#include #include #define rep(i,a,n) for(int i=a; i using Matrix = vector< vector >; template void init_mat(Matrix &A, int h, int w) { A.resize(h, vector(w, 0)); } template Matrix calc_mat(Matrix A, Matrix B) { Matrix C(A.size(), vector(B[0].size())); for(int i=0; i Matrix mat_pow(Matrix A, ll n) { Matrix B(A.size(), vector(A.size())); for(int i=0; i 0) { if(n & 1) B = calc_mat(B, A); A = calc_mat(A, A); n >>= 1; } return B; } void printmat(int p); static const ll S = 1 << 17; struct SegTree { Matrix node[2*S], I; SegTree() { I = { {1, 0, 0, 0}, {0, 1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1} }; rep(i,0,2*S) { node[i] = { {1, 0, 0, 0}, {0, 0, 0, 1}, {0, 0, 0, 1}, {0, 0, 0, 1} }; } } void change(int x, Matrix M) { int p = x + (S - 1); node[p] = M; while(p > 0) { int c1 = p, c2 = p + (p % 2 ? 1 : -1); if(c1 > c2) swap(c1, c2); p = (p - 1) / 2; node[p] = calc_mat(node[c2], node[c1]); } } Matrix query(int a, int b, int l=0, int r=S, int k=0) { if(b <= l || r <= a) return I; if(a <= l && r <= b) return node[k]; int mid = (l + r) / 2; Matrix vl = query(a, b, l, mid, 2*k+1); Matrix vr = query(a, b, mid, r, 2*k+2); return calc_mat(vr, vl); } }; int N, Q; SegTree seg; signed main() { cin >> N >> Q; rep(x,0,Q) { char q; cin >> q; if(q == 'x') { int i, v; cin >> i >> v; Matrix nmat = seg.node[S+i-1]; nmat[0][2] = v; seg.change(i, nmat); } if(q == 'y') { int i, v; cin >> i >> v; Matrix nmat = seg.node[S+i-1]; nmat[1][1] = v; nmat[2][1] = 2 * v; nmat[2][2] = (v * v) % MOD; seg.change(i, nmat); } if(q == 'a') { int i; cin >> i; Matrix qmat = seg.query(0, i); int ans = 0; rep(i,0,4) (ans += qmat[0][i]) %= MOD; cout << ans << endl; } } return 0; }