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].
// you can use includes, for example:
// #include <algorithm>
// you can write to stdout for debugging purposes, e.g.
// cout << "this is a debug message" << endl;
int solution(vector<int> &A) {
// write your code in C++14 (g++ 6.2.0)
for (int i = 0; i < A.size(); i++) {
if (i == 0) conti
A[i] += A[i-1];
}
}
// you can use includes, for example:
// #include <algorithm>
// you can write to stdout for debugging purposes, e.g.
// cout << "this is a debug message" << endl;
int solution(vector<int> &A) {
// write your code in C++14 (g++ 6.2.0)
for (int i = 0; i < A.size(); i++) {
if (i == 0) continue;
A[i] += A[i-1];
}
}
// you can use includes, for example:
// #include <algorithm>
// you can write to stdout for debugging purposes, e.g.
// cout << "this is a debug message" << endl;
int solution(vector<int> &A) {
// write your code in C++14 (g++ 6.2.0)
for (int i = 0; i < A.size(); i++) {
if (i == 0) continue;
A[i] += A[i-1];
}
int ans = INT_MAX;
for () {
ans = min(ans, );
}
return ans;
}
// you can use includes, for example:
// #include <algorithm>
// you can write to stdout for debugging purposes, e.g.
// cout << "this is a debug message" << endl;
int solution(vector<int> &A) {
// write your code in C++14 (g++ 6.2.0)
for (int i = 0; i < A.size(); i++) {
if (i == 0) continue;
A[i] += A[i-1];
}
int ans = INT_MAX;
for (int i = 0; i < A.size(); i++) {
int l = A[i] - A[0];
int r = A[A.size() - 1] - A[]
ans = min(ans, );
}
return ans;
}
// you can use includes, for example:
// #include <algorithm>
// you can write to stdout for debugging purposes, e.g.
// cout << "this is a debug message" << endl;
int solution(vector<int> &A) {
// write your code in C++14 (g++ 6.2.0)
for (int i = 0; i < A.size(); i++) {
if (i == 0) continue;
A[i] += A[i-1];
}
int ans = INT_MAX;
for (int i = 0; i < A.size(); i++) {
int l = A[i] - A[0];
int r = A[A.size() - 1] - A[i];
ans = min(ans, r-l);
}
return ans;
}
func.cpp: In function 'int solution(std::vector<int>&)': func.cpp:9:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare] for (int i = 0; i < A.size(); i++) { ~~^~~~~~~~~~ func.cpp:13:15: error: 'INT_MAX' was not declared in this scope int ans = INT_MAX; ^~~~~~~ func.cpp:14:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare] for (int i = 0; i < A.size(); i++) { ~~^~~~~~~~~~
// you can use includes, for example:
// #include <algorithm>
#include <climits>
// you can write to stdout for debugging purposes, e.g.
// cout << "this is a debug message" << endl;
int solution(vector<int> &A) {
// write your code in C++14 (g++ 6.2.0)
for (int i = 0; i < A.size(); i++) {
if (i == 0) continue;
A[i] += A[i-1];
}
int ans = INT_MAX;
for (int i = 0; i < A.size(); i++) {
int l = A[i] - A[0];
int r = A[A.size() - 1] - A[i];
ans = min(ans, r-l);
}
return ans;
}
// you can use includes, for example:
// #include <algorithm>
#include <climits>
// you can write to stdout for debugging purposes, e.g.
// cout << "this is a debug message" << endl;
int solution(vector<int> &A) {
// write your code in C++14 (g++ 6.2.0)
for (int i = 0; i < A.size(); i++) {
if (i == 0) continue;
A[i] += A[i-1];
}
int ans = INT_MAX;
for (int i = 1; i < A.size(); i++) {
int l = A[i] - A[0];
int r = A[A.size() - 1] - A[i];
ans = min(ans, r-l);
}
return ans;
}
// you can use includes, for example:
// #include <algorithm>
#include <climits>
// you can write to stdout for debugging purposes, e.g.
// cout << "this is a debug message" << endl;
int solution(vector<int> &A) {
// write your code in C++14 (g++ 6.2.0)
for (int i = 0; i < A.size(); i++) {
if (i == 0) continue;
A[i] += A[i-1];
}
int ans = INT_MAX;
for (int i = 1; i < A.size(); i++) {
int l = A[i] - A[0];
int r = A[A.size() - 1] - A[i];
ans = min(ans, r-l);
}
return ans;
}
// you can use includes, for example:
// #include <algorithm>
#include <climits>
// you can write to stdout for debugging purposes, e.g.
