poj 2924
Description
Johann Carl Friedrich Gauß (1777 – 1855) was one of the most important German mathematicians. For those of you who remember the Deutsche Mark, a picture of him was printed on the 10 – DM bill. In elementary school, his teacher J. G. Büttner tried to occupy the pupils by making them add up the integers from 1 to 100. The young Gauß surprised everybody by producing the correct answers (5050) within seconds.
Can you write a computer program that can compute such sums really quickly?
Given two integers n and m, you should compute the sum of all the integers from n to m. In other words, you should compute
Input
The first line contains the number of scenarios. Each scenario consists of a line containing the numbers n and m (−109 ≤ n ≤ m ≤ 109).
Output
The output for every scenario begins with a line containing “Scenario #i:”, where i is the number of the scenario starting at 1. Then print the sum of all integers from n to m. Terminate the output for the scenario with a blank line.
Sample Input
3 1 100 -11 10 -89173 938749341
Sample Output
Scenario #1: 5050 Scenario #2: -11 Scenario #3: 440625159107385260
1 #include<iostream> 2 using namespace std; 3 int main() 4 { 5 int n , count = 1; 6 __int64 x , y, temp; 7 __int64 sum; 8 cin>>n; 9 temp = n; 10 while(temp--) 11 { 12 sum = 0; 13 scanf("%I64d%I64d" , &x , &y); 14 sum = (x+y)*(y-x+1)/2; 15 cout<<"Scenario #"<<count<<':'<<endl; 16 printf("%I64d\n" , sum); 17 if(count!=n) cout<<endl; 18 count++; 19 } 20 return 0; 21 }