A. Vladik and Courtesy

2 seconds

256 megabytes

 

At regular competition Vladik and Valera won a and b candies respectively. Vladik offered 1 his candy to Valera. After that Valera gave Vladik 2 his candies, so that no one thought that he was less generous. Vladik for same reason gave 3 candies to Valera in next turn.

More formally, the guys take turns giving each other one candy more than they received in the previous turn.

This continued until the moment when one of them couldn’t give the right amount of candy. Candies, which guys got from each other, theydon’t consider as their own. You need to know, who is the first who can’t give the right amount of candy.

Input

Single line of input data contains two space-separated integers a, b (1 ≤ a, b ≤ 109) — number of Vladik and Valera candies respectively.

Output

Pring a single line "Vladik’’ in case, if Vladik first who can’t give right amount of candy, or "Valera’’ otherwise.

 

input

1 1

output

Valera

input

7 6

output

Vladik

Note：

Illustration for first test case:

Illustration for second test case:

题目大意：

　　　　　Vladik and Valera 各有a块和b块糖，他两个轮流送给对方糖果，Vladik and Valera 1块、

　　　　　Valera送给Vladik 2块、Vladik and Valera 3块....直到有一方无法送出相应的糖果时结束。

　　　　　输出对应的人名。

解题思路：暴力模拟即可。

1 #include 
       
         2 int main () 3 { 4     int a,b; 5     while (~scanf("%d%d",&a,&b)) 6     { 7         for (int i = 1;a>=0&&b>=0; i ++) 8         { 9             if (i%2) a-= i;10             else b -= i;11         }12         if (a < 0)13             printf("Vladik\n");14         else15             printf("Valera\n");16     }17     return 0;18 }
       

 

 

B. Vladik and Complicated Book

 

2 seconds

256 megabytes

 

Vladik had started reading a complicated book about algorithms containing n pages. To improve understanding of what is written, his friends advised him to read pages in some order given by permutation P = [p1, p2, ..., pn], where pi denotes the number of page that should be read i-th in turn.

Sometimes Vladik’s mom sorted some subsegment of permutation P from position l to position r inclusive, because she loves the order. For every of such sorting Vladik knows number x — what index of page in permutation he should read. He is wondered if the page, which he will read after sorting, has changed. In other words, has px changed? After every sorting Vladik return permutation to initial state, so you can assume that each sorting is independent from each other.

Input

First line contains two space-separated integers n, m (1 ≤ n, m ≤ 104) — length of permutation and number of times Vladik's mom sorted some subsegment of the book.

Second line contains n space-separated integers p1, p2, ..., pn (1 ≤ pi ≤ n) — permutation P. Note that elements in permutation are distinct.

Each of the next m lines contains three space-separated integers li, ri, xi (1 ≤ li ≤ xi ≤ ri ≤ n) — left and right borders of sorted subsegment in i-th sorting and position that is interesting to Vladik.

Output

For each mom’s sorting on it’s own line print "Yes", if page which is interesting to Vladik hasn't changed, or "No" otherwise.

 

input

5 5 5 4 3 2 1 1 5 3 1 3 1 2 4 3 4 4 4 2 5 3

output

Yes No Yes Yes No

input

6 5 1 4 3 2 5 6 2 4 3 1 6 2 4 5 4 1 3 3 2 6 3

output

Yes No Yes No Yes

Note：

Explanation of first test case:

1. [1, 2, 3, 4, 5] — permutation after sorting, 3-rd element hasn’t changed, so answer is "Yes".
2. [3, 4, 5, 2, 1] — permutation after sorting, 1-st element has changed, so answer is "No".
3. [5, 2, 3, 4, 1] — permutation after sorting, 3-rd element hasn’t changed, so answer is "Yes".
4. [5, 4, 3, 2, 1] — permutation after sorting, 4-th element hasn’t changed, so answer is "Yes".
5. [5, 1, 2, 3, 4] — permutation after sorting, 3-rd element has changed, so answer is "No".

 

题目大意：

　　　　　输入n个整数，然后有m次询问。每次询问输入三个整数L，R，X，将[L,R]范围内的整数从小到大排序，

　　　　　判断第X个整数的位置是否发生变化。

解题思路：

　　　　　下午写的时候，特意看了下数据范围，发现不是太大就直接sort了。不过最后被无情的hack了。。。。

　　　　　后来在codeforces群里看大佬们讨论时提到一种思路，对于每一个询问只用判断[L,R]中小于第X个整数的个数

　　　　　是否等于X-L（因为 (1 ≤ li ≤ xi ≤ ri ≤ n) 所以只要在[L,R]中有X-L个整数小于Xi排序之后就不会影响Xi的位置）

1 #include 
      
        2 int main () 3 { 4     int n,m,i,l,r,x; 5     int p[10010]; 6     while (~scanf("%d%d",&n,&m)) 7     { 8         for (i = 1; i <= n; i ++) 9             scanf("%d",&p[i]);10         while (m --)11         {12             int sum = 0;13             scanf("%d%d%d",&l,&r,&x);14             for(i = l; i <= r; i ++)15                 if (p[i] < p[x])16                     sum ++;17             if (x-l == sum)18                 printf("Yes\n");19             else20                 printf("No\n");21         }22     }23     return 0;24 }