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].
https://app.codility.com/demo/results/trainingY2KNXZ-9B6/
import java.util.*;
class Solution {
public int solution(int[] A) {
int frontSum = 0;
int rearSum = 0;
int minSum = Integer.MAX_VALUE;
for (int a : A) {
rearSum += a;
}
for (int a : A) {
frontSum += a;
rearSum -= a;
int diffSum = Math.abs(frontSum - rearSum);
if (minSum > diffSum) {
minSum = diffSum;
}
}
return minSum;
}
}
import java.util.*;
class Solution {
public int solution(int[] A) {
int frontSum = 0;
int rearSum = 0;
int minSum = Integer.MAX_VALUE;
for (int a : A) {
rearSum += a;
}
for (int a : A) {
frontSum += a;
rearSum -= a;
int diffSum = Math.abs(frontSum - rearSum);
if (minSum > diffSum) {
minSum = diffSum;
}
}
return minSum;
}
}
[0, 2]
import java.util.*;
class Solution {
public int solution(int[] A) {
int frontSum = 0;
int rearSum = 0;
int minSum = Integer.MAX_VALUE;
for (int a : A) {
rearSum += a;
}
for (int a : A) {
frontSum += a;
rearSum -= a;
int diffSum = Math.abs(frontSum - rearSum);
if (minSum > diffSum) {
minSum = diffSum;
}
}
return minSum;
}
}
[0, 2]
import java.util.*;
class Solution {
public int solution(int[] A) {
int frontSum = 0;
int rearSum = 0;
int minSum = Integer.MAX_VALUE;
for (int a : A) {
rearSum += a;
}
for (int a : A) {
frontSum += a;
rearSum -= a;
int diffSum = Math.abs(frontSum - rearSum);
if (minSum > diffSum) {
minSum = diffSum;
}
}
return minSum;
}
}
[0, 0]
import java.util.*;
class Solution {
public int solution(int[] A) {
int frontSum = 0;
int rearSum = 0;
int minSum = Integer.MAX_VALUE;
for (int a : A) {
rearSum += a;
}
for (int a : A) {
frontSum += a;
rearSum -= a;
int diffSum = Math.abs(frontSum - rearSum);
if (minSum > diffSum) {
minSum = diffSum;
}
}
return minSum;
}
}
[-1000, 1000]
import java.util.*;
class Solution {
public int solution(int[] A) {
int frontSum = 0;
int rearSum = 0;
int minSum = Integer.MAX_VALUE;
for (int a : A) {
rearSum += a;
}
for (int a : A) {
frontSum += a;
rearSum -= a;
int diffSum = Math.abs(frontSum - rearSum);
if (minSum > diffSum) {
minSum = diffSum;
}
}
return minSum;
}
}
[1, 2]
import java.util.*;
class Solution {
public int solution(int[] A) {
int frontSum = 0;
int rearSum = 0;
int minSum = Integer.MAX_VALUE;
for (int a : A) {
rearSum += a;
}
for (int a : A) {
frontSum += a;
rearSum -= a;
int diffSum = Math.abs(frontSum - rearSum);
if (minSum > diffSum) {
minSum = diffSum;
}
}
return minSum;
}
}
[-1000, 1000]
import java.util.*;
class Solution {
public int solution(int[] A) {
int frontSum = 0;
int rearSum = 0;
int minSum = Integer.MAX_VALUE;
for (int a : A) {
rearSum += a;
}
for (int a : A) {
frontSum += a;
rearSum -= a;
Sys
int diffSum = Math.abs(frontSum - rearSum);
if (minSum > diffSum) {
minSum = diffSum;
}
}
return minSum;
}
}
import java.util.*;
class Solution {
public int solution(int[] A) {
int frontSum = 0;
int rearSum = 0;
int minSum = Integer.MAX_VALUE;
for (int a : A) {
rearSum += a;
}
for (int a : A) {
frontSum += a;
rearSum -= a;
System.out.printon(fronSum + " " rearSum);
int diffSum = Math.abs(frontSum - rearSum);
if (minSum > diffSum) {
minSum = diffSum;
}
}
return minSum;
}
}
Solution.java:16: error: ')' expected System.out.printon(fronSum + " " rearSum); ^ Solution.java:16: error: illegal start of expression System.out.printon(fronSum + " " rearSum); ^ 2 errors
