You are given integers K, M and a non-empty array A consisting of N integers. Every element of the array is not greater than M.
You should divide this array into K blocks of consecutive elements. The size of the block is any integer between 0 and N. Every element of the array should belong to some block.
The sum of the block from X to Y equals A[X] + A[X + 1] + ... + A[Y]. The sum of empty block equals 0.
The large sum is the maximal sum of any block.
For example, you are given integers K = 3, M = 5 and array A such that:
A[0] = 2 A[1] = 1 A[2] = 5 A[3] = 1 A[4] = 2 A[5] = 2 A[6] = 2The array can be divided, for example, into the following blocks:
- [2, 1, 5, 1, 2, 2, 2], [], [] with a large sum of 15;
- [2], [1, 5, 1, 2], [2, 2] with a large sum of 9;
- [2, 1, 5], [], [1, 2, 2, 2] with a large sum of 8;
- [2, 1], [5, 1], [2, 2, 2] with a large sum of 6.
The goal is to minimize the large sum. In the above example, 6 is the minimal large sum.
Write a function:
function solution(K, M, A);
that, given integers K, M and a non-empty array A consisting of N integers, returns the minimal large sum.
For example, given K = 3, M = 5 and array A such that:
A[0] = 2 A[1] = 1 A[2] = 5 A[3] = 1 A[4] = 2 A[5] = 2 A[6] = 2the function should return 6, as explained above.
Write an efficient algorithm for the following assumptions:
- N and K are integers within the range [1..100,000];
- M is an integer within the range [0..10,000];
- each element of array A is an integer within the range [0..M].
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(K, M, A) {
const minLargestSum = Math.max(...A);
const maxLargestSum = A.reduce((acc, value) => acc + value, 0);
console.log(minLargestSum);
console.log(maxLargestSum);
}
Invalid result type, integer expected, 'undefined' found Perhaps you are missing a 'return'?stdout:
5 15
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(K, M, A) {
let begin = Math.max(...A);
let end = A.reduce((acc, value) => acc + value, 0);
while (begin <= end) {
const mid = (begin + end) / 2;
let currentSum = 0;
let block = 1;
for (let i = 0; i < )
}
}
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(K, M, A) {
const N = A.length;
let begin = Math.max(...A);
let end = A.reduce((acc, value) => acc + value, 0);
while (begin <= end) {
const mid = (begin + end) / 2;
let currentSum = 0;
let block = 1;
for (let i = 0; i < N; i++) {
}
}
}
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(K, M, A) {
const N = A.length;
let begin = Math.max(...A);
let end = A.reduce((acc, value) => acc + value, 0);
while (begin <= end) {
const mid = (begin + end) / 2;
let currentSum = 0;
let block = 1;
for (let i = 0; i < N; i++) {
currentSum += A[i];
if
}
}
}
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(K, M, A) {
const N = A.length;
let begin = Math.max(...A);
let end = A.reduce((acc, value) => acc + value, 0);
while (begin <= end) {
const mid = (begin + end) / 2;
let currentSum = 0;
let block = 1;
for (let i = 0; i < N; i++) {
if (currentSum + A[i] > mid) {
}
}
}
}
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(K, M, A) {
const N = A.length;
let begin = Math.max(...A);
let end = A.reduce((acc, value) => acc + value, 0);
while (begin <= end) {
const mid = (begin + end) / 2;
let currentSum = 0;
let block = 1;
for (let i = 0; i < N; i++) {
if (currentSum + A[i] > mid) {
block++;
currentSum = A[i];
} else {
currentSum += A[i];
}
}
}
}
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(K, M, A) {
const N = A.length;
let begin = Math.max(...A);
let end = A.reduce((acc, value) => acc + value, 0);
while (begin <= end) {
const mid = (begin + end) / 2;
let currentSum = 0;
let block = 1;
for (let i = 0; i < N; i++) {
if (currentSum + A[i] > mid) {
block++;
currentSum = A[i];
if (block >= )
} else {
currentSum += A[i];
}
}
}
}
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(K, M, A) {
const N = A.length;
let begin = Math.max(...A);
let end = A.reduce((acc, value) => acc + value, 0);
while (begin <= end) {
const mid = (begin + end) / 2;
let currentSum = 0;
let blocks = 1;
for (let i = 0; i < N; i++) {
if (currentSum + A[i] > mid) {
blocks++;
currentSum = A[i];
if (block >= )
} else {
