/* -*- coding: utf-8 -*- * * 1677.cc: No.1677 mæx - 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 = 200000; const int MOD = 998244353; const int fmex[3][3] = { { 1, 2, 1 }, { 2, 0, 0 }, { 1, 0, 0 } }; enum { MAX, MEX, MAEX }; /* typedef */ typedef long long ll; template struct MI { int v; MI(): v() {} MI(int _v): v(_v) {} MI operator+(const MI m) const { return MI((v + m.v) % MOD); } MI operator-(const MI m) const { return MI((v + MOD - m.v) % MOD); } MI operator*(const MI m) const { return MI((ll)v * m.v % MOD); } MI &operator+=(const MI m) { return (*this = *this + m); } MI &operator-=(const MI m) { return (*this = *this - m); } MI &operator*=(const MI m) { return (*this = *this * m); } }; typedef MI mi; struct Val { mi ds[3]; Val(): ds() {} Val &setc(char c) { // c = '0', '1', '2', '?' memset(ds, 0, sizeof(ds)); if (c == '?') ds[0] = ds[1] = ds[2] = 1; else ds[c - '0'] = 1; return *this; } Val &setmax(Val va, Val vb) { memset(ds, 0, sizeof(ds)); for (int i = 0; i < 3; i++) for (int j = 0; j < 3; j++) ds[max(i, j)] += va.ds[i] * vb.ds[j]; return *this; } Val &setmex(Val va, Val vb) { memset(ds, 0, sizeof(ds)); for (int i = 0; i < 3; i++) for (int j = 0; j < 3; j++) ds[fmex[i][j]] += va.ds[i] * vb.ds[j]; return *this; } Val operator+(const Val &v) const { Val r; for (int i = 0; i < 3; i++) r.ds[i] = ds[i] + v.ds[i]; return r; } }; /* global variables */ char s[MAX_N + 4]; int ps[MAX_N], cs[MAX_N][2], cis[MAX_N], ts[MAX_N]; Val vs[MAX_N]; /* subroutines */ /* main */ int main() { int k; scanf("%s%d", s, &k); char *cpt = s; ps[0] = -1; for (int u = 0, x = 1; u >= 0;) { int up = ps[u]; if (cis[u] == 0) { if (*cpt != 'm') { vs[u].setc(*(cpt++)); u = up; } else { cpt++; // 'm' char op = *(cpt++); // 'a' or 'e', or '?' cpt++, cpt++; // 'x(' ts[u] = (op == 'a') ? MAX : (op == 'e') ? MEX : MAEX; cis[u]++; int v = cs[u][0] = x++; ps[v] = u; u = v; } } else if (cis[u] == 1) { cpt++; // ',' cis[u]++; int v = cs[u][1] = x++; ps[v] = u; u = v; } else { cpt++; // ')' Val &va = vs[cs[u][0]], &vb = vs[cs[u][1]]; switch (ts[u]) { case MAX: vs[u].setmax(va, vb); break; case MEX: vs[u].setmex(va, vb); break; default: // MAEX Val vmax, vmex; vmax.setmax(va, vb); vmex.setmex(va, vb); vs[u] = vmax + vmex; } u = up; } } printf("%d\n", vs[0].ds[k].v); return 0; }