#include<bits/stdc++.h>
using namespace std;
using ll = long long;
using ull = unsigned long long;
using vi = vector<int>;
using vl = vector<ll>;
using vb = vector<bool>;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
using str = string;
#define all(a) a.begin(), a.end()
#define print(a) for (auto elem:a) cout<<elem<<' '; cout<<'\n'
#define segprep(b) resize(1<<((int)ceil(log2(b.size()))+1))
#define FOR(a) for (int _ = 0; _ < a; _++)
const int k = 10;
const vector<str> ind_to_vb = {
	"0000000000",
	"0000000001",
	"0000000010",
	"0000000100",
	"0000001000",
	"0000010000",
	"0000100000",
	"0001000000",
	"0010000000",
	"0100000000",
	"1000000001",
	"0000000011",
	"0000000110",
	"0000001100",
	"0000011000",
	"0000110000",
	"0001100000",
	"0011000000",
	"0110000000",
	"1100000001",
	"1000000010",
	"0000000101",
	"0000001010",
	"0000010100",
	"0000101000",
	"0001010000",
	"0010100000",
	"0101000000",
	"1010000000",
	"0100000001",
	"1000000011",
	"0000000111",
	"0000001110",
	"0000011100",
	"0000111000",
	"0001110000",
	"0011100000",
	"0111000000",
	"1110000001",
	"1100000010",
	"1000000100",
	"0000001001",
	"0000010010",
	"0000100100",
	"0001001000",
	"0010010000",
	"0100100000",
	"1001000000",
	"0010000001",
	"0100000010",
	"1000000101",
	"0000001011",
	"0000010110",
	"0000101100",
	"0001011000",
	"0010110000",
	"0101100000",
	"1011000000",
	"0110000001",
	"1100000011",
	"1000000110",
	"0000001101",
	"0000011010",
	"0000110100",
	"0001101000",
	"0011010000",
	"0110100000",
	"1101000000",
	"1010000001",
	"0100000011",
	"1000000111",
	"0000001111",
	"0000011110",
	"0000111100",
	"0001111000",
	"0011110000",
	"0111100000",
	"1111000001",
	"1110000010",
	"1100000100",
	"1000001000",
	"0000010001",
	"0000100010",
	"0001000100",
	"0010001000",
	"0100010000",
	"1000100000",
	"0001000001",
	"0010000010",
	"0100000100",
	"1000001001",
	"0000010011",
	"0000100110",
	"0001001100",
	"0010011000",
	"0100110000",
	"1001100000",
	"0011000001",
	"0110000010",
	"1100000101",
	"1000001010",
	"0000010101",
	"0000101010",
	"0001010100",
	"0010101000",
	"0101010000",
	"1010100000",
	"0101000001",
	"1010000010",
	"0100000101",
	"1000001011",
	"0000010111",
	"0000101110",
	"0001011100",
	"0010111000",
	"0101110000",
	"1011100000",
	"0111000001",
	"1110000011",
	"1100000110",
	"1000001100",
	"0000011001",
	"0000110010",
	"0001100100",
	"0011001000",
	"0110010000",
	"1100100000",
	"1001000001",
	"0010000011",
	"0100000110",
	"1000001101",
	"0000011011",
	"0000110110",
	"0001101100",
	"0011011000",
	"0110110000",
	"1101100000",
	"1011000001",
	"0110000011",
	"1100000111",
	"1000001110",
	"0000011101",
	"0000111010",
	"0001110100",
	"0011101000",
	"0111010000",
	"1110100000",
	"1101000001",
	"1010000011",
	"0100000111",
	"1000001111",
	"0000011111",
	"0000111110",
	"0001111100",
	"0011111000",
	"0111110000",
	"1111100001",
	"1111000010",
	"1110000100",
	"1100001000",
	"1000010000",
	"0000100001",
	"0001000010",
	"0010000100",
	"0100001000",
	"1000010001",
	"0000100011",
	"0001000110",
	"0010001100",
	"0100011000",
	"1000110000",
	"0001100001",
	"0011000010",
	"0110000100",
	"1100001001",
	"1000010010",
	"0000100101",
	"0001001010",
	"0010010100",
	"0100101000",
	"1001010000",
	"0010100001",
	"0101000010",
	"1010000100",
	"0100001001",
	"1000010011",
	"0000100111",
	"0001001110",
	"0010011100",
	"0100111000",
	"1001110000",
	"0011100001",
	"0111000010",
	"1110000101",
	"1100001010",
	"1000010100",
	"0000101001",
	"0001010010",
	"0010100100",
	"0101001000",
	"1010010000",
	"0100100001",
	"1001000010",
	"0010000101",
	"0100001010",
	"1000010101",
	"0000101011",
	"0001010110",
	"0010101100",
	"0101011000",
	"1010110000",
	"0101100001",
	"1011000010",
	"0110000101",
	"1100001011",
	"1000010110",
	"0000101101",
	"0001011010",
	"0010110100",
	"0101101000",
	"1011010000",
	"0110100001",
	"1101000010",
	"1010000101",
	"0100001011",
	"1000010111",
	"0000101111",
	"0001011110",
	"0010111100",
	"0101111000",
	"1011110000",
	"0111100001",
	"1111000011",
	"1110000110",
	"1100001100",
	"1000011000",
	"0000110001",
	"0001100010",
	"0011000100",
	"0110001000",
	"1100010000",
	"1000100001",
	"0001000011",
	"0010000110",
	"0100001100",
	"1000011001",
	"0000110011",
	"0001100110",
	"0011001100",
	"0110011000",
	"1100110000",
	"1001100001",
	"0011000011",
	"0110000110",
	"1100001101",
	"1000011010",
	"0000110101",
	"0001101010",
	"0011010100",
	"0110101000",
	"1101010000",
	"1010100001",
	"0101000011",
	"1010000110",
	"0100001101",
	"1000011011",
	"0000110111",
	"0001101110",
	"0011011100",
	"0110111000",
	"1101110000",
	"1011100001",
	"0111000011",
	"1110000111",
	"1100001110",
	"1000011100",
	"0000111001",
	"0001110010",
	"0011100100",
	"0111001000",
	"1110010000",
	"1100100001",
	"1001000011",
	"0010000111",
	"0100001110",
	"1000011101",
	"0000111011",
	"0001110110",
	"0011101100",
	"0111011000",
	"1110110000",
	"1101100001",
	"1011000011",
