Charges solution codechef
There aresubatomic particles lined up in a row. There are two types: protons and electrons. Protons have a positive charge and are represented by , while electrons have a negative charge and are represented by .
Our current understanding of physics gives us a way to predict how the particles will be spaced out, if we know their charges. Two adjacent particles will be separated byunit if they have opposite charges, and units if they have the same charge.
When Chef is not in the kitchen, he is doing physics experiments on subatomic particles. He is testing the hypothesis by havingparticles in a row, and he will change the charge of a particle times. In the -th update, he will change the charge of the -th particle. After each update, find the distance between the first and last particle.
Note: Each update is persistent for further updates.
Input Charges solution codechef
- The first line contains an integer , the number of test cases. Then the test cases follow.
- Each test case contains three lines of input.
- The first line contains two integers , .
- The second line contains a string of length , where represents the initial charge on -th particle.
- The third line contains integers , the positions of the changed particles.
Output Charges solution codechef
For each test case, outputlines, where the -th line contains the answer after the updates have been made.
Constraints Charges solution codechef
- contains only and characters.
- The sum of over all testcases is at most
Subtasks Charges solution codechef
Subtask #1 (100 points): original constraints
Sample Input Charges solution codechef
1 3 3 010 2 1 3
Sample Output Charges solution codechef
4 3 2
Explanation Charges solution codechef
Update 1: After reversing the parity of particle, the new configuration is . Since all the particles have a similar charge, each is separated from the previous by a distance of units. So the location of particle is units from the first particle.
Update 2: After reversing the parity of particle, the new configuration is . Here, the charges of particles and differ, so they are separated by unit. The charges of particles and agree, so they are separated by units. So, the location of particle is units from the first particle.
Update 3: After reversing the charge of particle, the new configuration is . Here, particles and are separated by unit and particles and are separated by unit. So the location of particle is units from the first particle.
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