// cout << "this is a debug message" << endl;
int solution(vector<int> &A) {
// write your code in C++14 (g++ 6.2.0)
for (int i = 0; i < A.size(); i++) {
if (i == 0) continue;
A[i] += A[i-1];
}
int ans = INT_MAX;
A[]
for (int i = 1; i < A.size(); i++) {
int l = A[i] - A[0];
int r = A[A.size() - 1] - A[i];
ans = min(ans, r-l);
}
return ans;
}
// you can use includes, for example:
// #include <algorithm>
#include <climits>
// you can write to stdout for debugging purposes, e.g.
// cout << "this is a debug message" << endl;
int solution(vector<int> &A) {
// write your code in C++14 (g++ 6.2.0)
for (int i = 0; i < A.size(); i++) {
if (i == 0) continue;
A[i] += A[i-1];
}
int ans = INT_MAX;
A[0] = 0;
for (int i = 1; i < A.size(); i++) {
int l = A[i] - A[0];
int r = A[A.size() - 1] - A[i];
ans = min(ans, r-l);
}
return ans;
}
// you can use includes, for example:
// #include <algorithm>
#include <climits>
// you can write to stdout for debugging purposes, e.g.
// cout << "this is a debug message" << endl;
int solution(vector<int> &A) {
// write your code in C++14 (g++ 6.2.0)
for (int i = 0; i < A.size(); i++) {
if (i == 0) continue;
A[i] += A[i-1];
}
int ans = INT_MAX;
for (int i = 1; i < A.size(); i++) {
int l = A[i] - A[0];
int r = A[A.size() - 1] - A[i];
ans = min(ans, r-l);
}
return ans;
}
// you can use includes, for example:
// #include <algorithm>
#include <climits>
// you can write to stdout for debugging purposes, e.g.
// cout << "this is a debug message" << endl;
int solution(vector<int> &A) {
// write your code in C++14 (g++ 6.2.0)
for (int i = 0; i < A.size(); i++) {
if (i == 0) continue;
A[i] += A[i-1];
}
int ans = INT_MAX;
for (int i = 1; i < A.size(); i++) {
int l = A[i] - A[0];
int r = A[A.size() - 1] - A[i];
cout << i << " " << l << " " << r << endl;
ans = min(ans, r-l);
}
return ans;
}
1 1 9 2 3 7 3 7 3 4 10 0
// you can use includes, for example:
// #include <algorithm>
#include <climits>
// you can write to stdout for debugging purposes, e.g.
// cout << "this is a debug message" << endl;
int solution(vector<int> &A) {
// write your code in C++14 (g++ 6.2.0)
for (int i = 0; i < A.size(); i++) {
if (i == 0) continue;
A[i] += A[i-1];
}
int ans = INT_MAX;
for (int i = 1; i < A.size(); i++) {
int l = A[i] - A[0];
int r = A[A.size() - 1] - A[i-];
cout << i << " " << l << " " << r << endl;
ans = min(ans, r-l);
}
return ans;
}
// you can use includes, for example:
// #include <algorithm>
#include <climits>
// you can write to stdout for debugging purposes, e.g.
// cout << "this is a debug message" << endl;
int solution(vector<int> &A) {
// write your code in C++14 (g++ 6.2.0)
for (int i = 0; i < A.size(); i++) {
if (i == 0) continue;
A[i] += A[i-1];
}
int ans = INT_MAX;
for (int i = 1; i < A.size(); i++) {
int l = A[i] - A[0];
int r = A[A.size() - 1] - A[i-1];
cout << i << " " << l << " " << r << endl;
ans = min(ans, r-l);
}
return ans;
}
1 1 10 2 3 9 3 7 7 4 10 3
// you can use includes, for example:
// #include <algorithm>
#include <climits>
// you can write to stdout for debugging purposes, e.g.
// cout << "this is a debug message" << endl;
int solution(vector<int> &A) {
// write your code in C++14 (g++ 6.2.0)
for (int i = 0; i < A.size(); i++) {
if (i == 0) continue;
A[i] += A[i-1];
}
int ans = INT_MAX;
for (int i = 1; i < A.size(); i++) {
int l = A[i];
int r = A[A.size() - 1] - A[i-1];
cout << i << " " << l << " " << r << endl;
ans = min(ans, r-l);
}
return ans;
}
// you can use includes, for example:
// #include <algorithm>
#include <climits>
// you can write to stdout for debugging purposes, e.g.