	"0110000111",
	"1100001111",
	"1000011110",
	"0000111101",
	"0001111010",
	"0011110100",
	"0111101000",
	"1111010000",
	"1110100001",
	"1101000011",
	"1010000111",
	"0100001111",
	"1000011111",
	"0000111111",
	"0001111110",
	"0011111100",
	"0111111000",
	"1111110001",
	"1111100010",
	"1111000100",
	"1110001000",
	"1100010001",
	"1000100010",
	"0001000101",
	"0010001010",
	"0100010100",
	"1000101000",
	"0001010001",
	"0010100010",
	"0101000100",
	"1010001000",
	"0100010001",
	"1000100011",
	"0001000111",
	"0010001110",
	"0100011100",
	"1000111000",
	"0001110001",
	"0011100010",
	"0111000100",
	"1110001001",
	"1100010010",
	"1000100100",
	"0001001001",
	"0010010010",
	"0100100100",
	"1001001000",
	"0010010001",
	"0100100010",
	"1001000100",
	"0010001001",
	"0100010010",
	"1000100101",
	"0001001011",
	"0010010110",
	"0100101100",
	"1001011000",
	"0010110001",
	"0101100010",
	"1011000100",
	"0110001001",
	"1100010011",
	"1000100110",
	"0001001101",
	"0010011010",
	"0100110100",
	"1001101000",
	"0011010001",
	"0110100010",
	"1101000100",
	"1010001001",
	"0100010011",
	"1000100111",
	"0001001111",
	"0010011110",
	"0100111100",
	"1001111000",
	"0011110001",
	"0111100010",
	"1111000101",
	"1110001010",
	"1100010100",
	"1000101001",
	"0001010011",
	"0010100110",
	"0101001100",
	"1010011000",
	"0100110001",
	"1001100010",
	"0011000101",
	"0110001010",
	"1100010101",
	"1000101010",
	"0001010101",
	"0010101010",
	"0101010100",
	"1010101000",
	"0101010001",
	"1010100010",
	"0101000101",
	"1010001010",
	"0100010101",
	"1000101011",
	"0001010111",
	"0010101110",
	"0101011100",
	"1010111000",
	"0101110001",
	"1011100010",
	"0111000101",
	"1110001011",
	"1100010110",
	"1000101100",
	"0001011001",
	"0010110010",
	"0101100100",
	"1011001000",
	"0110010001",
	"1100100010",
	"1001000101",
	"0010001011",
	"0100010110",
	"1000101101",
	"0001011011",
	"0010110110",
	"0101101100",
	"1011011000",
	"0110110001",
	"1101100010",
	"1011000101",
	"0110001011",
	"1100010111",
	"1000101110",
	"0001011101",
	"0010111010",
	"0101110100",
	"1011101000",
	"0111010001",
	"1110100010",
	"1101000101",
	"1010001011",
	"0100010111",
	"1000101111",
	"0001011111",
	"0010111110",
	"0101111100",
	"1011111000",
	"0111110001",
	"1111100011",
	"1111000110",
	"1110001100",
	"1100011000",
	"1000110001",
	"0001100011",
	"0011000110",
	"0110001100",
	"1100011001",
	"1000110010",
	"0001100101",
	"0011001010",
	"0110010100",
	"1100101000",
	"1001010001",
	"0010100011",
	"0101000110",
	"1010001100",
	"0100011001",
	"1000110011",
	"0001100111",
	"0011001110",
	"0110011100",
	"1100111000",
	"1001110001",
	"0011100011",
	"0111000110",
	"1110001101",
	"1100011010",
	"1000110100",
	"0001101001",
	"0011010010",
	"0110100100",
	"1101001000",
	"1010010001",
	"0100100011",
	"1001000110",
	"0010001101",
	"0100011010",
	"1000110101",
	"0001101011",
	"0011010110",
	"0110101100",
	"1101011000",
	"1010110001",
	"0101100011",
	"1011000110",
	"0110001101",
	"1100011011",
	"1000110110",
	"0001101101",
	"0011011010",
	"0110110100",
	"1101101000",
	"1011010001",
	"0110100011",
	"1101000110",
	"1010001101",
	"0100011011",
	"1000110111",
	"0001101111",
	"0011011110",
	"0110111100",
	"1101111000",
	"1011110001",
	"0111100011",
	"1111000111",
	"1110001110",
	"1100011100",
	"1000111001",
	"0001110011",
	"0011100110",
	"0111001100",
	"1110011000",
	"1100110001",
	"1001100011",
	"0011000111",
	"0110001110",
	"1100011101",
	"1000111010",
	"0001110101",
	"0011101010",
	"0111010100",
	"1110101000",
	"1101010001",
	"1010100011",
	"0101000111",
	"1010001110",
	"0100011101",
	"1000111011",
	"0001110111",
	"0011101110",
	"0111011100",
	"1110111000",
	"1101110001",
	"1011100011",
	"0111000111",
	"1110001111",
	"1100011110",
	"1000111100",
	"0001111001",
	"0011110010",
	"0111100100",
	"1111001000",
	"1110010001",
	"1100100011",
	"1001000111",
	"0010001111",
	"0100011110",
	"1000111101",
	"0001111011",
	"0011110110",
	"0111101100",
	"1111011000",
	"1110110001",
	"1101100011",
	"1011000111",
	"0110001111",
	"1100011111",
	"1000111110",
	"0001111101",
	"0011111010",
	"0111110100",
	"1111101000",
	"1111010001",
	"1110100011",
	"1101000111",
	"1010001111",
	"0100011111",
	"1000111111",
	"0001111111",
	"0011111110",
	"0111111100",
	"1111111001",
	"1111110010",
	"1111100100",
	"1111001001",
	"1110010010",
	"1100100100",
	"1001001001",
	"0010010011",
	"0100100110",
	"1001001100",
	"0010011001",
	"0100110010",
	"1001100100",
	"0011001001",
	"0110010010",
	"1100100101",
	"1001001010",
	"0010010101",
	"0100101010",
	"1001010100",
	"0010101001",
	"0101010010",
	"1010100100",
	"0101001001",
	"1010010010",
	"0100100101",
	"1001001011",
	"0010010111",
	"0100101110",
	"1001011100",
	"0010111001",
	"0101110010",
	"1011100100",
	"0111001001",
	"1110010011",
	"1100100110",
	"1001001101",
	"0010011011",
	"0100110110",
	"1001101100",
	"0011011001",
	"0110110010",
	"1101100100",
	"1011001001",
