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using namespace std; typedef long long ll; ll mod; struct { ll a[2][2]; void init() { a[0][0] = 0; a[1][0] = 0; a[1][1] = 0; a[0][1] = 0; } inline ll* operator [] (int i) { return a[i]; } }; inline matrix mult(matrix a, matrix b) { matrix ans; ans.init(); for (int i = 0; i < 2; i++) for (int j = 0; j < 2; j++) for (int k = 0; k < 2; k++) ans[i][j] = (ans[i][j] + a[i][k] * b[k][j] % mod) % mod; return ans; } char s[1000005]; inline matrix Pow_q(matrix a, ll b) { matrix ans; ans.init(); ans[0][0] = 1; ans[1][1] = 1; while (b) { if (b & 1) ans = mult(ans, a); a = mult(a, a); b >>= 1; } return ans; }
matrix base[15]; int main() { ll x0, x1, a, b; scanf("%lld%lld%lld%lld", &x0, &x1, &a, &b); ll n; scanf("%s%lld", s, &mod); int len = strlen(s); if (len == 1 && s[0] == '0') { printf("%lldn", x0); return 0; } if (len == 1 && s[0] == '1') { printf("%lldn", x1); return 0; } s[len - 1]--; int i; for (i = len - 1; i >= 0; i--) if (s[i] < '0') s[i] = '9', s[i - 1]--; else break; if (s[0] == '0') { for (int i = 0; i < len - 1; i++) s[i] = s[i + 1]; s[len - 1] = 0; } matrix lcy; lcy[0][0] = a; lcy[0][1] = b; lcy[1][0] = 1ll; lcy[1][1] = 0; len = strlen(s); matrix ans; ans.init(); ans[0][0] = 1; ans[1][1] = 1; base[0].init(); base[0][0][0] = 1; base[0][1][1] = 1; for (int i = 1; i <= 9; i++) base[i] = mult(base[i - 1], lcy); for (int i = 0; i < len; i++) { ans = Pow_q(ans, 10); if (s[i] != '0') { ans = mult(ans, base[s[i] - '0']); } } ll ret = x1 * ans[0][0] % mod + x0 * ans[0][1] % mod; ret %= mod; printf("%lldn", ret); return 0; }
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