - 4, n - 2, MOD) << endl;
}
int main() {
#ifdef local
    freopen("data.txt", "r", stdin);
//    freopen("data.txt", "w", stdout);
#endif
    work();
    return 0;
}

51NOD

#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <cmath>
#include <algorithm>
using namespace std;
#define inf (0x3f3f3f3f)
typedef long long int LL;

#include <iostream>
#include <sstream>
#include <vector>
#include <set>
#include <map>
#include <queue>
#include <string>
LL a, d, m, i;
const int MOD = 1000000007;
LL quick_pow (LL a, LL b, LL MOD) {
    //求解 a^b%MOD的值
    LL base = a % MOD;
    LL ans = 1; //相乘，所以这里是1
    while (b) {
        if (b & 1) {
            ans = (ans * base) % MOD; //如果这里是很大的数据，就要用quick_mul
        }
        base = (base * base) % MOD;    //notice
        //注意这里,每次的base是自己base倍
        b >>= 1;
    }
    return ans;
}
LL C (LL n, LL m, LL MOD) {
    if (n < m) return 0; //防止sb地在循环，在lucas的时候
    if (n == m) return 1;
    LL ans1 = 1;
    LL ans2 = 1;
    LL mx = max(n - m, m); //这个也是必要的。能约就约最大的那个
    LL mi = n - mx;
    for (int i = 1; i <= mi; ++i) {
        ans1 = ans1 * (mx + i) % MOD;
        ans2 = ans2 * i % MOD;
    }
    return (ans1 * quick_pow(ans2, MOD - 2, MOD) % MOD); //这里放到最后进行,不然会很慢
}
LL Lucas (LL n, LL m, LL MOD) {
    LL ans = 1;
    while (n && m && ans) {
        ans = ans * C(n % MOD, m % MOD, MOD) % MOD;
        n /= MOD;
        m /= MOD;
    }
    return ans;
}

void work () {
    if (i == 1) {
        printf ("%lld\\n", a);
        return;
    }
    LL ans = (C(m + i - 1, m, MOD) * a % MOD + C(m + i - 1, i - 2, MOD) * d % MOD) % MOD;
    printf ("%lld\\n", ans);
    return ;
}
int main() {
#ifdef local
    freopen("data.txt", "r", stdin);
#endif
    while (scanf("%lld%lld%lld%lld", &a, &d, &m, &i) != EOF) work();
    return 0;
}

FZUOJ