	"0110010011",
	"1100100111",
	"1001001110",
	"0010011101",
	"0100111010",
	"1001110100",
	"0011101001",
	"0111010010",
	"1110100100",
	"1101001001",
	"1010010011",
	"0100100111",
	"1001001111",
	"0010011111",
	"0100111110",
	"1001111100",
	"0011111001",
	"0111110010",
	"1111100101",
	"1111001010",
	"1110010100",
	"1100101001",
	"1001010010",
	"0010100101",
	"0101001010",
	"1010010100",
	"0100101001",
	"1001010011",
	"0010100111",
	"0101001110",
	"1010011100",
	"0100111001",
	"1001110010",
	"0011100101",
	"0111001010",
	"1110010101",
	"1100101010",
	"1001010101",
	"0010101011",
	"0101010110",
	"1010101100",
	"0101011001",
	"1010110010",
	"0101100101",
	"1011001010",
	"0110010101",
	"1100101011",
	"1001010110",
	"0010101101",
	"0101011010",
	"1010110100",
	"0101101001",
	"1011010010",
	"0110100101",
	"1101001010",
	"1010010101",
	"0100101011",
	"1001010111",
	"0010101111",
	"0101011110",
	"1010111100",
	"0101111001",
	"1011110010",
	"0111100101",
	"1111001011",
	"1110010110",
	"1100101100",
	"1001011001",
	"0010110011",
	"0101100110",
	"1011001100",
	"0110011001",
	"1100110010",
	"1001100101",
	"0011001011",
	"0110010110",
	"1100101101",
	"1001011010",
	"0010110101",
	"0101101010",
	"1011010100",
	"0110101001",
	"1101010010",
	"1010100101",
	"0101001011",
	"1010010110",
	"0100101101",
	"1001011011",
	"0010110111",
	"0101101110",
	"1011011100",
	"0110111001",
	"1101110010",
	"1011100101",
	"0111001011",
	"1110010111",
	"1100101110",
	"1001011101",
	"0010111011",
	"0101110110",
	"1011101100",
	"0111011001",
	"1110110010",
	"1101100101",
	"1011001011",
	"0110010111",
	"1100101111",
	"1001011110",
	"0010111101",
	"0101111010",
	"1011110100",
	"0111101001",
	"1111010010",
	"1110100101",
	"1101001011",
	"1010010111",
	"0100101111",
	"1001011111",
	"0010111111",
	"0101111110",
	"1011111100",
	"0111111001",
	"1111110011",
	"1111100110",
	"1111001100",
	"1110011001",
	"1100110011",
	"1001100110",
	"0011001101",
	"0110011010",
	"1100110100",
	"1001101001",
	"0011010011",
	"0110100110",
	"1101001100",
	"1010011001",
	"0100110011",
	"1001100111",
	"0011001111",
	"0110011110",
	"1100111100",
	"1001111001",
	"0011110011",
	"0111100110",
	"1111001101",
	"1110011010",
	"1100110101",
	"1001101010",
	"0011010101",
	"0110101010",
	"1101010100",
	"1010101001",
	"0101010011",
	"1010100110",
	"0101001101",
	"1010011010",
	"0100110101",
	"1001101011",
	"0011010111",
	"0110101110",
	"1101011100",
	"1010111001",
	"0101110011",
	"1011100110",
	"0111001101",
	"1110011011",
	"1100110110",
	"1001101101",
	"0011011011",
	"0110110110",
	"1101101100",
	"1011011001",
	"0110110011",
	"1101100110",
	"1011001101",
	"0110011011",
	"1100110111",
	"1001101110",
	"0011011101",
	"0110111010",
	"1101110100",
	"1011101001",
	"0111010011",
	"1110100110",
	"1101001101",
	"1010011011",
	"0100110111",
	"1001101111",
	"0011011111",
	"0110111110",
	"1101111100",
	"1011111001",
	"0111110011",
	"1111100111",
	"1111001110",
	"1110011100",
	"1100111001",
	"1001110011",
	"0011100111",
	"0111001110",
	"1110011101",
	"1100111010",
	"1001110101",
	"0011101011",
	"0111010110",
	"1110101100",
	"1101011001",
	"1010110011",
	"0101100111",
	"1011001110",
	"0110011101",
	"1100111011",
	"1001110110",
	"0011101101",
	"0111011010",
	"1110110100",
	"1101101001",
	"1011010011",
	"0110100111",
	"1101001110",
	"1010011101",
	"0100111011",
	"1001110111",
	"0011101111",
	"0111011110",
	"1110111100",
	"1101111001",
	"1011110011",
	"0111100111",
	"1111001111",
	"1110011110",
	"1100111101",
	"1001111010",
	"0011110101",
	"0111101010",
	"1111010100",
	"1110101001",
	"1101010011",
	"1010100111",
	"0101001111",
	"1010011110",
	"0100111101",
	"1001111011",
	"0011110111",
	"0111101110",
	"1111011100",
	"1110111001",
	"1101110011",
	"1011100111",
	"0111001111",
	"1110011111",
	"1100111110",
	"1001111101",
	"0011111011",
	"0111110110",
	"1111101100",
	"1111011001",
	"1110110011",
	"1101100111",
	"1011001111",
	"0110011111",
	"1100111111",
	"1001111110",
	"0011111101",
	"0111111010",
	"1111110100",
	"1111101001",
	"1111010011",
	"1110100111",
	"1101001111",
	"1010011111",
	"0100111111",
	"1001111111",
	"0011111111",
	"0111111110",
	"1111111101",
	"1111111010",
	"1111110101",
	"1111101010",
	"1111010101",
	"1110101010",
	"1101010101",
	"1010101010",
	"0101010101",
	"1010101011",
	"0101010111",
	"1010101110",
	"0101011101",
	"1010111010",
	"0101110101",
	"1011101010",
	"0111010101",
	"1110101011",
	"1101010110",
	"1010101101",
	"0101011011",
	"1010110110",
	"0101101101",
	"1011011010",
	"0110110101",
	"1101101010",
	"1011010101",
	"0110101011",
	"1101010111",
	"1010101111",
	"0101011111",
	"1010111110",
	"0101111101",
	"1011111010",
	"0111110101",
	"1111101011",
	"1111010110",
	"1110101101",
	"1101011010",
	"1010110101",
	"0101101011",
	"1011010110",
	"0110101101",
	"1101011011",
	"1010110111",
	"0101101111",
	"1011011110",
	"0110111101",
	"1101111010",
	"1011110101",
	"0111101011",
