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:
int solution(vector<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].
#include <iostream>
using namespace std;
int solution(vector<int> &A) {
// write your code in C++14 (g++ 6.2.0)
//숫자가 정해져 있지 않아서 우선 처음으로 나뉘는 부분은 계산하자.
int left = A[0];
int right = 0;
for(int i = 1; i<A.size(); i++){
right += A[i];
}
int min = 100000001;
for(int i = 1; i<A.size(); i++){
}
}
#include <iostream>
using namespace std;
int solution(vector<int> &A) {
// write your code in C++14 (g++ 6.2.0)
//숫자가 정해져 있지 않아서 우선 처음으로 나뉘는 부분은 계산하자.
int left = A[0];
int right = 0;
for(int i = 1; i<A.size(); i++){
right += A[i];
}
int min = 100000001;
for(int i = 1; i<A.size(); i++){
}
}
#include <iostream>
#include <algorithm>
using namespace std;
int solution(vector<int> &A) {
// write your code in C++14 (g++ 6.2.0)
//숫자가 정해져 있지 않아서 우선 처음으로 나뉘는 부분은 계산하자.
int left = A[0];
int right = 0;
for(int i = 1; i<A.size(); i++){
right += A[i];
}
int min = 100000001;
for(int i = 1; i<A.size(); i++){
}
}
#include <iostream>
#include <algorithm>
#include <cstdlib>
using namespace std;
int solution(vector<int> &A) {
// write your code in C++14 (g++ 6.2.0)
//숫자가 정해져 있지 않아서 우선 처음으로 나뉘는 부분은 계산하자.
int left = A[0];
int right = 0;
for(int i = 1; i<A.size(); i++){
right += A[i];
}
int min = 100000001;
for(int i = 1; i<A.size(); i++){
}
}
#include <iostream>
#include <algorithm>
#include <cstdlib>
using namespace std;
int solution(vector<int> &A) {
// write your code in C++14 (g++ 6.2.0)
//숫자가 정해져 있지 않아서 우선 처음으로 나뉘는 부분은 계산하자.
int left = A[0];
int right = 0;
for(int i = 1; i<A.size(); i++){
right += A[i];
}
int min = 100000001;
min = min(abs(left - right), min);
for(int i = 1; i<A.size(); i++){
}
}
#include <iostream>
#include <algorithm>
#include <cstdlib>
using namespace std;
int solution(vector<int> &A) {
// write your code in C++14 (g++ 6.2.0)
//숫자가 정해져 있지 않아서 우선 처음으로 나뉘는 부분은 계산하자.
int left = A[0];
int right = 0;
for(int i = 1; i<A.size(); i++){
right += A[i];
}
int answer = 100000001;
answer = min(abs(left - right), answer);
for(int i = 1; i<A.size(); i++){
}
}
#include <iostream>
#include <algorithm>
#include <cstdlib>
using namespace std;
int solution(vector<int> &A) {
// write your code in C++14 (g++ 6.2.0)
//숫자가 정해져 있지 않아서 우선 처음으로 나뉘는 부분은 계산하자.
int left = A[0];
int right = 0;
for(int i = 1; i<A.size(); i++){
right += A[i];
}
int answer = 100000001;
answer = min(abs(left - right), answer);
for(int i = 1; i<A.size(); i++){
left += A[i];
right -= A[i];
}
}
#include <iostream>
#include <algorithm>
#include <cstdlib>
using namespace std;
int solution(vector<int> &A) {
// write your code in C++14 (g++ 6.2.0)
//숫자가 정해져 있지 않아서 우선 처음으로 나뉘는 부분은 계산하자.
int left = A[0];
int right = 0;
for(int i = 1; i<A.size(); i++){
right += A[i];
}
int answer = 100000001;
answer = min(abs(left - right), answer);
for(int i = 1; i<A.size(); i++){
left += A[i];
right -= A[i];
answer = min(abs(left - right), answer);
}
return answer;
}
#include <iostream>
#include <algorithm>
#include <cstdlib>
using namespace std;
int solution(vector<int> &A) {
// write your code in C++14 (g++ 6.2.0)
//숫자가 정해져 있지 않아서 우선 처음으로 나뉘는 부분은 계산하자.