// cout << "this is a debug message" << endl;
int solution(vector<int> &A) {
// write your code in C++14 (g++ 6.2.0)
for (int i = 0; i < A.size(); i++) {
if (i == 0) continue;
A[i] += A[i-1];
}
int ans = INT_MAX;
for (int i = 1; i < A.size(); i++) {
int l = A[i];
int r = A[A.size() - 1] - A[i-1];
cout << i << " " << l << " " << r << endl;
ans = min(ans, r-l);
}
return ans;
}
1 4 10 2 6 9 3 10 7 4 13 3
// you can use includes, for example:
// #include <algorithm>
#include <climits>
// you can write to stdout for debugging purposes, e.g.
// cout << "this is a debug message" << endl;
int solution(vector<int> &A) {
// write your code in C++14 (g++ 6.2.0)
for (int i = 0; i < A.size(); i++) {
if (i == 0) continue;
A[i] += A[i-1];
}
int ans = INT_MAX;
for (int i = 1; i < A.size(); i++) {
int l = A[i-1];
int r = A[A.size() - 1] - A[i-1];
cout << i << " " << l << " " << r << endl;
ans = min(ans, r-l);
}
return ans;
}
1 3 10 2 4 9 3 6 7 4 10 3
// you can use includes, for example:
// #include <algorithm>
#include <climits>
// you can write to stdout for debugging purposes, e.g.
// cout << "this is a debug message" << endl;
int solution(vector<int> &A) {
// write your code in C++14 (g++ 6.2.0)
for (int i = 0; i < A.size(); i++) {
if (i == 0) continue;
A[i] += A[i-1];
}
int ans = INT_MAX;
for (int i = 1; i < A.size(); i++) {
int l = A[i-1];
int r = A[A.size() - 1] - A[i-1];
cout << i << " " << l << " " << r << endl;
ans = min(ans, abs(r-l));
}
return ans;
}
1 3 10 2 4 9 3 6 7 4 10 3
// you can use includes, for example:
// #include <algorithm>
#include <climits>
// you can write to stdout for debugging purposes, e.g.
// cout << "this is a debug message" << endl;
int solution(vector<int> &A) {
// write your code in C++14 (g++ 6.2.0)
for (int i = 0; i < A.size(); i++) {
if (i == 0) continue;
A[i] += A[i-1];
}
int ans = INT_MAX;
for (int i = 1; i < A.size(); i++) {
int l = A[i-1];
int r = A[A.size() - 1] - A[i-1];
ans = min(ans, abs(r-l));
}
return ans;
}
// you can use includes, for example:
// #include <algorithm>
#include <climits>
// you can write to stdout for debugging purposes, e.g.
// cout << "this is a debug message" << endl;
int solution(vector<int> &A) {
// write your code in C++14 (g++ 6.2.0)
for (int i = 0; i < A.size(); i++) {
if (i == 0) continue;
A[i] += A[i-1];
}
int ans = INT_MAX;
for (int i = 1; i < A.size(); i++) {
int l = A[i-1];
int r = A[A.size() - 1] - A[i-1];
ans = min(ans, abs(r-l));
}
return ans;
}
// you can use includes, for example:
// #include <algorithm>
#include <climits>
// you can write to stdout for debugging purposes, e.g.
// cout << "this is a debug message" << endl;
int solution(vector<int> &A) {
// write your code in C++14 (g++ 6.2.0)
for (int i = 0; i < A.size(); i++) {
if (i == 0) continue;
A[i] += A[i-1];
}
int ans = INT_MAX;
for (int i = 1; i < A.size(); i++) {
int l = A[i-1];
int r = A[A.size() - 1] - A[i-1];
ans = min(ans, abs(r-l));
}
return ans;
}
// you can use includes, for example:
// #include <algorithm>
#include <climits>
// you can write to stdout for debugging purposes, e.g.
// cout << "this is a debug message" << endl;
int solution(vector<int> &A) {
// write your code in C++14 (g++ 6.2.0)
for (int i = 0; i < A.size(); i++) {
if (i == 0) continue;
A[i] += A[i-1];
}
int ans = INT_MAX;
for (int i = 1; i < A.size(); i++) {
int l = A[i-1];
int r = A[A.size() - 1] - A[i-1];
ans = min(ans, abs(r-l));
}
return ans;
}
The solution obtained perfect score.