cf 1182 E

• 当时脑残了， 不会写矩阵快速幂中更改的系数， 其实把他扔到矩阵里同时递推就好了

#include<cstdio>
#include<algorithm>
#include<cstring>
#include<queue>
#include<iostream>
#define ll long long
using namespace std;
ll read() {
	ll nm = 0, f = 1;
	char c = getchar();
	for(; !isdigit(c); c = getchar()) if(c == '-') f = -1;
	for(; isdigit(c); c = getchar()) nm = nm * 10 + c - '0';
	return nm * f;
}
const int mod = 1000000006, mod1 = 1000000007;
void add(int &x, int y) {
	x += y;
	x -= x >= mod ? mod : 0;
}
int mul(int a, int b) {
	return 1ll * a * b % mod;
}

void add1(int &x, int y) {
	x += y;
	x -= x >= mod ? mod : 0;
}

int mul1(int a, int b) {
	return 1ll * a * b % mod1;
}

struct Note {
	int a[5][5], h, l;
	Note() {
		memset(a, 0, sizeof(a));
		h = l = 0;
	}
	void init() {
		memset(a, 0, sizeof(a));
		h = l = 0;
	}
} be, ed, tmp, biao;

Note operator * (Note a, Note b) {
	Note c;
	c.h = a.h, c.l = b.l;
	for(int i = 0; i < a.h; i++) {
		for(int j = 0; j < a.l; j++) {
			for(int k = 0; k < b.l; k++) {
				add(c.a[i][k], mul(a.a[i][j], b.a[j][k]));
			}
		}
	}
	return c;
}
int poww(int a, int b) {
	int ans = 1, tmp = a;
	for(; b; b >>= 1, tmp = mul1(tmp, tmp)) if(b & 1) ans = mul1(ans, tmp);
	return ans;
}
Note poww(ll x) {
	tmp = biao;
	for(; x; x >>= 1, tmp = tmp *  tmp) if(x & 1) be = be * tmp;
	return be;
}

int f1, f2, f3, c, ans = 1;
ll n;
void init() {
	be.init();
	biao.init();
}

int main() {
	n = read();
	n -= 3;
	f1 = read(), f2 = read(), f3 = read(), c = read();
	init();
	be.h = 1, be.l = 3;
	be.a[0][0] = 1;
	biao.h = biao.l = 3;
	biao.a[0][2] = biao.a[1][0] = biao.a[1][2] = biao.a[2][1] = biao.a[2][2] = 1;
	ed = poww(n);
	ans = mul1(ans, poww(f1, ed.a[0][2]));
	init();
	be.h = 1, be.l = 3;
	be.a[0][1] = 1;
	biao.h = biao.l = 3;
	biao.a[0][2] = biao.a[1][0] = biao.a[1][2] = biao.a[2][1] = biao.a[2][2] = 1;
	ed = poww(n);
	ans = mul1(ans, poww(f2, ed.a[0][2]));
	init();
	be.h = 1, be.l = 3;
	be.a[0][2] = 1;
	biao.h = biao.l = 3;
	biao.a[0][2] = biao.a[1][0] = biao.a[1][2] = biao.a[2][1] = biao.a[2][2] = 1;
	ed = poww(n);
	ans = mul1(ans, poww(f3, ed.a[0][2]));
	init();
	be.h = 1, be.l = 5;
	be.a[0][3] = 8, be.a[0][4] = 1;
	biao.h = biao.l = 5;
	biao.a[4][4] = biao.a[1][0] = biao.a[0][2] = biao.a[1][2] = biao.a[2][1] = biao.a[2][2] = biao.a[3][2] = biao.a[3][3] = 1;
	biao.a[4][2] = mod - 6;
	biao.a[4][3] = 2;
	ed = poww(n);
	ans = mul1(ans, poww(c, ed.a[0][2]));
	cout << ans << "
";
	return 0;
}