/* -*- coding: utf-8 -*- * * 1595.cc: No.1595 The Final Digit - yukicoder */ #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; /* constant */ const int N = 3; /* typedef */ typedef long long ll; typedef int vec[N]; typedef vec mat[N]; /* global variables */ mat ma, mb; vec va, vb; /* subroutines */ inline void initvec(vec a) { memset(a, 0, sizeof(vec)); } inline void initmat(mat a) { memset(a, 0, sizeof(mat)); } inline void unitmat(mat a) { initmat(a); for (int i = 0; i < N; i++) a[i][i] = 1; } inline void copymat(const mat a, mat b) { memcpy(b, a, sizeof(mat)); } inline void mulmat(const mat a, const mat b, mat c) { for (int i = 0; i < N; i++) for (int j = 0; j < N; j++) { c[i][j] = 0; for (int k = 0; k < N; k++) c[i][j] = (c[i][j] + a[i][k] * b[k][j]) % 10; } } inline void powmat(const mat a, ll b, mat c) { mat s, t; copymat(a, s); unitmat(c); while (b > 0) { if (b & 1) { mulmat(c, s, t); copymat(t, c); } mulmat(s, s, t); copymat(t, s); b >>= 1; } } inline void mulmatvec(const mat a, const vec b, vec c) { for (int i = 0; i < N; i++) { c[i] = 0; for (int j = 0; j < N; j++) c[i] = (c[i] + a[i][j] * b[j]) % 10; } } /* main */ int main() { int p, q, r; ll k; scanf("%d%d%d%lld", &p, &q, &r, &k); ma[0][0] = 1, ma[0][1] = 1, ma[0][2] = 1; ma[1][0] = 1, ma[1][1] = 0, ma[1][2] = 0; ma[2][0] = 0, ma[2][1] = 1, ma[2][2] = 0; powmat(ma, k - 3, mb); va[0] = r % 10, va[1] = q % 10, va[2] = p % 10; mulmatvec(mb, va, vb); printf("%d\n", vb[0]); return 0; }