Problem Statement

In the Kingdom of AtCoder, residents are required to shout their love for takoyaki at A o'clock every day.

Takahashi, who lives in the Kingdom of AtCoder, goes to bed at B o'clock and wakes up at C o'clock every day (in the 24-hour clock). He can shout his love for takoyaki when he is awake, but cannot when he is asleep. Determine whether he can shout his love for takoyaki every day. Here, a day has 24 hours, and his sleeping time is less than 24 hours.

Constraints

• 0\leq A,B,C\lt 24
• A, B, and C are pairwise different.
• All input values are integers.

Sample Input 1

21 8 14

Sample Output 1

Yes

Takahashi goes to bed at 8 o'clock and wakes up at 14 o'clock every day. He is awake at 21 o'clock, so he can shout his love for takoyaki every day. Therefore, print Yes.

Sample Input 2

0 21 7

Sample Output 2

No

Takahashi goes to bed at 21 o'clock and wakes up at 7 o'clock every day. He is not awake at 0 o'clock, so he cannot shout his love for takoyaki every day. Therefore, print No.

Sample Input 3

10 7 17

Sample Output 3

No

Problem Statement

You are given an integer N at least 100. Print the last two digits of N.

Strictly speaking, print the tens and ones digits of N in this order.

Constraints

• 100 \le N \le 999
• N is an integer.

Sample Input 1

254

Sample Output 1

54

The last two digits of 254 are 54, which should be printed.

Sample Input 2

101

Sample Output 2

01

The last two digits of 101 are 01, which should be printed.

Problem Statement

N students took an exam. The students are labeled as Student 1, Student 2, \dots, Student N, and Student i scored a_i points.

A student who scored less than P points are considered to have failed the exam and cannot earn the credit. Find the number of students who failed the exam.

Constraints

• 1 \leq N \leq 10^5
• 1 \leq P \leq 100
• 0 \leq a_i \leq 100 (1 \leq i \leq N)
• All values in input are integers.

Sample Input 1

4 50
80 60 40 0

Sample Output 1

2

Students 1 and 2, who scored 80 and 60 points, respectively, succeeded in scoring at least 50 points to earn the credit.
On the other hand, Students 3 and 4, who scored 40 and 0 points, respectively, fell below 50 points and failed the exam. Thus, the answer is 2.

Sample Input 2

3 90
89 89 89

Sample Output 2

3

Sample Input 3

2 22
6 37

Sample Output 3

1

Problem Statement

There is a grid with H rows and W columns. Let (i, j) denote the cell at the i-th row from the top and j-th column from the left.

Cell (i, j) is empty if C_{i, j} is ., and not empty if C_{i, j} is #.

Takahashi is currently at cell (S_i, S_j), and he will act according to the following rules for i = 1, 2, \ldots, |X| in order.

• If the i-th character of X is L, and the cell to the left of his current cell exists and is empty, he moves to the cell to the left. Otherwise, he stays in the current cell.
• If the i-th character of X is R, and the cell to the right of his current cell exists and is empty, he moves to the cell to the right. Otherwise, he stays in the current cell.
• If the i-th character of X is U, and the cell above his current cell exists and is empty, he moves to the cell above. Otherwise, he stays in the current cell.
• If the i-th character of X is D, and the cell below his current cell exists and is empty, he moves to the cell below. Otherwise, he stays in the current cell.

Print the cell where he is after completing the series of actions.

Constraints

• 1 \leq H, W \leq 50
• 1 \leq S_i \leq H
• 1 \leq S_j \leq W
• H, W, S_i, S_j are integers.
• C_{i, j} is . or #.
• C_{S_i, S_j} = .
• X is a string of length between 1 and 50, inclusive, consisting of L, R, U, D.

Sample Input 1

2 3
2 1
.#.
...
ULDRU

Sample Output 1

2 2

Takahashi starts at cell (2, 1). His series of actions are as follows:

• The 1st character of X is U, and the cell above (2, 1) exists and is an empty cell, so he moves to the cell above, which is (1, 1).
• The 2nd character of X is L, and the cell to the left of (1, 1) does not exist, so he stays at (1, 1).
• The 3rd character of X is D, and the cell below (1, 1) exists and is an empty cell, so he moves to the cell below, which is (2, 1).
• The 4th character of X is R, and the cell to the right of (2, 1) exists and is an empty cell, so he moves to the cell to the right, which is (2, 2).
• The 5th character of X is U, and the cell above (2, 2) exists but is not an empty cell, so he stays at (2, 2).

Therefore, after completing the series of actions, he is at cell (2, 2).

Sample Input 2

4 4
4 2
....
.#..
...#
....
DUUUURULRD

Sample Output 2

2 4

Sample Input 3

6 6
1 1
.#####
######
######
######
######
######
RURLDLULLRULRDL

Sample Output 3

1 1

Problem Statement

There is an N \times N grid, where the cell at the i-th row from the top and the j-th column from the left contains the integer N \times (i-1) + j.

Over T turns, integers will be announced. On Turn i, the integer A_i is announced, and the cell containing A_i is marked. Determine the turn on which Bingo is achieved for the first time. If Bingo is not achieved within T turns, print -1.

Here, achieving Bingo means satisfying at least one of the following conditions:

• There exists a row in which all N cells are marked.
• There exists a column in which all N cells are marked.
• There exists a diagonal line (from top-left to bottom-right or from top-right to bottom-left) in which all N cells are marked.

Constraints

• 2 \leq N \leq 2 \times 10^3
• 1 \leq T \leq \min(N^2, 2 \times 10^5)
• 1 \leq A_i \leq N^2
• A_i \neq A_j if i \neq j.
• All input values are integers.

Sample Input 1

3 5
5 1 8 9 7

Sample Output 1

4

The state of the grid changes as follows. Bingo is achieved for the first time on Turn 4.

Sample Input 2

3 5
4 2 9 7 5

Sample Output 2

-1

Bingo is not achieved within five turns, so print -1.

Sample Input 3

4 12
13 9 6 5 2 7 16 14 8 3 10 11

Sample Output 3

9