uva12545 Bits Equalizer

时间:2022-05-01 05:01:33

uva12545 Bits Equalizer

You are given two non-empty strings S and T of equal lengths. S contains the characters `0', `1' and `?', whereas T contains `0' and `1' only. Your task is to convert S into T in minimum number of moves. In each move, you can

  1. change a `0' in S to `1'
  2. change a `?' in S to `0' or `1'
  3. swap any two characters in S

As an example, suppose S = "01??00" and T = "001010". We can transform S into T in 3 moves:

  • Initially S = "01??00"
  • - Move 1: change S[2] to `1'. S becomes "011?00"
  • - Move 2: change S[3] to `0'. S becomes "011000"
  • - Move 3: swap S[1] with S[4]. S becomes "001010"
  • S is now equal to T

Input

The first line of input is an integer C (Cuva12545 Bits Equalizer200) that indicates the number of test cases. Each case consists of two lines. The first line is the string S consisting of `0', `1' and `?'. The second line is the string T consisting of `0' and `1'. The lengths of the strings won't be larger than 100.

Output

For each case, output the case number first followed by the minimum number of moves required to convert S into T. If the transition is impossible,output `-1' instead.

Sample Input

3
01??00
001010
01
10
110001
000000

Sample Output

Case 1: 3
Case 2: 1
Case 3: -1

这个题目用到的是统计的思想,不用真正的去变字符串里字符的位置,只需要统计哪几个要变动就OK。

#include <algorithm>
#include <iostream>
#include <cstdio>
#include <cstring>
using namespace std;
const int MAXN = ;
int num[];
char S[MAXN], T[MAXN];
int solve(int len)
{
memset(num, , sizeof(num));
for(int i = ; i < len; ++i)
{
if(S[i] == '' && T[i] == '' ) num[]++;
else if(S[i] == '' && T[i] == '') num[]++;
else if(S[i] == '?' && T[i] == '') num[]++;
else if(S[i] == '?' && T[i] == '') num[]++;
} int ans = min(num[], num[]);
if(num[] >= num[])
{
num[] -= ans;
if(num[] - num[] >= )
{
ans += *num[];
ans += num[] + num[] - num[];
}
else
{
ans += *num[];
ans += num[] + num[] - num[];
}
}
else if(num[] < num[])
{
num[] -= ans;
if(num[] - num[] >= )
{
ans += *num[];
ans += num[] + num[] - num[];
}
}
return ans;
}
int main()
{
int Tcase, ans;
int tag1, tag2; scanf("%d%*c", &Tcase);
for(int t = ; t <= Tcase; ++t)
{
tag1 = , tag2 = ;
ans = ;
gets(S);
gets(T);
int len = strlen(S); for(int i = ; i < len; ++i)
{
if(S[i] == '') tag1++;
if(T[i] == '') tag2++;
}
if(tag1 > tag2 )
printf("Case %d: %d\n", t, -);
else
{
printf("Case %d: %d\n", t, solve(len));
}
}
return ;
}