	"1111010111",
	"1110101110",
	"1101011101",
	"1010111011",
	"0101110111",
	"1011101110",
	"0111011101",
	"1110111010",
	"1101110101",
	"1011101011",
	"0111010111",
	"1110101111",
	"1101011110",
	"1010111101",
	"0101111011",
	"1011110110",
	"0111101101",
	"1111011010",
	"1110110101",
	"1101101011",
	"1011010111",
	"0110101111",
	"1101011111",
	"1010111111",
	"0101111111",
	"1011111110",
	"0111111101",
	"1111111011",
	"1111110110",
	"1111101101",
	"1111011011",
	"1110110110",
	"1101101101",
	"1011011011",
	"0110110111",
	"1101101110",
	"1011011101",
	"0110111011",
	"1101110110",
	"1011101101",
	"0111011011",
	"1110110111",
	"1101101111",
	"1011011111",
	"0110111111",
	"1101111110",
	"1011111101",
	"0111111011",
	"1111110111",
	"1111101110",
	"1111011101",
	"1110111011",
	"1101110111",
	"1011101111",
	"0111011111",
	"1110111110"
};
const map<str, int> vb_to_int = {
	{"0000000000", 0},
	{"0000000001", 1},
	{"0000000010", 2},
	{"0000000100", 3},
	{"0000001000", 4},
	{"0000010000", 5},
	{"0000100000", 6},
	{"0001000000", 7},
	{"0010000000", 8},
	{"0100000000", 9},
	{"1000000001", 10},
	{"0000000011", 11},
	{"0000000110", 12},
	{"0000001100", 13},
	{"0000011000", 14},
	{"0000110000", 15},
	{"0001100000", 16},
	{"0011000000", 17},
	{"0110000000", 18},
	{"1100000001", 19},
	{"1000000010", 20},
	{"0000000101", 21},
	{"0000001010", 22},
	{"0000010100", 23},
	{"0000101000", 24},
	{"0001010000", 25},
	{"0010100000", 26},
	{"0101000000", 27},
	{"1010000000", 28},
	{"0100000001", 29},
	{"1000000011", 30},
	{"0000000111", 31},
	{"0000001110", 32},
	{"0000011100", 33},
	{"0000111000", 34},
	{"0001110000", 35},
	{"0011100000", 36},
	{"0111000000", 37},
	{"1110000001", 38},
	{"1100000010", 39},
	{"1000000100", 40},
	{"0000001001", 41},
	{"0000010010", 42},
	{"0000100100", 43},
	{"0001001000", 44},
	{"0010010000", 45},
	{"0100100000", 46},
	{"1001000000", 47},
	{"0010000001", 48},
	{"0100000010", 49},
	{"1000000101", 50},
	{"0000001011", 51},
	{"0000010110", 52},
	{"0000101100", 53},
	{"0001011000", 54},
	{"0010110000", 55},
	{"0101100000", 56},
	{"1011000000", 57},
	{"0110000001", 58},
	{"1100000011", 59},
	{"1000000110", 60},
	{"0000001101", 61},
	{"0000011010", 62},
	{"0000110100", 63},
	{"0001101000", 64},
	{"0011010000", 65},
	{"0110100000", 66},
	{"1101000000", 67},
	{"1010000001", 68},
	{"0100000011", 69},
	{"1000000111", 70},
	{"0000001111", 71},
	{"0000011110", 72},
	{"0000111100", 73},
	{"0001111000", 74},
	{"0011110000", 75},
	{"0111100000", 76},
	{"1111000001", 77},
	{"1110000010", 78},
	{"1100000100", 79},
	{"1000001000", 80},
	{"0000010001", 81},
	{"0000100010", 82},
	{"0001000100", 83},
	{"0010001000", 84},
	{"0100010000", 85},
	{"1000100000", 86},
	{"0001000001", 87},
	{"0010000010", 88},
	{"0100000100", 89},
	{"1000001001", 90},
	{"0000010011", 91},
	{"0000100110", 92},
	{"0001001100", 93},
	{"0010011000", 94},
	{"0100110000", 95},
	{"1001100000", 96},
	{"0011000001", 97},
	{"0110000010", 98},
	{"1100000101", 99},
	{"1000001010", 100},
	{"0000010101", 101},
	{"0000101010", 102},
	{"0001010100", 103},
	{"0010101000", 104},
	{"0101010000", 105},
	{"1010100000", 106},
	{"0101000001", 107},
	{"1010000010", 108},
	{"0100000101", 109},
	{"1000001011", 110},
	{"0000010111", 111},
	{"0000101110", 112},
	{"0001011100", 113},
	{"0010111000", 114},
	{"0101110000", 115},
	{"1011100000", 116},
	{"0111000001", 117},
	{"1110000011", 118},
	{"1100000110", 119},
	{"1000001100", 120},
	{"0000011001", 121},
	{"0000110010", 122},
	{"0001100100", 123},
	{"0011001000", 124},
	{"0110010000", 125},
	{"1100100000", 126},
	{"1001000001", 127},
	{"0010000011", 128},
	{"0100000110", 129},
	{"1000001101", 130},
	{"0000011011", 131},
	{"0000110110", 132},
	{"0001101100", 133},
	{"0011011000", 134},
	{"0110110000", 135},
	{"1101100000", 136},
	{"1011000001", 137},
	{"0110000011", 138},
	{"1100000111", 139},
	{"1000001110", 140},
	{"0000011101", 141},
	{"0000111010", 142},
	{"0001110100", 143},
	{"0011101000", 144},
	{"0111010000", 145},
	{"1110100000", 146},
	{"1101000001", 147},
	{"1010000011", 148},
	{"0100000111", 149},
	{"1000001111", 150},
	{"0000011111", 151},
	{"0000111110", 152},
	{"0001111100", 153},
	{"0011111000", 154},
	{"0111110000", 155},
	{"1111100001", 156},
	{"1111000010", 157},
	{"1110000100", 158},
	{"1100001000", 159},
	{"1000010000", 160},
	{"0000100001", 161},
	{"0001000010", 162},
	{"0010000100", 163},
	{"0100001000", 164},
	{"1000010001", 165},
	{"0000100011", 166},
	{"0001000110", 167},
	{"0010001100", 168},
	{"0100011000", 169},
	{"1000110000", 170},
	{"0001100001", 171},
	{"0011000010", 172},
	{"0110000100", 173},
	{"1100001001", 174},
	{"1000010010", 175},
	{"0000100101", 176},
	{"0001001010", 177},
	{"0010010100", 178},
	{"0100101000", 179},
	{"1001010000", 180},
	{"0010100001", 181},
	{"0101000010", 182},
	{"1010000100", 183},
	{"0100001001", 184},
	{"1000010011", 185},
	{"0000100111", 186},
