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].
// you can also use imports, for example:
// import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
for(int i=1; i < A.length-1; i++){
for(int j=i-1; j < i; j++){
}
}
}
}
// you can also use imports, for example:
// import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
int sumA = 0;
for(int i=1; i < A.length-1; i++){
for(int j=i-1; j < i; j++){
}
}
}
}
// you can also use imports, for example:
// import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
int sumA = 0;
for(int i=1; i < A.length-1; i++){
for(int j=i-1; j < i; j++){
sumA += A[j];
}
for(int k=)
}
}
}
// you can also use imports, for example:
// import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
int sumA = 0;
for(int i=1; i < A.length-1; i++){
for(int j=i-1; j < i; j++){
sumA += A[j];
}
for(int k=i; k < A.length; k++){
}
}
}
}
// you can also use imports, for example:
// import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
int sumA = 0;
int sumB = 0;
for(int i=1; i < A.length-1; i++){
for(int j=i-1; j < i; j++){
sumA += A[j];
}
for(int k=i; k < A.length; k++){
}
}
}
}
// you can also use imports, for example:
// import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
int sumA = 0;
int sumB = 0;
for(int i=1; i < A.length-1; i++){
for(int j=i-1; j < i; j++){
sumA += A[j];
}
for(int k=i; k < A.length; k++){
sumB += A[k];
}
}
}
}
// you can also use imports, for example:
// import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
int sumA = 0;
int sumB = 0;
int result = 0;
for(int i=1; i < A.length-1; i++){
for(int j=i-1; j < i; j++){
sumA += A[j];
}
for(int k=i; k < A.length; k++){
sumB += A[k];
}
int absolute = Math.aps
}
}
}
// you can also use imports, for example:
// import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
int sumA = 0;
int sumB = 0;
int result = 0;
for(int i=1; i < A.length-1; i++){
for(int j=i-1; j < i; j++){
sumA += A[j];
}
for(int k=i; k < A.length; k++){
sumB += A[k];
}
int absolute = Math.abs(sumA - sumB);
}
}
}
// you can also use imports, for example:
// import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
int sumA = 0;
int sumB = 0;
int result = 0;
for(int i=1; i < A.length-1; i++){
for(int j=i-1; j < i; j++){
sumA += A[j];
}
for(int k=i; k < A.length; k++){
sumB += A[k];
}
int absolute = Math.abs(sumA - sumB);
if(absolute )
}
}
}
// you can also use imports, for example:
// import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
int sumA = 0;
int sumB = 0;
int result = 0;
for(int i=1; i < A.length-1; i++){
for(int j=i-1; j < i; j++){
sumA += A[j];
}
for(int k=i; k < A.length; k++){
sumB += A[k];
}
int absolute = Math.abs(sumA - sumB);
if(a)
}
}
}
// you can also use imports, for example:
// import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
int sumA = 0;
int sumB = 0;
int result = 0;
for(int i=1; i < A.length-1; i++){
for(int j=i-1; j < i; j++){
sumA += A[j];
}
for(int k=i; k < A.length; k++){
sumB += A[k];
}
int absolute = Math.abs(sumA - sumB);
if(i == 1){
result = absolute
}
}
}
}
// you can also use imports, for example:
// import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
int sumA = 0;
int sumB = 0;
int result = 0;
for(int i=1; i < A.length-1; i++){
for(int j=i-1; j < i; j++){
sumA += A[j];
}
for(int k=i; k < A.length; k++){
sumB += A[k];
}
int absolute = Math.abs(sumA - sumB);
if(i == 1){
result = absolute;
}else if(result > absolute){
result = absolute;
}
}
}
}
// you can also use imports, for example:
// import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
int sumA = 0;
int sumB = 0;
int result = 0;
for(int i=1; i < A.length-1; i++){
for(int j=i-1; j < i; j++){
sumA += A[j];
}
for(int k=i; k < A.length; k++){
sumB += A[k];
}
int absolute = Math.abs(sumA - sumB);
if(i == 1){
result = absolute;
}else if(result > absolute){
result = absolute;
}
}
return result;
}
}
// you can also use imports, for example:
// import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
int sumA = 0;
int sumB = 0;
int result = 0;
for(int i=1; i < A.length-1; i++){
for(int j=i-1; j < i; j++){
sumA += A[j];
}
for(int k=i; k < A.length; k++){
sumB += A[k];
}
int absolute = Math.abs(sumA - sumB);
