#include #include #define repeat(i,n) for (int i = 0; (i) < (n); ++(i)) #define repeat_from(i,m,n) for (int i = (m); (i) < (n); ++(i)) using namespace std; template void setmax(T & a, T const & b) { if (a < b) a = b; } template auto vectors(T a, X x) { return vector(x, a); } template auto vectors(T a, X x, Y y, Zs... zs) { auto cont = vectors(a, y, zs...); return vector(x, cont); } int main() { int t; cin >> t; vector s(t); repeat (i,t) cin >> s[i]; int n_max = 0; repeat (i,t) setmax(n_max, s[i].length()); vector > choose = vectors(int(), n_max+1, n_max+1); choose[1][0] = 1; repeat_from (n,1,n_max) { repeat (r,n+1+1) { choose[n+1][r] = (choose[n][r] + (r-1 >= 0 ? choose[n][r-1] : 0)) % 9; } } repeat (i,t) { int n = s[i].length(); int acc = 0; repeat (j,n) acc += (s[i][j] - '0') * choose[n][j]; while (acc >= 10) acc = acc / 10 + acc % 10; cout << acc << endl; } return 0; }