	{"0001001110", 187},
	{"0010011100", 188},
	{"0100111000", 189},
	{"1001110000", 190},
	{"0011100001", 191},
	{"0111000010", 192},
	{"1110000101", 193},
	{"1100001010", 194},
	{"1000010100", 195},
	{"0000101001", 196},
	{"0001010010", 197},
	{"0010100100", 198},
	{"0101001000", 199},
	{"1010010000", 200},
	{"0100100001", 201},
	{"1001000010", 202},
	{"0010000101", 203},
	{"0100001010", 204},
	{"1000010101", 205},
	{"0000101011", 206},
	{"0001010110", 207},
	{"0010101100", 208},
	{"0101011000", 209},
	{"1010110000", 210},
	{"0101100001", 211},
	{"1011000010", 212},
	{"0110000101", 213},
	{"1100001011", 214},
	{"1000010110", 215},
	{"0000101101", 216},
	{"0001011010", 217},
	{"0010110100", 218},
	{"0101101000", 219},
	{"1011010000", 220},
	{"0110100001", 221},
	{"1101000010", 222},
	{"1010000101", 223},
	{"0100001011", 224},
	{"1000010111", 225},
	{"0000101111", 226},
	{"0001011110", 227},
	{"0010111100", 228},
	{"0101111000", 229},
	{"1011110000", 230},
	{"0111100001", 231},
	{"1111000011", 232},
	{"1110000110", 233},
	{"1100001100", 234},
	{"1000011000", 235},
	{"0000110001", 236},
	{"0001100010", 237},
	{"0011000100", 238},
	{"0110001000", 239},
	{"1100010000", 240},
	{"1000100001", 241},
	{"0001000011", 242},
	{"0010000110", 243},
	{"0100001100", 244},
	{"1000011001", 245},
	{"0000110011", 246},
	{"0001100110", 247},
	{"0011001100", 248},
	{"0110011000", 249},
	{"1100110000", 250},
	{"1001100001", 251},
	{"0011000011", 252},
	{"0110000110", 253},
	{"1100001101", 254},
	{"1000011010", 255},
	{"0000110101", 256},
	{"0001101010", 257},
	{"0011010100", 258},
	{"0110101000", 259},
	{"1101010000", 260},
	{"1010100001", 261},
	{"0101000011", 262},
	{"1010000110", 263},
	{"0100001101", 264},
	{"1000011011", 265},
	{"0000110111", 266},
	{"0001101110", 267},
	{"0011011100", 268},
	{"0110111000", 269},
	{"1101110000", 270},
	{"1011100001", 271},
	{"0111000011", 272},
	{"1110000111", 273},
	{"1100001110", 274},
	{"1000011100", 275},
	{"0000111001", 276},
	{"0001110010", 277},
	{"0011100100", 278},
	{"0111001000", 279},
	{"1110010000", 280},
	{"1100100001", 281},
	{"1001000011", 282},
	{"0010000111", 283},
	{"0100001110", 284},
	{"1000011101", 285},
	{"0000111011", 286},
	{"0001110110", 287},
	{"0011101100", 288},
	{"0111011000", 289},
	{"1110110000", 290},
	{"1101100001", 291},
	{"1011000011", 292},
	{"0110000111", 293},
	{"1100001111", 294},
	{"1000011110", 295},
	{"0000111101", 296},
	{"0001111010", 297},
	{"0011110100", 298},
	{"0111101000", 299},
	{"1111010000", 300},
	{"1110100001", 301},
	{"1101000011", 302},
	{"1010000111", 303},
	{"0100001111", 304},
	{"1000011111", 305},
	{"0000111111", 306},
	{"0001111110", 307},
	{"0011111100", 308},
	{"0111111000", 309},
	{"1111110001", 310},
	{"1111100010", 311},
	{"1111000100", 312},
	{"1110001000", 313},
	{"1100010001", 314},
	{"1000100010", 315},
	{"0001000101", 316},
	{"0010001010", 317},
	{"0100010100", 318},
	{"1000101000", 319},
	{"0001010001", 320},
	{"0010100010", 321},
	{"0101000100", 322},
	{"1010001000", 323},
	{"0100010001", 324},
	{"1000100011", 325},
	{"0001000111", 326},
	{"0010001110", 327},
	{"0100011100", 328},
	{"1000111000", 329},
	{"0001110001", 330},
	{"0011100010", 331},
	{"0111000100", 332},
	{"1110001001", 333},
	{"1100010010", 334},
	{"1000100100", 335},
	{"0001001001", 336},
	{"0010010010", 337},
	{"0100100100", 338},
	{"1001001000", 339},
	{"0010010001", 340},
	{"0100100010", 341},
	{"1001000100", 342},
	{"0010001001", 343},
	{"0100010010", 344},
	{"1000100101", 345},
	{"0001001011", 346},
	{"0010010110", 347},
	{"0100101100", 348},
	{"1001011000", 349},
	{"0010110001", 350},
	{"0101100010", 351},
	{"1011000100", 352},
	{"0110001001", 353},
	{"1100010011", 354},
	{"1000100110", 355},
	{"0001001101", 356},
	{"0010011010", 357},
	{"0100110100", 358},
	{"1001101000", 359},
	{"0011010001", 360},
	{"0110100010", 361},
	{"1101000100", 362},
	{"1010001001", 363},
	{"0100010011", 364},
	{"1000100111", 365},
	{"0001001111", 366},
	{"0010011110", 367},
	{"0100111100", 368},
	{"1001111000", 369},
	{"0011110001", 370},
	{"0111100010", 371},
	{"1111000101", 372},
	{"1110001010", 373},
	{"1100010100", 374},
	{"1000101001", 375},
	{"0001010011", 376},
	{"0010100110", 377},
	{"0101001100", 378},
	{"1010011000", 379},
	{"0100110001", 380},
	{"1001100010", 381},
	{"0011000101", 382},
	{"0110001010", 383},
	{"1100010101", 384},
	{"1000101010", 385},
	{"0001010101", 386},
	{"0010101010", 387},
	{"0101010100", 388},
	{"1010101000", 389},
	{"0101010001", 390},
	{"1010100010", 391},
	{"0101000101", 392},
	{"1010001010", 393},
	{"0100010101", 394},
	{"1000101011", 395},
	{"0001010111", 396},
	{"0010101110", 397},
	{"0101011100", 398},
	{"1010111000", 399},
	{"0101110001", 400},
	{"1011100010", 401},
	{"0111000101", 402},
	{"1110001011", 403},
	{"1100010110", 404},
	{"1000101100", 405},
	{"0001011001", 406},
	{"0010110010", 407},
	{"0101100100", 408},
