A non-empty array A consisting of N integers is given. Array A represents numbers on a tape.
Any integer P, such that 0 < P < N, splits this tape into two non-empty parts: A[0], A[1], ..., A[P − 1] and A[P], A[P + 1], ..., A[N − 1].
The difference between the two parts is the value of: |(A[0] + A[1] + ... + A[P − 1]) − (A[P] + A[P + 1] + ... + A[N − 1])|
In other words, it is the absolute difference between the sum of the first part and the sum of the second part.
For example, consider array A such that:
A[0] = 3 A[1] = 1 A[2] = 2 A[3] = 4 A[4] = 3We can split this tape in four places:
- P = 1, difference = |3 − 10| = 7
- P = 2, difference = |4 − 9| = 5
- P = 3, difference = |6 − 7| = 1
- P = 4, difference = |10 − 3| = 7
Write a function:
class Solution { public int solution(int[] A); }
that, given a non-empty array A of N integers, returns the minimal difference that can be achieved.
For example, given:
A[0] = 3 A[1] = 1 A[2] = 2 A[3] = 4 A[4] = 3the function should return 1, as explained above.
Write an efficient algorithm for the following assumptions:
- N is an integer within the range [2..100,000];
- each element of array A is an integer within the range [−1,000..1,000].
import java.util.*;
class Solution {
public int solution(int[] A) {
int answer = 0;
int n = A.length;
int leftSum = A[0];
int rightSum = 0;
for (int i=1; i<n; i++) {
rightSum += A[i];
}
int abs = Math.abs(leftSum-rightSum);
for (int i=1; i<n; i++) {
leftSum
}
return answer;
}
}
import java.util.*;
class Solution {
public int solution(int[] A) {
int answer = 0;
int n = A.length;
int leftSum = A[0];
int rightSum = 0;
for (int i=1; i<n; i++) {
rightSum += A[i];
}
int abs = Math.abs(leftSum-rightSum);
for (int i=1; i<n; i++) {
leftSum += A[]
}
return answer;
}
}
import java.util.*;
class Solution {
public int solution(int[] A) {
int answer = 0;
int n = A.length;
int leftSum = A[0];
int rightSum = 0;
for (int i=1; i<n; i++) {
rightSum += A[i];
}
int abs = Math.abs(leftSum-rightSum);
for (int i=1; i<n; i++) {
leftSum += A[i-1]
}
return answer;
}
}
import java.util.*;
class Solution {
public int solution(int[] A) {
int answer = 0;
int n = A.length;
int leftSum = A[0];
int rightSum = 0;
for (int i=1; i<n; i++) {
rightSum += A[i];
}
int abs = Math.abs(leftSum-rightSum);
for (int i=1; i<n; i++) {
leftSum += A[i-1];
}
return answer;
}
}
import java.util.*;
class Solution {
public int solution(int[] A) {
int answer = 0;
int n = A.length;
int leftSum = A[0];
int rightSum = 0;
for (int i=1; i<n; i++) {
rightSum += A[i];
}
int abs = Math.abs(leftSum-rightSum);
for (int i=1; i<n; i++) {
leftSum += A[i-1];
rightSum -= A[i];
}
return answer;
}
}
import java.util.*;
class Solution {
public int solution(int[] A) {
int answer = 0;
int n = A.length;
int leftSum = A[0];
int rightSum = 0;
for (int i=1; i<n; i++) {
rightSum += A[i];
}
int abs = Math.abs(leftSum-rightSum);
for (int i=1; i<n; i++) {
leftSum += A[i-1];
rightSum -= A[i];
}
return answer;
}
}
import java.util.*;
class Solution {
