codeforces_609B. The Best Gift
2016-03-24 10:52
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B. The Best Gift
time limit per test
2 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output
Emily's birthday is next week and Jack has decided to buy a present for her. He knows she loves books so he goes to the local bookshop, where there are n books
on sale from one of m genres.
In the bookshop, Jack decides to buy two books of different genres.
Based on the genre of books on sale in the shop, find the number of options available to Jack for choosing two books of different genres for Emily. Options are considered different if they differ in at least one book.
The books are given by indices of their genres. The genres are numbered from 1 to m.
Input
The first line contains two positive integers n and m (2 ≤ n ≤ 2·105, 2 ≤ m ≤ 10)
— the number of books in the bookstore and the number of genres.
The second line contains a sequence a1, a2, ..., an,
where ai (1 ≤ ai ≤ m)
equals the genre of the i-th book.
It is guaranteed that for each genre there is at least one book of that genre.
Output
Print the only integer — the number of ways in which Jack can choose books.
It is guaranteed that the answer doesn't exceed the value 2·109.
Examples
input
output
input
output
Note
The answer to the first test sample equals 5 as Sasha can choose:
the first and second books,
the first and third books,
the first and fourth books,
the second and third books,
the third and fourth books.
水题,但我的做法wa了几次,因为我是用总方案数减去不可行方案数的,导致溢出,后来所有变量都改成longlong才过。。
time limit per test
2 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output
Emily's birthday is next week and Jack has decided to buy a present for her. He knows she loves books so he goes to the local bookshop, where there are n books
on sale from one of m genres.
In the bookshop, Jack decides to buy two books of different genres.
Based on the genre of books on sale in the shop, find the number of options available to Jack for choosing two books of different genres for Emily. Options are considered different if they differ in at least one book.
The books are given by indices of their genres. The genres are numbered from 1 to m.
Input
The first line contains two positive integers n and m (2 ≤ n ≤ 2·105, 2 ≤ m ≤ 10)
— the number of books in the bookstore and the number of genres.
The second line contains a sequence a1, a2, ..., an,
where ai (1 ≤ ai ≤ m)
equals the genre of the i-th book.
It is guaranteed that for each genre there is at least one book of that genre.
Output
Print the only integer — the number of ways in which Jack can choose books.
It is guaranteed that the answer doesn't exceed the value 2·109.
Examples
input
4 3 2 1 3 1
output
5
input
7 4 4 2 3 1 2 4 3
output
18
Note
The answer to the first test sample equals 5 as Sasha can choose:
the first and second books,
the first and third books,
the first and fourth books,
the second and third books,
the third and fourth books.
水题,但我的做法wa了几次,因为我是用总方案数减去不可行方案数的,导致溢出,后来所有变量都改成longlong才过。。
#include <iostream> #include <cstdio> #include <cstdlib> #include <cstring> #include <cmath> #include <algorithm> using namespace std; int a[200010]; int main() { long long i,j,n,m; scanf("%lld%lld",&n,&m); for(i=1;i<=n;i++)scanf("%lld",&a[i]); sort(a+1,a+n+1); long long num=1,b=0; for(i=2;i<=n;i++) { if(a[i]==a[i-1]) { num++; } if(a[i]!=a[i-1]) { b+=(num*(num-1)/2); num=1; } } if(num>1)b+=(num*(num-1)/2); long long ans=n*(n-1)/2-b; printf("%lld\n",ans); return 0; }
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