import java.util.*;
class Solution {
public int solution(int[] A) {
int frontSum = 0;
int rearSum = 0;
int minSum = Integer.MAX_VALUE;
for (int a : A) {
rearSum += a;
}
for (int a : A) {
frontSum += a;
rearSum -= a;
System.out.printon(fronSum + " " + rearSum);
int diffSum = Math.abs(frontSum - rearSum);
if (minSum > diffSum) {
minSum = diffSum;
}
}
return minSum;
}
}
Solution.java:16: error: cannot find symbol System.out.printon(fronSum + " " + rearSum); ^ symbol: variable fronSum location: class Solution 1 error
import java.util.*;
class Solution {
public int solution(int[] A) {
int frontSum = 0;
int rearSum = 0;
int minSum = Integer.MAX_VALUE;
for (int a : A) {
rearSum += a;
}
for (int a : A) {
frontSum += a;
rearSum -= a;
System.out.printon(frontSum + " " + rearSum);
int diffSum = Math.abs(frontSum - rearSum);
if (minSum > diffSum) {
minSum = diffSum;
}
}
return minSum;
}
}
Solution.java:16: error: cannot find symbol System.out.printon(frontSum + " " + rearSum); ^ symbol: method printon(String) location: variable out of type PrintStream 1 error
import java.util.*;
class Solution {
public int solution(int[] A) {
int frontSum = 0;
int rearSum = 0;
int minSum = Integer.MAX_VALUE;
for (int a : A) {
rearSum += a;
}
for (int a : A) {
frontSum += a;
rearSum -= a;
System.out.println(frontSum + " " + rearSum);
int diffSum = Math.abs(frontSum - rearSum);
if (minSum > diffSum) {
minSum = diffSum;
}
}
return minSum;
}
}
[-1000, 1000]
import java.util.*;
class Solution {
public int solution(int[] A) {
int frontSum = 0;
int rearSum = 0;
int minSum = Integer.MAX_VALUE;
for (int a : A) {
rearSum += a;
}
for (int i a : A) {
frontSum += a;
rearSum -= a;
System.out.println(frontSum + " " + rearSum);
int diffSum = Math.abs(frontSum - rearSum);
if (minSum > diffSum) {
minSum = diffSum;
}
}
return minSum;
}
}
import java.util.*;
class Solution {
public int solution(int[] A) {
int frontSum = 0;
int rearSum = 0;
int minSum = Integer.MAX_VALUE;
for (int a : A) {
rearSum += a;
}
for (int i=0; i<A.length - 1; i++) {
frontSum += a;
rearSum -= a;
System.out.println(frontSum + " " + rearSum);
int diffSum = Math.abs(frontSum - rearSum);
if (minSum > diffSum) {
minSum = diffSum;
}
}
return minSum;
}
}
import java.util.*;
class Solution {
public int solution(int[] A) {
int frontSum = 0;
int rearSum = 0;
int minSum = Integer.MAX_VALUE;
for (int a : A) {
rearSum += a;
}
for (int i=0; i<A.length - 1; i++) {
frontSum += A[i];
rearSum -= A[i];
int diffSum = Math.abs(frontSum - rearSum);
if (minSum > diffSum) {
minSum = diffSum;
}
}
return minSum;
}
}
[-1000, 1000]
import java.util.*;
class Solution {
public int solution(int[] A) {
int frontSum = 0;
int rearSum = 0;
int minSum = Integer.MAX_VALUE;
for (int a : A) {
rearSum += a;
}
for (int i=0; i<A.length - 1; i++) {
frontSum += A[i];
rearSum -= A[i];
int diffSum = Math.abs(frontSum - rearSum);
if (minSum > diffSum) {
minSum = diffSum;
}
}
return minSum;
}
}
[-1000, 1000]
import java.util.*;
class Solution {
public int solution(int[] A) {
int frontSum = 0;
int rearSum = 0;
int minSum = Integer.MAX_VALUE;
for (int a : A) {
rearSum += a;
}
for (int i=0; i<A.length - 1; i++) {
frontSum += A[i];
rearSum -= A[i];
int diffSum = Math.abs(frontSum - rearSum);
if (minSum > diffSum) {
minSum = diffSum;
}
}
return minSum;
}
}
The solution obtained perfect score.