Codeforces Round #475 (Div. 2) C - Alternating Sum
等比数列求和一定要分类讨论!!!!!!!!!!!!
#include<bits/stdc++.h>
#define LL long long
#define fi first
#define se second
#define mk make_pair
#define pii pair<int,int>
#define ull unsigned long long
using namespace std; const int N=1e6+;
const int M=+;
const int inf=0x3f3f3f3f;
const LL INF=0x3f3f3f3f3f3f3f3f;
const int mod=1e9 + ; LL n, a, b, k;
char s[N]; LL q_pow(LL a, LL b) {
LL ans = ;
while(b) {
if(b & ) ans = ans * a % mod;
a = a * a % mod; b >>= ;
}
return ans;
} LL ivn(LL x) {
return q_pow(x, mod - );
} int main() { scanf("%lld%lld%lld%lld", &n, &a, &b, &k);
scanf("%s", s);
LL w = q_pow(b, k) * ivn(q_pow(a, k)) % mod;
w = (w + mod) % mod; LL ans = ;
LL cnt = (n + ) / k; for(LL i = ; i < k; i++) {
LL ret1 = q_pow(a, n - i) * q_pow(b, i) % mod;
LL ret2 = ( - q_pow(w, cnt) + mod) % mod;
LL ret3 = ivn(( - w + mod) % mod);
LL ret = (((ret1 * ret2) % mod) * ret3) % mod;
if(w == ) ret = (ret1 * cnt) % mod;
if(s[i] == '-') ret = -ret;
ans = (ans + ret + mod) % mod;
}
printf("%lld\n", ans);
return ;
}
/*
*/
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