if(i == 1){
result = absolute;
}else if(result > absolute){
result = absolute;
}
}
return result;
}
}
// you can also use imports, for example:
// import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
int sumA = 0;
int sumB = 0;
int result = 0;
for(int i=1; i < A.length-1; i++){
for(int j=i-1; j < i; j++){
sumA += A[j];
}
for(int k=i; k < A.length; k++){
sumB += A[k];
}
int absolute = Math.abs(sumA - sumB);
if(i == 1){
result = absolute;
}else if(result > absolute){
result = absolute;
}
}
return result;
}
}
// you can also use imports, for example:
// import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
int sumA = 0;
int sumB = 0;
int result = 0;
for(int i=1; i < A.length-1; i++){
for(int j=i-1; j < i; j++){
sumA += A[j];
}
for(int k=i; k < A.length; k++){
sumB += A[k];
}
int absolute = Math.abs(sumA - sumB);
if(i == 1){
result = absolute;
}else if(result > absolute){
result = absolute;
}
}
return result;
}
}
// you can also use imports, for example:
// import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
int sumA = 0;
int sumB = 0;
int result = 0;
for(int i=1; i < A.length-1; i++){
for(int j=i-1; j < i; j++){
sumA += A[j];
}
for(int k=i; k < A.length; k++){
sumB += A[k];
}
int absolute = Math.abs(sumA - sumB);
System.out.println(absolute);
if(i == 1){
result = absolute;
}else if(result > absolute){
result = absolute;
}
}
return result;
}
}
7 15 20
// you can also use imports, for example:
// import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
int sumA = 0;
int sumB = 0;
int result = 0;
for(int i=1; i < A.length-1; i++){
for(int j=i-1; j < i; j++){
sumA += A[j];
}
for(int k=i; k < A.length; k++){
sumB += A[k];
}
int absolute = Math.abs(sumA - sumB);
System.out.println(smabsolute);
if(i == 1){
result = absolute;
}else if(result > absolute){
result = absolute;
}
}
return result;
}
}
// you can also use imports, for example:
// import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
int sumA = 0;
int sumB = 0;
int result = 0;
for(int i=1; i < A.length-1; i++){
for(int j=i-1; j < i; j++){
sumA += A[j];
}
for(int k=i; k < A.length; k++){
sumB += A[k];
}
int absolute = Math.abs(sumA - sumB);
System.out.println(sumA + " " + sumB + " " + absolute);
if(i == 1){
result = absolute;
}else if(result > absolute){
result = absolute;
}
}
return result;
}
}
// you can also use imports, for example:
// import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
int sumA = 0;
int sumB = 0;
int result = 0;
for(int i=1; i < A.length-1; i++){
for(int j=i-1; j < i; j++){
sumA += A[j];
}
for(int k=i; k < A.length; k++){
sumB += A[k];
}
int absolute = Math.abs(sumA - sumB);
System.out.println(sumA + " " + sumB + " " + absolute);
if(i == 1){
result = absolute;
}else if(result > absolute){
result = absolute;
}
}
return result;
}
}
3 10 7 4 19 15 6 26 20
// you can also use imports, for example:
// import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
int sumA = 0;
int sumB = 0;
int result = 0;
for(int i=1; i < A.length-1; i++){
sumA = 0;
sumB = 0;
for(int j=i-1; j < i; j++){
sumA += A[j];
}
for(int k=i; k < A.length; k++){
sumB += A[k];
}
int absolute = Math.abs(sumA - sumB);
System.out.println(sumA + " " + sumB + " " + absolute);
if(i == 1){
result = absolute;
}else if(result > absolute){
result = absolute;
}
}
return result;
}
}
3 10 7 1 9 8 2 7 5
// you can also use imports, for example:
// import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
int sumA = 0;
int sumB = 0;
int result = 0;
for(int i=1; i < A.length-1; i++){
sumA = 0;
sumB = 0;
for(int j=i; j < i; j++){
sumA += A[j];
}
for(int k=i; k < A.length; k++){
sumB += A[k];
}
int absolute = Math.abs(sumA - sumB);
System.out.println(sumA + " " + sumB + " " + absolute);
if(i == 1){
result = absolute;
}else if(result > absolute){
result = absolute;
}
}
return result;
}
}
// you can also use imports, for example:
// import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
int sumA = 0;
int sumB = 0;
int result = 0;
for(int i=1; i < A.length-1; i++){
sumA = 0;
sumB = 0;
for(int j=0; j < i; j++){
sumA += A[j];
}
for(int k=i; k < A.length; k++){
sumB += A[k];
}
int absolute = Math.abs(sumA - sumB);