	{"1011001000", 409},
	{"0110010001", 410},
	{"1100100010", 411},
	{"1001000101", 412},
	{"0010001011", 413},
	{"0100010110", 414},
	{"1000101101", 415},
	{"0001011011", 416},
	{"0010110110", 417},
	{"0101101100", 418},
	{"1011011000", 419},
	{"0110110001", 420},
	{"1101100010", 421},
	{"1011000101", 422},
	{"0110001011", 423},
	{"1100010111", 424},
	{"1000101110", 425},
	{"0001011101", 426},
	{"0010111010", 427},
	{"0101110100", 428},
	{"1011101000", 429},
	{"0111010001", 430},
	{"1110100010", 431},
	{"1101000101", 432},
	{"1010001011", 433},
	{"0100010111", 434},
	{"1000101111", 435},
	{"0001011111", 436},
	{"0010111110", 437},
	{"0101111100", 438},
	{"1011111000", 439},
	{"0111110001", 440},
	{"1111100011", 441},
	{"1111000110", 442},
	{"1110001100", 443},
	{"1100011000", 444},
	{"1000110001", 445},
	{"0001100011", 446},
	{"0011000110", 447},
	{"0110001100", 448},
	{"1100011001", 449},
	{"1000110010", 450},
	{"0001100101", 451},
	{"0011001010", 452},
	{"0110010100", 453},
	{"1100101000", 454},
	{"1001010001", 455},
	{"0010100011", 456},
	{"0101000110", 457},
	{"1010001100", 458},
	{"0100011001", 459},
	{"1000110011", 460},
	{"0001100111", 461},
	{"0011001110", 462},
	{"0110011100", 463},
	{"1100111000", 464},
	{"1001110001", 465},
	{"0011100011", 466},
	{"0111000110", 467},
	{"1110001101", 468},
	{"1100011010", 469},
	{"1000110100", 470},
	{"0001101001", 471},
	{"0011010010", 472},
	{"0110100100", 473},
	{"1101001000", 474},
	{"1010010001", 475},
	{"0100100011", 476},
	{"1001000110", 477},
	{"0010001101", 478},
	{"0100011010", 479},
	{"1000110101", 480},
	{"0001101011", 481},
	{"0011010110", 482},
	{"0110101100", 483},
	{"1101011000", 484},
	{"1010110001", 485},
	{"0101100011", 486},
	{"1011000110", 487},
	{"0110001101", 488},
	{"1100011011", 489},
	{"1000110110", 490},
	{"0001101101", 491},
	{"0011011010", 492},
	{"0110110100", 493},
	{"1101101000", 494},
	{"1011010001", 495},
	{"0110100011", 496},
	{"1101000110", 497},
	{"1010001101", 498},
	{"0100011011", 499},
	{"1000110111", 500},
	{"0001101111", 501},
	{"0011011110", 502},
	{"0110111100", 503},
	{"1101111000", 504},
	{"1011110001", 505},
	{"0111100011", 506},
	{"1111000111", 507},
	{"1110001110", 508},
	{"1100011100", 509},
	{"1000111001", 510},
	{"0001110011", 511},
	{"0011100110", 512},
	{"0111001100", 513},
	{"1110011000", 514},
	{"1100110001", 515},
	{"1001100011", 516},
	{"0011000111", 517},
	{"0110001110", 518},
	{"1100011101", 519},
	{"1000111010", 520},
	{"0001110101", 521},
	{"0011101010", 522},
	{"0111010100", 523},
	{"1110101000", 524},
	{"1101010001", 525},
	{"1010100011", 526},
	{"0101000111", 527},
	{"1010001110", 528},
	{"0100011101", 529},
	{"1000111011", 530},
	{"0001110111", 531},
	{"0011101110", 532},
	{"0111011100", 533},
	{"1110111000", 534},
	{"1101110001", 535},
	{"1011100011", 536},
	{"0111000111", 537},
	{"1110001111", 538},
	{"1100011110", 539},
	{"1000111100", 540},
	{"0001111001", 541},
	{"0011110010", 542},
	{"0111100100", 543},
	{"1111001000", 544},
	{"1110010001", 545},
	{"1100100011", 546},
	{"1001000111", 547},
	{"0010001111", 548},
	{"0100011110", 549},
	{"1000111101", 550},
	{"0001111011", 551},
	{"0011110110", 552},
	{"0111101100", 553},
	{"1111011000", 554},
	{"1110110001", 555},
	{"1101100011", 556},
	{"1011000111", 557},
	{"0110001111", 558},
	{"1100011111", 559},
	{"1000111110", 560},
	{"0001111101", 561},
	{"0011111010", 562},
	{"0111110100", 563},
	{"1111101000", 564},
	{"1111010001", 565},
	{"1110100011", 566},
	{"1101000111", 567},
	{"1010001111", 568},
	{"0100011111", 569},
	{"1000111111", 570},
	{"0001111111", 571},
	{"0011111110", 572},
	{"0111111100", 573},
	{"1111111001", 574},
	{"1111110010", 575},
	{"1111100100", 576},
	{"1111001001", 577},
	{"1110010010", 578},
	{"1100100100", 579},
	{"1001001001", 580},
	{"0010010011", 581},
	{"0100100110", 582},
	{"1001001100", 583},
	{"0010011001", 584},
	{"0100110010", 585},
	{"1001100100", 586},
	{"0011001001", 587},
	{"0110010010", 588},
	{"1100100101", 589},
	{"1001001010", 590},
	{"0010010101", 591},
	{"0100101010", 592},
	{"1001010100", 593},
	{"0010101001", 594},
	{"0101010010", 595},
	{"1010100100", 596},
	{"0101001001", 597},
	{"1010010010", 598},
	{"0100100101", 599},
	{"1001001011", 600},
	{"0010010111", 601},
	{"0100101110", 602},
	{"1001011100", 603},
	{"0010111001", 604},
	{"0101110010", 605},
	{"1011100100", 606},
	{"0111001001", 607},
	{"1110010011", 608},
	{"1100100110", 609},
	{"1001001101", 610},
	{"0010011011", 611},
	{"0100110110", 612},
	{"1001101100", 613},
	{"0011011001", 614},
	{"0110110010", 615},
	{"1101100100", 616},
	{"1011001001", 617},
	{"0110010011", 618},
	{"1100100111", 619},
	{"1001001110", 620},
	{"0010011101", 621},
	{"0100111010", 622},
	{"1001110100", 623},
	{"0011101001", 624},
	{"0111010010", 625},
	{"1110100100", 626},
	{"1101001001", 627},
	{"1010010011", 628},
	{"0100100111", 629},
	{"1001001111", 630},
