long[][] initMatrix(int n, int start) {
long[][] m = Matrix.unit(n);
for (int i = 0; i < start; i++) {
m[i][start] = 1;
}
return m;
}
public int solve(long coins_sum, long[] values) {
int n = values.length;
long[][][] step = new long[n][][];
step[0] = Matrix.unit(n);
for (int i = 1; i < n; i++) {
long div = values[i] / values[i - 1];
step[i] = Matrix.mul(initMatrix(n, i), Matrix.pow(step[i - 1], div, MOD), MOD);
}
long[][] total = Matrix.unit(n);
for (int i = n - 1; i >= 0; i--) {
long length = coins_sum / values[i];
coins_sum %= values[i];
total = Matrix.mul(Matrix.pow(step[i], length, MOD), total, MOD);
}
long res = 0;
for (int i = 0; i < n; i++) {
res += total[0][i];
}
return (int) (res % MOD);
}