currentSum += A[i];
}
}
}
}
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(K, M, A) {
const N = A.length;
let begin = Math.max(...A);
let end = A.reduce((acc, value) => acc + value, 0);
while (begin <= end) {
const mid = (begin + end) / 2;
let currentSum = 0;
let blocks = 1;
for (let i = 0; i < N; i++) {
if (currentSum + A[i] > mid) {
blocks++;
currentSum = A[i];
if (blocks >= K) {
break;
}
} else {
currentSum += A[i];
}
}
}
}
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(K, M, A) {
const N = A.length;
let begin = Math.max(...A);
let end = A.reduce((acc, value) => acc + value, 0);
while (begin <= end) {
const mid = (begin + end) / 2;
let currentSum = 0;
let blocks = 1;
for (let i = 0; i < N; i++) {
if (currentSum + A[i] > mid) {
blocks++;
currentSum = A[i];
if (blocks >= K) {
break;
}
} else {
currentSum += A[i];
}
}
if (block > numberOfBlocks) {
begin = midpoint + 1;
// else, it's smaller
} else {
result = midpoint;
end = midpoint - 1;
}
}
}
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(K, M, A) {
const N = A.length;
let begin = Math.max(...A);
let end = A.reduce((acc, value) => acc + value, 0);
while (begin <= end) {
const mid = (begin + end) / 2;
let currentSum = 0;
let blocks = 1;
for (let i = 0; i < N; i++) {
if (currentSum + A[i] > mid) {
blocks++;
currentSum = A[i];
if (blocks >= K) {
break;
}
} else {
currentSum += A[i];
}
}
if (blocks > K) {
begin = mid + 1;
} else {
result = midpoint;
end = midpoint - 1;
}
}
}
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(K, M, A) {
const N = A.length;
let begin = Math.max(...A);
let end = A.reduce((acc, value) => acc + value, 0);
let result = 0;
while (begin <= end) {
const mid = (begin + end) / 2;
let currentSum = 0;
let blocks = 1;
for (let i = 0; i < N; i++) {
if (currentSum + A[i] > mid) {
blocks++;
currentSum = A[i];
if (blocks >= K) {
break;
}
} else {
currentSum += A[i];
}
}
if (blocks > K) {
begin = mid + 1;
} else {
result = mid;
end = mid - 1;
}
}
}
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(K, M, A) {
const N = A.length;
let begin = Math.max(...A);
let end = A.reduce((acc, value) => acc + value, 0);
let result = 0;
while (begin <= end) {
const mid = (begin + end) / 2;
let currentSum = 0;
let blocks = 1;
for (let i = 0; i < N; i++) {
if (currentSum + A[i] > mid) {
blocks++;
currentSum = A[i];
if (blocks >= K) {
break;
}
} else {
currentSum += A[i];
}
}
if (blocks > K) {
begin = mid + 1;
} else {
result = mid;
end = mid - 1;
}
}
return result;
}
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(K, M, A) {
const N = A.length;
let begin = Math.max(...A);
let end = A.reduce((acc, value) => acc + value, 0);
let result = 0;
while (begin <= end) {
const mid = (begin + end) / 2;
let currentSum = 0;
let blocks = 1;
for (let i = 0; i < N; i++) {
if (currentSum + A[i] > mid) {
blocks++;
currentSum = A[i];
if (blocks >= K) {
break;
}
} else {
currentSum += A[i];
}
}
if (blocks > K) {
begin = mid + 1;
} else {
result = mid;
end = mid - 1;
}
}
return result;
}
Invalid result type, integer expected, non-integer number found
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(K, M, A) {
const N = A.length;
let begin = Math.max(...A);
let end = A.reduce((acc, value) => acc + value, 0);
let result = 0;
while (begin <= end) {
const mid = (begin + end) / 2;
let currentSum = 0;
let blocks = 1;
for (let i = 0; i < N; i++) {
if (currentSum + A[i] > mid) {
blocks++;
currentSum = A[i];
if (blocks >= K) {
break;
}
} else {
currentSum += A[i];
}
}
if (blocks > K) {
begin = mid + 1;
} else {
result = mid;
end = mid - 1;
}
}
return result;
}
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(K, M, A) {
const N = A.length;
let begin = Math.max(...A);
let end = A.reduce((acc, value) => acc + value, 0);
let result = 0;
console.log(begin);
console.log(end);
while (begin <= end) {
const mid = (begin + end) / 2;
let currentSum = 0;
let blocks = 1;
for (let i = 0; i < N; i++) {
if (currentSum + A[i] > mid) {
blocks++;
currentSum = A[i];
if (blocks >= K) {
break;
}
} else {
currentSum += A[i];
}
}
if (blocks > K) {
begin = mid + 1;
} else {
result = mid;
end = mid - 1;
}
}
console.log(result);
return result;
}
