#include namespace { #pragma GCC diagnostic ignored "-Wunused-function" #include #pragma GCC diagnostic warning "-Wunused-function" using namespace std; using namespace atcoder; #define rep(i,n) for(int i = 0; i < (int)(n); i++) #define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; i--) #define all(x) begin(x), end(x) #define rall(x) rbegin(x), rend(x) template bool chmax(T& a, const T& b) { if (a < b) { a = b; return true; } else return false; } template bool chmin(T& a, const T& b) { if (b < a) { a = b; return true; } else return false; } using ll = long long; using P = pair; using VI = vector; using VVI = vector; using VL = vector; using VVL = vector; using mint = modint998244353; } int main() { ios::sync_with_stdio(false); cin.tie(0); vector> trans1[10][1 << 3], trans1_last[10][1 << 3], trans2[10][1 << 3], trans2_last[10][1 << 3]; rep(n, 10) { rep(s, 1 << 2) { int cnt[1 << 2]{}; rep(x, 10) rep(z, 10) { if (~s & 1 && x > z) continue; if (~s & 2 && z > n) continue; int ns = s; if (x < z) ns |= 1; if (z < n) ns |= 2; cnt[ns]++; } rep(ns, 1 << 2) if (cnt[ns]) trans1[n][s].emplace_back(ns, cnt[ns]); } } rep(n, 10) { rep(s, 1 << 2) { int cnt[1 << 2]{}; rep(x, 10) rep(z, 10) { if (~s & 1 && x > z) continue; if (~s & 2 && z > n) continue; if (x % 2 != z % 2) continue; int ns = s; if (x < z) ns |= 1; if (z < n) ns |= 2; cnt[ns]++; } rep(ns, 1 << 2) if (cnt[ns]) trans1_last[n][s].emplace_back(ns, cnt[ns]); } } rep(n, 10) { rep(s, 1 << 2) { int cnt[1 << 2]{}; rep(x, 10) rep(z, 10) { if (~s & 1 && x < z) continue; if (~s & 2 && z > n) continue; int ns = s; if (x > z) ns |= 1; if (z < n) ns |= 2; cnt[ns]++; } rep(ns, 1 << 2) if (cnt[ns]) trans2[n][s].emplace_back(ns, cnt[ns]); } } rep(n, 10) { rep(s, 1 << 2) { int cnt[1 << 2]{}; rep(x, 10) rep(z, 10) { if (~s & 1 && x < z) continue; if (~s & 2 && z > n) continue; if (x % 2 != z % 2) continue; int ns = s; if (x > z) ns |= 1; if (z < n) ns |= 2; cnt[ns]++; } rep(ns, 1 << 2) if (cnt[ns]) trans2_last[n][s].emplace_back(ns, cnt[ns]); } } int tt; cin >> tt; while (tt--) { string s; int k; cin >> s >> k; int n = s.size(); mint dp[4]; dp[0] = 1; rep(i, n - k) { int x = s[i] - '0'; mint ndp[4]; rep(s, 4) { mint v = dp[s]; for (auto [ns, c] : (i == n - k - 1 ? trans1_last[x][s] : trans1[x][s])) ndp[ns] += c * v; } swap(dp, ndp); } dp[0] = dp[1]; dp[1] = 0; dp[2] = dp[3]; dp[3] = 0; for (int i = n - k; i < n; i++) { int x = s[i] - '0'; mint ndp[4]; rep(s, 4) { mint v = dp[s]; for (auto [ns, c] : (i == n - 1 ? trans2_last[x][s] : trans2[x][s])) ndp[ns] += c * v; } swap(dp, ndp); } cout << dp[3].val() << '\n'; } }