int left = A[0];
int right = 0;
for(int i = 1; i<A.size(); i++){
right += A[i];
}
int answer = 100000001;
answer = min(abs(left - right), answer);
for(int i = 1; i<A.size(); i++){
left += A[i];
right -= A[i];
answer = min(abs(left - right), answer);
}
return answer;
}
#include <iostream>
#include <algorithm>
#include <cstdlib>
using namespace std;
int solution(vector<int> &A) {
// write your code in C++14 (g++ 6.2.0)
//숫자가 정해져 있지 않아서 우선 처음으로 나뉘는 부분은 계산하자.
int left = A[0];
int right = 0;
for(int i = 1; i<A.size(); i++){
right += A[i];
}
int answer = 100000001;
answer = min(abs(left - right), answer);
for(int i = 1; i<A.size(); i++){
left += A[i];
right -= A[i];
answer = min(abs(left - right), answer);
}
return answer;
}
#include <iostream>
#include <algorithm>
#include <cstdlib>
using namespace std;
int solution(vector<int> &A) {
// write your code in C++14 (g++ 6.2.0)
//숫자가 정해져 있지 않아서 우선 처음으로 나뉘는 부분은 계산하자.
int left = A[0];
int right = 0;
for(int i = 1; i<A.size(); i++){
right += A[i];
}
int answer = 100000001;
answer = min(abs(left - right), answer);
for(int i = 1; i<A.size(); i++){
left += A[i];
right -= A[i];
answer = min(abs(left - right), answer);
}
return answer;
}
#include <iostream>
#include <algorithm>
#include <cstdlib>
using namespace std;
int solution(vector<int> &A) {
// write your code in C++14 (g++ 6.2.0)
//숫자가 정해져 있지 않아서 우선 처음으로 나뉘는 부분은 계산하자.
int left = A[0];
int right = 0;
for(int i = 1; i<A.size(); i++){
right += A[i];
}
int answer = 100000001;
answer = min(abs(left - right), answer);
for(int i = 1; i<A.size(); i++){
left += A[i];
right -= A[i];
answer = min(abs(left - right), answer);
}
return answer;
}
function result: 0
function result: 0
function result: 0
function result: 5
[-1000, 1000]
[1000, 1000]
[1, 1, 1, 1]
[1001, 1002, 1004, -1000]
#include <iostream>
#include <algorithm>
#include <cstdlib>
using namespace std;
int solution(vector<int> &A) {
// write your code in C++14 (g++ 6.2.0)
//숫자가 정해져 있지 않아서 우선 처음으로 나뉘는 부분은 계산하자.
int left = A[0];
int right = 0;
for(int i = 1; i<A.size(); i++){
right += A[i];
}
int answer = 100000001;
answer = min(abs(left - right), answer);
for(int i = 1; i<A.size()-1; i++){
left += A[i];
right -= A[i];
answer = min(abs(left - right), answer);
}
return answer;
}
#include <iostream>
#include <algorithm>
#include <cstdlib>
using namespace std;
int solution(vector<int> &A) {
// write your code in C++14 (g++ 6.2.0)
//숫자가 정해져 있지 않아서 우선 처음으로 나뉘는 부분은 계산하자.
int left = A[0];
int right = 0;
for(int i = 1; i<A.size(); i++){
right += A[i];
}
int answer = 100000001;
answer = min(abs(left - right), answer);
for(int i = 1; i<A.size()-1; i++){
left += A[i];
right -= A[i];
answer = min(abs(left - right), answer);
}
return answer;
}
function result: 2000
function result: 0
function result: 0
function result: 5
[-1000, 1000]
[1000, 1000]
[1, 1, 1, 1]
[1001, 1002, 1004, -1000]
#include <iostream>
#include <algorithm>
#include <cstdlib>
using namespace std;
int solution(vector<int> &A) {
// write your code in C++14 (g++ 6.2.0)
//숫자가 정해져 있지 않아서 우선 처음으로 나뉘는 부분은 계산하자.