Invalid result type, integer expected, non-integer number foundstdout:
5 15 5.5
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(K, M, A) {
const N = A.length;
let begin = Math.max(...A);
let end = A.reduce((acc, value) => acc + value, 0);
let result = 0;
console.log(begin);
console.log(end);
while (begin <= end) {
const mid = Math.(begin + end) / 2;
let currentSum = 0;
let blocks = 1;
for (let i = 0; i < N; i++) {
if (currentSum + A[i] > mid) {
blocks++;
currentSum = A[i];
if (blocks >= K) {
break;
}
} else {
currentSum += A[i];
}
}
if (blocks > K) {
begin = mid + 1;
} else {
result = mid;
end = mid - 1;
}
}
console.log(result);
return result;
}
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(K, M, A) {
const N = A.length;
let begin = Math.max(...A);
let end = A.reduce((acc, value) => acc + value, 0);
let result = 0;
console.log(begin);
console.log(end);
while (begin <= end) {
const mid = Math.round((begin + end) / 2);
let currentSum = 0;
let blocks = 1;
for (let i = 0; i < N; i++) {
if (currentSum + A[i] > mid) {
blocks++;
currentSum = A[i];
if (blocks >= K) {
break;
}
} else {
currentSum += A[i];
}
}
if (blocks > K) {
begin = mid + 1;
} else {
result = mid;
end = mid - 1;
}
}
console.log(result);
return result;
}
5 15 5
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(K, M, A) {
const N = A.length;
let begin = Math.max(...A);
let end = A.reduce((acc, value) => acc + value, 0);
let result = 0;
console.log(begin);
console.log(end);
while (begin <= end) {
const mid = Math.floor((begin + end) / 2);
let currentSum = 0;
let blocks = 1;
for (let i = 0; i < N; i++) {
if (currentSum + A[i] > mid) {
blocks++;
currentSum = A[i];
if (blocks >= K) {
break;
}
} else {
currentSum += A[i];
}
}
if (blocks > K) {
begin = mid + 1;
} else {
result = mid;
end = mid - 1;
}
}
console.log(result);
return result;
}
5 15 5
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(K, M, A) {
const N = A.length;
let begin = Math.max(...A);
let end = A.reduce((acc, value) => acc + value, 0);
let result = 0;
console.log(begin);
console.log(end);
while (begin <= end) {
const mid = Math.ceil((begin + end) / 2);
let currentSum = 0;
let blocks = 1;
for (let i = 0; i < N; i++) {
if (currentSum + A[i] > mid) {
blocks++;
currentSum = A[i];
if (blocks >= K) {
break;
}
} else {
currentSum += A[i];
}
}
if (blocks > K) {
begin = mid + 1;
} else {
result = mid;
end = mid - 1;
}
}
console.log(result);
return result;
}
5 15 5
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(K, M, A) {
const N = A.length;
let begin = Math.max(...A);
let end = A.reduce((acc, value) => acc + value, 0);
let result = 0;
console.log(begin);
console.log(end);
while (begin <= end) {
const mid = Math.f((begin + end) / 2);
let currentSum = 0;
let blocks = 1;
for (let i = 0; i < N; i++) {
if (currentSum + A[i] > mid) {
blocks++;
currentSum = A[i];
if (blocks >= K) {
break;
}
} else {
currentSum += A[i];
}
}
if (blocks > K) {
begin = mid + 1;
} else {
result = mid;
end = mid - 1;
}
}
console.log(result);
return result;
}
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(K, M, A) {
const N = A.length;
let begin = Math.max(...A);
let end = A.reduce((acc, value) => acc + value, 0);
let result = 0;
console.log(begin);
console.log(end);
while (begin <= end) {
const mid = Math.floor((begin + end) / 2);
let currentSum = 0;
let blocks = 1;
for (let i = 0; i < N; i++) {
if (currentSum + A[i] > mid) {
blocks++;
currentSum = A[i];
if (blocks >= K) {
break;
}
} else {
currentSum += A[i];
}
}
if (blocks > K) {
begin = mid + 1;
} else {
result = mid;
end = mid - 1;
}
}
console.log(result);
return result;
}
5 15 5
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(K, M, A) {
const N = A.length;
let begin = Math.max(...A);
let end = A.reduce((acc, value) => acc + value, 0);
let result = 0;
console.log(begin);
console.log(end);
while (begin <= end) {
const mid = Math.floor((begin + end) / 2);
let currentSum = 0;
let blocks = 1;
for (let i = 0; i < N; i++) {
console.log(currentSum);
if (currentSum + A[i] > mid) {
blocks++;
currentSum = A[i];
if (blocks >= K) {
break;
}
} else {
currentSum += A[i];
}
}
if (blocks > K) {
begin = mid + 1;
} else {