	{"0010011111", 631},
	{"0100111110", 632},
	{"1001111100", 633},
	{"0011111001", 634},
	{"0111110010", 635},
	{"1111100101", 636},
	{"1111001010", 637},
	{"1110010100", 638},
	{"1100101001", 639},
	{"1001010010", 640},
	{"0010100101", 641},
	{"0101001010", 642},
	{"1010010100", 643},
	{"0100101001", 644},
	{"1001010011", 645},
	{"0010100111", 646},
	{"0101001110", 647},
	{"1010011100", 648},
	{"0100111001", 649},
	{"1001110010", 650},
	{"0011100101", 651},
	{"0111001010", 652},
	{"1110010101", 653},
	{"1100101010", 654},
	{"1001010101", 655},
	{"0010101011", 656},
	{"0101010110", 657},
	{"1010101100", 658},
	{"0101011001", 659},
	{"1010110010", 660},
	{"0101100101", 661},
	{"1011001010", 662},
	{"0110010101", 663},
	{"1100101011", 664},
	{"1001010110", 665},
	{"0010101101", 666},
	{"0101011010", 667},
	{"1010110100", 668},
	{"0101101001", 669},
	{"1011010010", 670},
	{"0110100101", 671},
	{"1101001010", 672},
	{"1010010101", 673},
	{"0100101011", 674},
	{"1001010111", 675},
	{"0010101111", 676},
	{"0101011110", 677},
	{"1010111100", 678},
	{"0101111001", 679},
	{"1011110010", 680},
	{"0111100101", 681},
	{"1111001011", 682},
	{"1110010110", 683},
	{"1100101100", 684},
	{"1001011001", 685},
	{"0010110011", 686},
	{"0101100110", 687},
	{"1011001100", 688},
	{"0110011001", 689},
	{"1100110010", 690},
	{"1001100101", 691},
	{"0011001011", 692},
	{"0110010110", 693},
	{"1100101101", 694},
	{"1001011010", 695},
	{"0010110101", 696},
	{"0101101010", 697},
	{"1011010100", 698},
	{"0110101001", 699},
	{"1101010010", 700},
	{"1010100101", 701},
	{"0101001011", 702},
	{"1010010110", 703},
	{"0100101101", 704},
	{"1001011011", 705},
	{"0010110111", 706},
	{"0101101110", 707},
	{"1011011100", 708},
	{"0110111001", 709},
	{"1101110010", 710},
	{"1011100101", 711},
	{"0111001011", 712},
	{"1110010111", 713},
	{"1100101110", 714},
	{"1001011101", 715},
	{"0010111011", 716},
	{"0101110110", 717},
	{"1011101100", 718},
	{"0111011001", 719},
	{"1110110010", 720},
	{"1101100101", 721},
	{"1011001011", 722},
	{"0110010111", 723},
	{"1100101111", 724},
	{"1001011110", 725},
	{"0010111101", 726},
	{"0101111010", 727},
	{"1011110100", 728},
	{"0111101001", 729},
	{"1111010010", 730},
	{"1110100101", 731},
	{"1101001011", 732},
	{"1010010111", 733},
	{"0100101111", 734},
	{"1001011111", 735},
	{"0010111111", 736},
	{"0101111110", 737},
	{"1011111100", 738},
	{"0111111001", 739},
	{"1111110011", 740},
	{"1111100110", 741},
	{"1111001100", 742},
	{"1110011001", 743},
	{"1100110011", 744},
	{"1001100110", 745},
	{"0011001101", 746},
	{"0110011010", 747},
	{"1100110100", 748},
	{"1001101001", 749},
	{"0011010011", 750},
	{"0110100110", 751},
	{"1101001100", 752},
	{"1010011001", 753},
	{"0100110011", 754},
	{"1001100111", 755},
	{"0011001111", 756},
	{"0110011110", 757},
	{"1100111100", 758},
	{"1001111001", 759},
	{"0011110011", 760},
	{"0111100110", 761},
	{"1111001101", 762},
	{"1110011010", 763},
	{"1100110101", 764},
	{"1001101010", 765},
	{"0011010101", 766},
	{"0110101010", 767},
	{"1101010100", 768},
	{"1010101001", 769},
	{"0101010011", 770},
	{"1010100110", 771},
	{"0101001101", 772},
	{"1010011010", 773},
	{"0100110101", 774},
	{"1001101011", 775},
	{"0011010111", 776},
	{"0110101110", 777},
	{"1101011100", 778},
	{"1010111001", 779},
	{"0101110011", 780},
	{"1011100110", 781},
	{"0111001101", 782},
	{"1110011011", 783},
	{"1100110110", 784},
	{"1001101101", 785},
	{"0011011011", 786},
	{"0110110110", 787},
	{"1101101100", 788},
	{"1011011001", 789},
	{"0110110011", 790},
	{"1101100110", 791},
	{"1011001101", 792},
	{"0110011011", 793},
	{"1100110111", 794},
	{"1001101110", 795},
	{"0011011101", 796},
	{"0110111010", 797},
	{"1101110100", 798},
	{"1011101001", 799},
	{"0111010011", 800},
	{"1110100110", 801},
	{"1101001101", 802},
	{"1010011011", 803},
	{"0100110111", 804},
	{"1001101111", 805},
	{"0011011111", 806},
	{"0110111110", 807},
	{"1101111100", 808},
	{"1011111001", 809},
	{"0111110011", 810},
	{"1111100111", 811},
	{"1111001110", 812},
	{"1110011100", 813},
	{"1100111001", 814},
	{"1001110011", 815},
	{"0011100111", 816},
	{"0111001110", 817},
	{"1110011101", 818},
	{"1100111010", 819},
	{"1001110101", 820},
	{"0011101011", 821},
	{"0111010110", 822},
	{"1110101100", 823},
	{"1101011001", 824},
	{"1010110011", 825},
	{"0101100111", 826},
	{"1011001110", 827},
	{"0110011101", 828},
	{"1100111011", 829},
	{"1001110110", 830},
	{"0011101101", 831},
	{"0111011010", 832},
	{"1110110100", 833},
	{"1101101001", 834},
	{"1011010011", 835},
	{"0110100111", 836},
	{"1101001110", 837},
	{"1010011101", 838},
	{"0100111011", 839},
	{"1001110111", 840},
	{"0011101111", 841},
	{"0111011110", 842},
	{"1110111100", 843},
	{"1101111001", 844},
	{"1011110011", 845},
	{"0111100111", 846},
	{"1111001111", 847},
	{"1110011110", 848},
	{"1100111101", 849},
	{"1001111010", 850},
	{"0011110101", 851},
	{"0111101010", 852},
