/* -*- coding: utf-8 -*- * * 675.cc: No.675 ドットちゃんたち - 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 MAX_N = 100000; const int K = 3; /* typedef */ typedef pair pii; typedef int vec[K]; typedef vec mat[K]; /* global variables */ pii cms[MAX_N]; mat ms[MAX_N + 1]; /* subroutines */ inline void initmat(mat a) { memset(a, 0, sizeof(mat)); } inline void unitmat(mat a) { initmat(a); for (int i = 0; i < K; i++) a[i][i] = 1; } inline void mulmat(const mat a, const mat b, mat c) { for (int i = 0; i < K; i++) for (int j = 0; j < K; j++) { c[i][j] = 0; for (int k = 0; k < K; k++) c[i][j] += a[i][k] * b[k][j]; } } inline void mulmatvec(const mat a, const vec b, vec c) { for (int i = 0; i < K; i++) { c[i] = 0; for (int j = 0; j < K; j++) c[i] += a[i][j] * b[j]; } } /* main */ int main() { int n, px, py; scanf("%d%d%d", &n, &px, &py); for (int i = 0; i < n; i++) { scanf("%d", &cms[i].first); if (cms[i].first <= 2) scanf("%d", &cms[i].second); } unitmat(ms[n]); for (int i = n - 1; i >= 0; i--) { mat a; int &op = cms[i].first, &d = cms[i].second; if (op == 1) unitmat(a), a[0][2] = d; else if (op == 2) unitmat(a), a[1][2] = d; else initmat(a), a[0][1] = 1, a[1][0] = -1, a[2][2] = 1; mulmat(ms[i + 1], a, ms[i]); } vec v, w; v[0] = px, v[1] = py, v[2] = 1; for (int i = 0; i < n; i++) { mulmatvec(ms[i], v, w); printf("%d %d\n", w[0], w[1]); } return 0; }