Problems > Plausible Stack Story

Plausible Stack Story

Difficulty: 1500 3500 ms 128 MB

stack

Values 1..N are pushed onto a stack in the given push order; pops may happen at any time. Could the given pop order have occurred?

Input: the first line has N; the second line has the push order; the third line has the claimed pop order.

Output: YES or NO.

Constraints:

  • 1 ≤ N ≤ 105
  • both lines are permutations of 1..N

Sample Tests

Input 1
5
1 2 3 4 5
4 5 3 2 1
Output 1
YES
Input 2
3
1 2 3
3 1 2
Output 2
NO

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