public int solution(int[] A) {
int answer = 0;
int n = A.length;
int leftSum = A[0];
int rightSum = 0;
for (int i=1; i<n; i++) {
rightSum += A[i];
}
int abs = Math.abs(leftSum-rightSum);
for (int i=1; i<n; i++) {
leftSum += A[i-1];
rightSum -= A[i];
int tmp = Ma
}
return answer;
}
}
import java.util.*;
class Solution {
public int solution(int[] A) {
int answer = 0;
int n = A.length;
int leftSum = A[0];
int rightSum = 0;
for (int i=1; i<n; i++) {
rightSum += A[i];
}
int abs = Math.abs(leftSum-rightSum);
for (int i=1; i<n; i++) {
leftSum += A[i-1];
rightSum -= A[i];
int tmp = Math.abs(leftSum-rightSum);
if ()
}
return answer;
}
}
import java.util.*;
class Solution {
public int solution(int[] A) {
int answer = 0;
int n = A.length;
int leftSum = A[0];
int rightSum = 0;
for (int i=1; i<n; i++) {
rightSum += A[i];
}
int abs = Math.abs(leftSum-rightSum);
for (int i=1; i<n; i++) {
leftSum += A[i-1];
rightSum -= A[i];
int tmp = Math.abs(leftSum-rightSum);
if (abs > tmp) {
abs = tmp;
}
}
return answer;
}
}
import java.util.*;
class Solution {
public int solution(int[] A) {
int answer = 0;
int n = A.length;
int leftSum = A[0];
int rightSum = 0;
for (int i=1; i<n; i++) {
rightSum += A[i];
}
int abs = Math.abs(leftSum-rightSum);
for (int i=1; i<n; i++) {
leftSum += A[i-1];
rightSum -= A[i];
int tmp = Math.abs(leftSum-rightSum);
if (abs > tmp) {
abs = tmp;
}
}
answer = abs;
return answer;
}
}
import java.util.*;
class Solution {
public int solution(int[] A) {
int answer = 0;
int n = A.length;
int leftSum = A[0];
int rightSum = 0;
for (int i=1; i<n; i++) {
rightSum += A[i];
}
int abs = Math.abs(leftSum-rightSum);
for (int i=2; i<n; i++) {
leftSum += A[i-1];
rightSum -= A[i];
int tmp = Math.abs(leftSum-rightSum);
if (abs > tmp) {
abs = tmp;
}
}
answer = abs;
return answer;
}
}
import java.util.*;
class Solution {
public int solution(int[] A) {
int answer = 0;
int n = A.length;
int leftSum = A[0];
int rightSum = 0;
for (int i=1; i<n; i++) {
rightSum += A[i];
}
int abs = Math.abs(leftSum-rightSum);
for (int i=2; i<n; i++) {
leftSum += A[i-1];
rightSum -= A[i];
int tmp = Math.abs(leftSum-rightSum);
if (abs > tmp) {
abs = tmp;
}
}
answer = abs;
return answer;
}
}
import java.util.*;
class Solution {
public int solution(int[] A) {
int answer = 0;
int n = A.length;
int leftSum = A[0];
int rightSum = 0;
for (int i=1; i<n; i++) {
rightSum += A[i];
}
int abs = Math.abs(leftSum-rightSum);
if ()
for (int i=2; i<n; i++) {
leftSum += A[i-1];
rightSum -= A[i];
int tmp = Math.abs(leftSum-rightSum);
if (abs > tmp) {
abs = tmp;
}
}
answer = abs;
return answer;
}
}
import java.util.*;
class Solution {
public int solution(int[] A) {
int answer = 0;
int n = A.length;
int leftSum = A[0];
int rightSum = 0;
for (int i=1; i<n; i++) {
rightSum += A[i];
}
int abs = Math.abs(leftSum-rightSum);
if (n==2)
for (int i=2; i<n; i++) {
leftSum += A[i-1];
rightSum -= A[i];
int tmp = Math.abs(leftSum-rightSum);
if (abs > tmp) {
abs = tmp;
}
}
answer = abs;
return answer;
}
}
import java.util.*;
