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#3946

Breed Counting 2초 512MB

문제

Farmer John's N cows, conveniently numbered 1 \ldots N, are all standing in a row (they seem to do so often that it now takes very little prompting from Farmer John to line them up). Each cow has a breed ID: 1 for Holsteins, 2 for Guernseys, and 3 for Jerseys. Farmer John would like your help counting the number of cows of each breed that lie within certain intervals of the ordering.

Problem credits: Nick Wu


입력

The first line of input contains NN and QQ (1≤N≤100,0001 \leq N \leq 100,000, 1≤Q≤100,0001 \leq Q \leq 100,000).

The next NN lines contain an integer that is either 1, 2, or 3, giving the breed ID of a single cow in the ordering.

The next QQ lines describe a query in the form of two integers a,ba, b (a≤ba \leq b).


출력

For each of the QQ queries (a,b)(a,b), print a line containing three numbers: the number of cows numbered a…ba \ldots b that are Holsteins (breed 1), Guernseys (breed 2), and Jerseys (breed 3).


예제1

입력
6 3
2
1
1
3
2
1
1 6
3 3
2 4
출력
3 2 1
1 0 0
2 0 1

출처

USACO 2015 December Silver


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