| 比赛 |
2026.5.30 |
评测结果 |
AAAWTTTTTT |
| 题目名称 |
数列求和 |
最终得分 |
30 |
| 用户昵称 |
LikableP |
运行时间 |
31.804 s |
| 代码语言 |
C++ |
内存使用 |
1.51 MiB |
| 提交时间 |
2026-05-30 11:37:14 |
显示代码纯文本
#include <cstdio>
typedef long long ll;
ll n, a, k, p;
ll ans;
ll kasumi(ll x, ll y) {
ll res = 1;
while (y) {
if (y & 1) res = res * x % p;
y >>= 1;
x = x * x % p;
}
return res;
}
ll exgcd(ll a, ll b, ll &x, ll &y) {
if (b == 0) {
x = 1, y = 0;
return a;
}
ll d = exgcd(b, a % b, x, y);
ll z = x;
x = y;
y = z - (a / b) * y;
return d;
}
ll inverse(ll num) {
ll x, y;
exgcd(num, p, x, y);
return (x % p + p) % p;
}
int main() {
freopen("oeis.in", "r", stdin);
freopen("oeis.out", "w", stdout);
scanf("%lld %lld %lld %lld", &n, &a, &k, &p);
if (k == 0) {
ans = ((kasumi(a, n + 1) - a) % p + p) % p * inverse(a - 1) % p;
printf("%lld\n", ans);
} else {
for (ll i = 1; i <= n; ++i) {
ans = (ans + kasumi(i, k) * kasumi(a, i)) % p;
}
printf("%lld\n", ans);
}
return 0;
}