class Solution {
public int solution(int[] A) {
int answer = 0;
int n = A.length;
int leftSum = A[0];
int rightSum = 0;
for (int i=1; i<n; i++) {
rightSum += A[i];
}
int abs = Math.abs(leftSum-rightSum);
if (n<=2) {
return abs;
}
for (int i=2; i<n; i++) {
leftSum += A[i-1];
rightSum -= A[i];
int tmp = Math.abs(leftSum-rightSum);
if (abs > tmp) {
abs = tmp;
}
}
answer = abs;
return answer;
}
}
import java.util.*;
class Solution {
public int solution(int[] A) {
int answer = 0;
int n = A.length;
int leftSum = A[0];
int rightSum = 0;
for (int i=1; i<n; i++) {
rightSum += A[i];
}
int abs = Math.abs(leftSum-rightSum);
if (n<=2) {
return abs;
}
for (int i=2; i<n; i++) {
leftSum += A[i-1];
rightSum -= A[i];
int tmp = Math.abs(leftSum-rightSum);
if (abs > tmp) {
abs = tmp;
}
}
return abs;
}
}
import java.util.*;
class Solution {
public int solution(int[] A) {
int n = A.length;
int leftSum = A[0];
int rightSum = 0;
for (int i=1; i<n; i++) {
rightSum += A[i];
}
int abs = Math.abs(leftSum-rightSum);
if (n<=2) {
return abs;
}
for (int i=2; i<n; i++) {
leftSum += A[i-1];
rightSum -= A[i];
int tmp = Math.abs(leftSum-rightSum);
if (abs > tmp) {
abs = tmp;
}
}
return abs;
}
}
import java.util.*;
class Solution {
public int solution(int[] A) {
int n = A.length;
int leftSum = A[0];
int rightSum = 0;
for (int i=1; i<n; i++) {
rightSum += A[i];
}
int abs = Math.abs(leftSum-rightSum);
if (n<=2) {
return abs;
}
for (int i=2; i<n; i++) {
leftSum += A[i-1];
rightSum -= A[i];
int tmp = Math.abs(leftSum-rightSum);
if (abs > tmp) {
abs = tmp;
}
System.out.
}
return abs;
}
}
import java.util.*;
class Solution {
public int solution(int[] A) {
int n = A.length;
int leftSum = A[0];
int rightSum = 0;
for (int i=1; i<n; i++) {
rightSum += A[i];
}
int abs = Math.abs(leftSum-rightSum);
if (n<=2) {
return abs;
}
for (int i=2; i<n; i++) {
leftSum += A[i-1];
rightSum -= A[i];
int tmp = Math.abs(leftSum-rightSum);
if (abs > tmp) {
abs = tmp;
}
System.out.println(abs);
}
return abs;
}
}
4 2 2
import java.util.*;
class Solution {
public int solution(int[] A) {
int n = A.length;
int leftSum = A[0];
int rightSum = 0;
for (int i=1; i<n; i++) {
rightSum += A[i];
}
int abs = Math.abs(leftSum-rightSum);
if (n<=2) {
return abs;
}
for (int i=2; i<n; i++) {
leftSum += A[i-1];
rightSum -= A[i];
int tmp = Math.abs(leftSum-rightSum);
if (abs > tmp) {
abs = tmp;
}
System.out.println(abs);
}
return abs;
}
}
import java.util.*;
class Solution {
public int solution(int[] A) {
int n = A.length;
int leftSum = A[0];
int rightSum = 0;
for (int i=1; i<n; i++) {
rightSum += A[i];
}
int abs = Math.abs(leftSum-rightSum);
if (n<=2) {
return abs;
}
for (int i=2; i<n; i++) {
leftSum += A[i-1];
rightSum -= A[i];
System.out.println()
int tmp = Math.abs(leftSum-rightSum);
if (abs > tmp) {
abs = tmp;
}
System.out.println(abs);
}
return abs;
}
}
import java.util.*;
class Solution {
public int solution(int[] A) {
int n = A.length;
int leftSum = A[0];
int rightSum = 0;
for (int i=1; i<n; i++) {
