# The Lead Game Codechef Solution

## Problem

The game of billiards involves two players knocking 3 balls around on a green baize table. Well, there is more to it, but for our purposes this is sufficient.

The game consists of several rounds and in each round both players obtain a score, based on how well they played. Once all the rounds have been played, the total score of each player is determined by adding up the scores in all the rounds and the player with the higher total score is declared the winner.

The Siruseri Sports Club organises an annual billiards game where the top two players of Siruseri play against each other. The Manager of Siruseri Sports Club decided to add his own twist to the game by changing the rules for determining the winner. In his version, at the end of each round, the cumulative score for each player is calculated, and the leader and her current lead are found. Once all the rounds are over the player who had the maximum lead at the end of any round in the game is declared the winner.

Consider the following score sheet for a game with 5 rounds:

RoundÂ Â  Player 1Â Â  Player 2

1Â  Â  Â  Â  Â  Â  Â  140 82

2Â  Â  Â  Â  Â  Â  Â 89 134

3 90 110

4 112 106

5 88 90

The total scores of both players, the leader and the lead after each round for this game is given below:

1 140Â  Â  Â  Â  Â  Â 82 Player 1 58

2 229Â  Â  Â  Â  Â  216 Player 1Â  Â  13

3 319 326 Player 2Â  Â  7

4 431 432 Player 2 1

5 519 522 Player 2 3

Note that the above table contains the cumulative scores.

The winner of this game is Player 1 as he had the maximum lead (58 at the end of round 1) during the game.

Your task is to help the Manager find the winner and the winning lead. You may assume that the scores will be such that there will always be a single winner. That is, there are no ties.

## Input

The first line of the input will contain a single integer N (N â‰¤ 10000) indicating the number of rounds in the game. Lines 2,3,â€¦,N+1 describe the scores of the two players in the N rounds. Line i+1 contains two integer Si and Ti, the scores of the Player 1 and 2 respectively, in round i. You may assume that 1 â‰¤ Si â‰¤ 1000 and 1 â‰¤ Ti â‰¤ 1000.

## Output

Your output must consist of a single line containing two integers W and L, where W is 1 or 2 and indicates the winner and L is the maximum lead attained by the winner.

Input:

```5
140 82
89 134
90 110
112 106
88 90
```

Output:

`1 58`

## The Lead Gameâ€“ CodeChef Solution in Python

```n = int(input())
player1_score = 0
Player2_score = 0
for i in range(n):
score1, score2 = map(int, input().split())
player1_score = player1_score + score1
Player2_score = Player2_score + score2
diff = player1_score - Player2_score
if diff > 0 and diff > lead:
elif diff < 0 and abs(diff) > lead:

## The Lead Gameâ€“ CodeChef Solution in CPP

```#include <iostream>
using namespace std;
int main() {
int a, b, c, diff, max=0, winner, temp, sc_1=0, sc_2=0;
cin>>a;
while(a--) {
cin>>b>>c;
sc_1=sc_1+b;
sc_2=sc_2+c;
if(sc_1>sc_2) {
diff=sc_1-sc_2; temp=1;
}
else {
diff=sc_2-sc_1; temp=2;
}
if(diff>max) {
max=diff; winner=temp;
}
}
cout<<winner<<" "<<max;
return 0;
}
```

## The Lead Gameâ€“ CodeChef Solution in JAVA

```import java.util.Scanner;
public class Main {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int cumScore1 = 0;
int cumScore2 = 0;
int winner = -1;
int N = sc.nextInt();
for (int i = 0; i < N; i++) {
int S = sc.nextInt();
int T = sc.nextInt();
cumScore1 += S;
cumScore2 += T;
int lead = cumScore1 - cumScore2;