【BZOJ】1152: [CTSC2006]歌唱王国Singleland

题解

读错题了，是最后留下一个牛人首长歌颂他，和其他人没有关系，t就相当于数据组数

结论题，具体可看
https://www.zhihu.com/question/59895916/answer/196874145

最后一个求导(1 - z)不拆，最后代入1的时候会消掉，就得出了这个结论

代码

#include <iostream>
#include <cstdio>
#include <vector>
#include <algorithm>
#include <cmath>
#include <cstring>
#include <map>
//#define ivorysi
#define pb push_back
#define space putchar(' ')
#define enter putchar('\n')
#define mp make_pair
#define pb push_back
#define fi first
#define se second
#define mo 974711
#define RG register
#define MAXN 200005
using namespace std;
typedef long long int64;
typedef double db;
template<class T>
void read(T &res) {
    res = 0;char c = getchar();T f = 1;
    while(c < '0' || c > '9') {
	if(c == '-') f = -1;
	c = getchar();
    }
    while(c >= '0' && c <= '9') {
	res = res * 10 + c - '0';
	c = getchar();
    }
    res *= f;
}
template<class T>
void out(T x) {
    if(x < 0) putchar('-'),x = -x;
    if(x >= 10) out(x / 10);
    putchar('0' + x % 10);
}
const int MOD = 10000;
int fpow(int x,int c) {
    int res = 1,t = x % MOD;
    while(c) {
	if(c & 1) res = res * t % MOD;
	t = t * t % MOD;
	c >>= 1;
    }
    return res;
}
int N,T,M,a[100005],fail[100005];
void Solve() {
    read(N);read(T);
    while(T--) {
	read(M);
	for(int i = 1 ; i <= M ; ++i) read(a[i]);
	fail[1] = 0;
	for(int i = 2 ; i <= M ; ++i) {
	    int p = fail[i - 1];
	    while(p && a[p + 1] != a[i]) p = fail[p];
	    if(a[p + 1] == a[i]) fail[i] = p + 1;
	    else fail[i] = 0;
	}
	int p = M,ans = 0;
	while(p) {
	    ans += fpow(N,p);
	    p = fail[p];
	}
	ans %= MOD;
	printf("%04d\n",ans);
    }
}
int main() {
#ifdef ivorysi
    freopen("f1.in","r",stdin);
#endif
    Solve();
    return 0;
}