	{"1111010100", 853},
	{"1110101001", 854},
	{"1101010011", 855},
	{"1010100111", 856},
	{"0101001111", 857},
	{"1010011110", 858},
	{"0100111101", 859},
	{"1001111011", 860},
	{"0011110111", 861},
	{"0111101110", 862},
	{"1111011100", 863},
	{"1110111001", 864},
	{"1101110011", 865},
	{"1011100111", 866},
	{"0111001111", 867},
	{"1110011111", 868},
	{"1100111110", 869},
	{"1001111101", 870},
	{"0011111011", 871},
	{"0111110110", 872},
	{"1111101100", 873},
	{"1111011001", 874},
	{"1110110011", 875},
	{"1101100111", 876},
	{"1011001111", 877},
	{"0110011111", 878},
	{"1100111111", 879},
	{"1001111110", 880},
	{"0011111101", 881},
	{"0111111010", 882},
	{"1111110100", 883},
	{"1111101001", 884},
	{"1111010011", 885},
	{"1110100111", 886},
	{"1101001111", 887},
	{"1010011111", 888},
	{"0100111111", 889},
	{"1001111111", 890},
	{"0011111111", 891},
	{"0111111110", 892},
	{"1111111101", 893},
	{"1111111010", 894},
	{"1111110101", 895},
	{"1111101010", 896},
	{"1111010101", 897},
	{"1110101010", 898},
	{"1101010101", 899},
	{"1010101010", 900},
	{"0101010101", 901},
	{"1010101011", 902},
	{"0101010111", 903},
	{"1010101110", 904},
	{"0101011101", 905},
	{"1010111010", 906},
	{"0101110101", 907},
	{"1011101010", 908},
	{"0111010101", 909},
	{"1110101011", 910},
	{"1101010110", 911},
	{"1010101101", 912},
	{"0101011011", 913},
	{"1010110110", 914},
	{"0101101101", 915},
	{"1011011010", 916},
	{"0110110101", 917},
	{"1101101010", 918},
	{"1011010101", 919},
	{"0110101011", 920},
	{"1101010111", 921},
	{"1010101111", 922},
	{"0101011111", 923},
	{"1010111110", 924},
	{"0101111101", 925},
	{"1011111010", 926},
	{"0111110101", 927},
	{"1111101011", 928},
	{"1111010110", 929},
	{"1110101101", 930},
	{"1101011010", 931},
	{"1010110101", 932},
	{"0101101011", 933},
	{"1011010110", 934},
	{"0110101101", 935},
	{"1101011011", 936},
	{"1010110111", 937},
	{"0101101111", 938},
	{"1011011110", 939},
	{"0110111101", 940},
	{"1101111010", 941},
	{"1011110101", 942},
	{"0111101011", 943},
	{"1111010111", 944},
	{"1110101110", 945},
	{"1101011101", 946},
	{"1010111011", 947},
	{"0101110111", 948},
	{"1011101110", 949},
	{"0111011101", 950},
	{"1110111010", 951},
	{"1101110101", 952},
	{"1011101011", 953},
	{"0111010111", 954},
	{"1110101111", 955},
	{"1101011110", 956},
	{"1010111101", 957},
	{"0101111011", 958},
	{"1011110110", 959},
	{"0111101101", 960},
	{"1111011010", 961},
	{"1110110101", 962},
	{"1101101011", 963},
	{"1011010111", 964},
	{"0110101111", 965},
	{"1101011111", 966},
	{"1010111111", 967},
	{"0101111111", 968},
	{"1011111110", 969},
	{"0111111101", 970},
	{"1111111011", 971},
	{"1111110110", 972},
	{"1111101101", 973},
	{"1111011011", 974},
	{"1110110110", 975},
	{"1101101101", 976},
	{"1011011011", 977},
	{"0110110111", 978},
	{"1101101110", 979},
	{"1011011101", 980},
	{"0110111011", 981},
	{"1101110110", 982},
	{"1011101101", 983},
	{"0111011011", 984},
	{"1110110111", 985},
	{"1101101111", 986},
	{"1011011111", 987},
	{"0110111111", 988},
	{"1101111110", 989},
	{"1011111101", 990},
	{"0111111011", 991},
	{"1111110111", 992},
	{"1111101110", 993},
	{"1111011101", 994},
	{"1110111011", 995},
	{"1101110111", 996},
	{"1011101111", 997},
	{"0111011111", 998},
	{"1110111110", 999}
};
vi paint(int n) {
	vi labels(n+1, 0);
	labels.back() = k;
    
	for (int i = 0; i < n; i++){
        if (i%10 == 0){
            for (int j = i; j < min(i+10, n); j++){
                labels.at(j) = ind_to_vb.at(i).at(j-i)-'0';
            }
        }
    }
    return labels;
}
int find_location(int n, vi c) {
    // assert((int)c.size() == k); //////////////////////
	if (find(all(c), -1) != c.end()){
		return n-(find(all(c), -1)-c.begin());
	}
    str curr;
    for (auto &i:c){
        curr.push_back(i+'0');
    }
    return vb_to_int.at(curr);
}
/*
static int max_k = 0;
static int r, n, k_, q, x;
static std::vector<int> labels, c, answers;
int main() {
	assert(scanf("%d", &r) == 1);
	for (int tc = 0; tc < r; tc++) {
		assert(scanf("%d%d", &n, &q) == 2);
		labels = paint(n);
		if ((int)labels.size() != n + 1) {
			printf("Number of labels not equal to %d\n", n + 1);
			exit(0);
		}
		for (int i = 0; i < n; i++) {
			if (labels[i] != 0 && labels[i] != 1) {
				printf("Label not 0 or 1\n");
				exit(0);
			}
		}
		k_ = labels[n];
		if (k_ < 0 || k_ > 1000) {
			printf("Label not in range 0 to 1000\n");
			exit(0);
		}
		if (k > max_k) {
			max_k = k_;
		}
		for (int i = 0; i < q; i++) {
			assert(scanf("%d", &x) == 1);
			c.clear();
			
			for (int j = x; j < x + k_; j++) {
				if (j >= n) {
					c.push_back(-1);
				} else {
					c.push_back(labels[j]);
				}
			}
			answers.push_back(find_location(n, c));
			printf("x: %d\n", x);
			assert(answers.back() == x);
		}
	}
	printf("%d\n", max_k);
	for (int ans : answers) {
		printf("%d\n", ans);
	}
	exit(0);
}
*/
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