rightSum += A[i];
}
int abs = Math.abs(leftSum-rightSum);
if (n<=2) {
return abs;
}
for (int i=2; i<n; i++) {
leftSum += A[i-1];
rightSum -= A[i];
System.out.println("leftSum=" + leftSum + " rightSum=" + rightSum);
int tmp = Math.abs(leftSum-rightSum);
if (abs > tmp) {
abs = tmp;
}
System.out.println(abs);
}
return abs;
}
}
leftSum=4 rightSum=8 4 leftSum=6 rightSum=4 2 leftSum=10 rightSum=1 2
import java.util.*;
class Solution {
public int solution(int[] A) {
int n = A.length;
int leftSum = A[0];
int rightSum = 0;
for (int i=1; i<n; i++) {
rightSum += A[i];
}
int abs = Math.abs(leftSum-rightSum);
if (n<=2) {
return abs;
}
for (int i=2; i<n; i++) {
leftSum += A[i-1];
rightSum -= A[i-1];
System.out.println("leftSum=" + leftSum + " rightSum=" + rightSum);
int tmp = Math.abs(leftSum-rightSum);
if (abs > tmp) {
abs = tmp;
}
System.out.println(abs);
}
return abs;
}
}
import java.util.*;
class Solution {
public int solution(int[] A) {
int n = A.length;
int leftSum = A[0];
int rightSum = 0;
for (int i=1; i<n; i++) {
rightSum += A[i];
}
int abs = Math.abs(leftSum-rightSum);
if (n<=2) {
return abs;
}
for (int i=2; i<n; i++) {
leftSum += A[i-1];
rightSum -= A[i-1];
System.out.println("leftSum=" + leftSum + " rightSum=" + rightSum);
int tmp = Math.abs(leftSum-rightSum);
if (abs > tmp) {
abs = tmp;
}
System.out.println(abs);
}
return abs;
}
}
leftSum=4 rightSum=9 5 leftSum=6 rightSum=7 1 leftSum=10 rightSum=3 1
import java.util.*;
class Solution {
public int solution(int[] A) {
int n = A.length;
int leftSum = A[0];
int rightSum = 0;
for (int i=1; i<n; i++) {
rightSum += A[i];
}
int abs = Math.abs(leftSum-rightSum);
if (n<=2) {
return abs;
}
for (int i=2; i<n; i++) {
leftSum += A[i-1];
rightSum -= A[i-1];
int tmp = Math.abs(leftSum-rightSum);
if (abs > tmp) {
abs = tmp;
}
}
return abs;
}
}
import java.util.*;
class Solution {
public int solution(int[] A) {
int n = A.length;
int leftSum = A[0];
int rightSum = 0;
for (int i=1; i<n; i++) {
rightSum += A[i];
}
int abs = Math.abs(leftSum-rightSum);
if (n<=2) {
return abs;
}
for (int i=2; i<n; i++) {
leftSum += A[i-1];
rightSum -= A[i-1];
int tmp = Math.abs(leftSum-rightSum);
if (abs > tmp) {
abs = tmp;
}
}
return abs;
}
}
import java.util.*;
class Solution {
public int solution(int[] A) {
int n = A.length;
int leftSum = A[0];
int rightSum = 0;
for (int i=1; i<n; i++) {
rightSum += A[i];
}
int abs = Math.abs(leftSum-rightSum);
if (n<=2) {
return abs;
}
for (int i=2; i<n; i++) {
leftSum += A[i-1];
rightSum -= A[i-1];
int tmp = Math.abs(leftSum-rightSum);
if (abs > tmp) {
abs = tmp;
}
}
return abs;
}
}
import java.util.*;
class Solution {
public int solution(int[] A) {
int n = A.length;
int leftSum = A[0];
int rightSum = 0;
for (int i=1; i<n; i++) {
rightSum += A[i];
}
int abs = Math.abs(leftSum-rightSum);
if (n<=2) {
return abs;
}
for (int i=2; i<n; i++) {
leftSum += A[i-1];
rightSum -= A[i-1];
int tmp = Math.abs(leftSum-rightSum);
if (abs > tmp) {
abs = tmp;
}
}
return abs;
}
}
The solution obtained perfect score.