System.out.println(sumA + " " + sumB + " " + absolute);
if(i == 1){
result = absolute;
}else if(result > absolute){
result = absolute;
}
}
return result;
}
}
// you can also use imports, for example:
// import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
int sumA = 0;
int sumB = 0;
int result = 0;
for(int i=1; i < A.length; i++){
sumA = 0;
sumB = 0;
for(int j=0; j < i; j++){
sumA += A[j];
}
for(int k=i; k < A.length; k++){
sumB += A[k];
}
int absolute = Math.abs(sumA - sumB);
System.out.println(sumA + " " + sumB + " " + absolute);
if(i == 1){
result = absolute;
}else if(result > absolute){
result = absolute;
}
}
return result;
}
}
3 10 7 4 9 5 6 7 1 10 3 7
// you can also use imports, for example:
// import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
int sumA = 0;
int sumB = 0;
int result = 0;
for(int i=1; i < A.length; i++){
sumA = 0;
sumB = 0;
for(int j=0; j < i; j++){
sumA += A[j];
}
for(int k=i; k < A.length; k++){
sumB += A[k];
}
int absolute = Math.abs(sumA - sumB);
System.out.println(sumA + " " + sumB + " " + absolute);
if(i == 1 ){
result = absolute;
}else if(result > absolute){
result = absolute;
}
}
return result;
}
}
// you can also use imports, for example:
// import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
int sumA = 0;
int sumB = 0;
int result = 0;
for(int i=1; i < A.length; i++){
sumA = 0;
sumB = 0;
for(int j=0; j < i; j++){
sumA += A[j];
}
for(int k=i; k < A.length; k++){
sumB += A[k];
}
int absolute = Math.abs(sumA - sumB);
System.out.println(sumA + " " + sumB + " " + absolute);
if(i == 1 || result > absolute){
result = absolute;
}else if(result > absolute){
result = absolute;
}
}
return result;
}
}
// you can also use imports, for example:
// import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
int sumA = 0;
int sumB = 0;
int result = 0;
for(int i=1; i < A.length; i++){
sumA = 0;
sumB = 0;
for(int j=0; j < i; j++){
sumA += A[j];
}
for(int k=i; k < A.length; k++){
sumB += A[k];
}
int absolute = Math.abs(sumA - sumB);
System.out.println(sumA + " " + sumB + " " + absolute);
if(i == 1 || result > absolute){
result = absolute;
}
}
return result;
}
}
3 10 7 4 9 5 6 7 1 10 3 7
// you can also use imports, for example:
// import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
int sumA = 0;
int sumB = 0;
int result = 0;
for(int i=1; i < A.length; i++){
sumA = 0;
sumB = 0;
for(int j=0; j < i; j++){
sumA += A[j];
}
for(int k=i; k < A.length; k++){
sumB += A[k];
}
int absolute = Math.abs(sumA - sumB);
//System.out.println(sumA + " " + sumB + " " + absolute);
if(i == 1 || result > absolute){
result = absolute;
}
}
return result;
}
}
// you can also use imports, for example:
// import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
int sumA = 0;
int sumB = 0;
int result = 0;
for(int i=1; i < A.length; i++){
sumA = 0;
sumB = 0;
for(int j=0; j < i; j++){
sumA += A[j];
}
for(int k=i; k < A.length; k++){
sumB += A[k];
}
int absolute = Math.abs(sumA - sumB);
//System.out.println(sumA + " " + sumB + " " + absolute);
if(i == 1 || result > absolute){
result = absolute;
}
}
return result;
}
}
// you can also use imports, for example:
// import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
int sumA = 0;
int sumB = 0;
int result = 0;
for(int i=1; i < A.length; i++){
sumA = 0;
sumB = 0;
for(int j=0; j < i; j++){
sumA += A[j];
}
for(int k=i; k < A.length; k++){
sumB += A[k];
}
int absolute = Math.abs(sumA - sumB);
//System.out.println(sumA + " " + sumB + " " + absolute);
if(i == 1 || result > absolute){
result = absolute;
}
}
return result;
}
}
The following issues have been detected: timeout errors.
random medium, numbers from 0 to 100, length = ~10,000
running time: 2.008 sec., time limit: 0.112 sec.
random medium, numbers from -1,000 to 50, length = ~10,000
running time: 1.348 sec., time limit: 0.128 sec.
large sequence, numbers from -1 to 1, length = ~100,000
Killed. Hard limit reached: 6.000 sec.
random large, length = ~100,000
Killed. Hard limit reached: 6.000 sec.
large sequence, length = ~100,000
Killed. Hard limit reached: 6.000 sec.
large test with maximal and minimal values, length = ~100,000
Killed. Hard limit reached: 6.000 sec.