int left = A[0];
int right = 0;
for(int i = 1; i<A.size(); i++){
right += A[i];
}
int answer = 100000001;
answer = min(abs(left - right), answer);
for(int i = 1; i<A.size()-1; i++){
left += A[i];
right -= A[i];
answer = min(abs(left - right), answer);
}
return answer;
}
#include <iostream>
#include <algorithm>
#include <cstdlib>
using namespace std;
int solution(vector<int> &A) {
// write your code in C++14 (g++ 6.2.0)
//숫자가 정해져 있지 않아서 우선 처음으로 나뉘는 부분은 계산하자.
int left = A[0];
int right = 0;
for(int i = 1; i<A.size(); i++){
right += A[i];
}
int answer = 100000001;
answer = min(abs(left - right), answer);
cout << answer << endl;
for(int i = 1; i<A.size()-1; i++){
left += A[i];
right -= A[i];
answer = min(abs(left - right), answer);
}
return answer;
}
function result: 2000
2000
function result: 0
0
function result: 0
2
function result: 5
5
[-1000, 1000]
[1000, 1000]
[1, 1, 1, 1]
[1001, 1002, 1004, -1000]
#include <iostream>
#include <algorithm>
#include <cstdlib>
using namespace std;
int solution(vector<int> &A) {
// write your code in C++14 (g++ 6.2.0)
//숫자가 정해져 있지 않아서 우선 처음으로 나뉘는 부분은 계산하자.
int left = A[0];
int right = 0;
for(int i = 1; i<A.size(); i++){
right += A[i];
}
int answer = 100000001;
answer = min(abs(left - right), answer);
for(int i = 1; i<A.size()-1; i++){
left += A[i];
right -= A[i];
answer = min(abs(left - right), answer);
}
return answer;
}
#include <iostream>
#include <algorithm>
#include <cstdlib>
using namespace std;
int solution(vector<int> &A) {
// write your code in C++14 (g++ 6.2.0)
//숫자가 정해져 있지 않아서 우선 처음으로 나뉘는 부분은 계산하자.
int left = A[0];
int right = 0;
for(int i = 1; i<A.size(); i++){
right += A[i];
}
int answer = 100000001;
answer = min(abs(left - right), answer);
for(int i = 1; i<A.size()-1; i++){
left += A[i];
right -= A[i];
answer = min(abs(left - right), answer);
}
return answer;
}
function result: 2000
function result: 0
function result: 0
function result: 5
[-1000, 1000]
[1000, 1000]
[1, 1, 1, 1]
[1001, 1002, 1004, -1000]
#include <iostream>
#include <algorithm>
#include <cstdlib>
using namespace std;
int solution(vector<int> &A) {
// write your code in C++14 (g++ 6.2.0)
//숫자가 정해져 있지 않아서 우선 처음으로 나뉘는 부분은 계산하자.
int left = A[0];
int right = 0;
for(int i = 1; i<A.size(); i++){
right += A[i];
}
int answer = 100000001;
answer = min(abs(left - right), answer);
for(int i = 1; i<A.size()-1; i++){
left += A[i];
right -= A[i];
answer = min(abs(left - right), answer);
}
return answer;
}
function result: 2000
function result: 0
function result: 0
function result: 5
[-1000, 1000]
[1000, 1000]
[1, 1, 1, 1]
[1001, 1002, 1004, -1000]
#include <iostream>
#include <algorithm>
#include <cstdlib>
using namespace std;
int solution(vector<int> &A) {
// write your code in C++14 (g++ 6.2.0)
//숫자가 정해져 있지 않아서 우선 처음으로 나뉘는 부분은 계산하자.
int left = A[0];
int right = 0;
for(int i = 1; i<A.size(); i++){
right += A[i];
}
int answer = 100000001;
answer = min(abs(left - right), answer);
for(int i = 1; i<A.size()-1; i++){
left += A[i];
right -= A[i];
answer = min(abs(left - right), answer);
}
return answer;
}
The solution obtained perfect score.