[USACO 2010 Mar B]MasterMind
时间限制:C/C++/Rust/Pascal 1秒,其他语言2秒
空间限制:C/C++/Rust/Pascal 32 M,其他语言64 M
64bit IO Format: %lld

题目描述

Jessie was learning about programming contests at Bessie's knee.
"Do they play games?" she asked.
"Oh yes," Bessie nodded sagely. "Here's a classic."
MasterMind is a classic two player game. One of the players is the 'codemaker'; she picks a four digit secret number S (1000 <= S <= 9999). The other player is the 'codebreaker' who repeatedly guesses four digit numbers until she solves the code.
The codemaker provides feedback that comprises two integers for each codebreaker guess G_i (1000 <= G_i <= 9999). For each codebreaker guess, the codemaker's feedback comprises two integers:
* The first integer C_i (0 <= C_i <= 4) specifies how many of the guess's digits are correct and in their correct location in the secret number
* The second integer W_i (0 <= W_i <= 4-C_i) specifies how many of the remaining digits (i.e., those not described by C_i) are correct but in the wrong location.
For example, suppose codemaker's secret number is 2351. If codebreaker guesses 1350, the codemaker provides the feedback "2 1", since 3 and 5 are in correct locations in the number, and 1 is in the wrong location. As another example, if the secret number is 11223 (in a five-digit version of mastermind) and the guess is 12322, then the feedback would be "2 2".
Below is a sample game where the secret number is 2351:
        Correct digits in correct location
        | Correct digits in wrong location
Guess   | |
3157    1 2
1350    2 1 6120    0 2
2381    3 0
2351    4 0
For this task, you are given N (1 <= N <= 100) guesses with their feedback in the middle of a game. You are asked to output the smallest four digit number which can be a candidate for codemaker's secret code (i.e., which satisfies all the constraints).
If there are no such numbers, output "NONE" (without the quotes).

输入描述:

* Line 1: A single integer: N
* Lines 2..N+1: Line i+1 contains guess i and its two responses expressed as three space-separated integers: G_i, C_i, and W_i

输出描述:

* Line 1: A single integer that is the smallest four-digit number (same range as the secret integer: 1000..9999) which could be the secret code. If there are no such numbers, output a single line containing the word "NONE" (without quotes).
示例1

输入

复制
4
3157 1 2
1350 2 1
6120 0 2
2381 3 0

输出

复制
2351