result = mid;
end = mid - 1;
}
}
console.log(result);
return result;
}
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(K, M, A) {
const N = A.length;
let begin = Math.max(...A);
let end = A.reduce((acc, value) => acc + value, 0);
let result = 0;
console.log(begin);
console.log(end);
while (begin <= end) {
const mid = Math.floor((begin + end) / 2);
let currentSum = 0;
let blocks = 1;
for (let i = 0; i < N; i++) {
console.log(currentSum);
console
if (currentSum + A[i] > mid) {
blocks++;
currentSum = A[i];
if (blocks >= K) {
break;
}
} else {
currentSum += A[i];
}
}
if (blocks > K) {
begin = mid + 1;
} else {
result = mid;
end = mid - 1;
}
}
console.log(result);
return result;
}
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(K, M, A) {
const N = A.length;
let begin = Math.max(...A);
let end = A.reduce((acc, value) => acc + value, 0);
let result = 0;
console.log(begin);
console.log(end);
while (begin <= end) {
const mid = Math.floor((begin + end) / 2);
let currentSum = 0;
let blocks = 1;
for (let i = 0; i < N; i++) {
console.log(currentSum);
console.log(blocks);
if (currentSum + A[i] > mid) {
blocks++;
currentSum = A[i];
if (blocks >= K) {
break;
}
} else {
currentSum += A[i];
}
}
if (blocks > K) {
begin = mid + 1;
} else {
result = mid;
end = mid - 1;
}
}
console.log(result);
return result;
}
5 15 0 1 2 1 3 1 8 1 9 1 2 2 4 2 0 1 2 1 3 1 5 2 6 2 0 1 2 1 3 1 5 2 5
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(K, M, A) {
const N = A.length;
let begin = Math.max(...A);
let end = A.reduce((acc, value) => acc + value, 0);
let result = 0;
console.log(begin);
console.log(end);
while (begin <= end) {
const mid = Math.floor((begin + end) / 2);
let currentSum = 0;
let blocks = 1;
console.log('here')
console.log(begin);
console.log(mid);
console.log(end);
for (let i = 0; i < N; i++) {
console.log(currentSum);
console.log(blocks);
if (currentSum + A[i] > mid) {
blocks++;
currentSum = A[i];
if (blocks >= K) {
break;
}
} else {
currentSum += A[i];
}
}
if (blocks > K) {
begin = mid + 1;
} else {
result = mid;
end = mid - 1;
}
}
console.log(result);
return result;
}
5 15 here 5 10 15 0 1 2 1 3 1 8 1 9 1 2 2 4 2 here 5 7 9 0 1 2 1 3 1 5 2 6 2 here 5 5 6 0 1 2 1 3 1 5 2 5
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(K, M, A) {
const N = A.length;
let begin = Math.max(...A);
let end = A.reduce((acc, value) => acc + value, 0);
let result = 0;
console.log(begin);
console.log(end);
while (begin <= end) {
const mid = Math.floor((begin + end) / 2);
let currentSum = 0;
let blocks = 1;
console.log('here')
console.log(begin);
console.log(mid);
console.log(end);
for (let i = 0; i < N; i++) {
console.log(currentSum);
console.log(blocks);
if (currentSum + A[i] > mid) {
blocks++;
currentSum = A[i];
if (blocks > K) {
break;
}
} else {
currentSum += A[i];
}
}
if (blocks > K) {
begin = mid + 1;
} else {
result = mid;
end = mid - 1;
}
}
console.log(result);
return result;
}
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(K, M, A) {
const N = A.length;
let begin = Math.max(...A);
let end = A.reduce((acc, value) => acc + value, 0);
let result = 0;
console.log(begin);
console.log(end);
while (begin <= end) {
const mid = Math.floor((begin + end) / 2);
let currentSum = 0;
let blocks = 1;
console.log('here')
console.log(begin);
console.log(mid);
console.log(end);
for (let i = 0; i < N; i++) {
console.log(currentSum);
console.log(blocks);
if (currentSum + A[i] > mid) {
blocks++;
currentSum = A[i];
if (blocks > K) {
break;
}
} else {
currentSum += A[i];
}
}
if (blocks > K) {
begin = mid + 1;
} else {
result = mid;
end = mid - 1;
}
}
console.log(result);
return result;
}
5 15 here 5 10 15 0 1 2 1 3 1 8 1 9 1 2 2 4 2 here 5 7 9 0 1 2 1 3 1 5 2 6 2 2 3 4 3 here 5 5 6 0 1 2 1 3 1 5 2 1 3 3 3 5 3 here 6 6 6 0 1 2 1 3 1 5 2 6 2 2 3 4 3 6
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(K, M, A) {
const N = A.length;
let begin = Math.max(...A);
let end = A.reduce((acc, value) => acc + value, 0);
let result = 0;
while (begin <= end) {
const mid = Math.floor((begin + end) / 2);
let currentSum = 0;
let blocks = 1;
for (let i = 0; i < N; i++) {
if (currentSum + A[i] > mid) {
blocks++;
currentSum = A[i];
if (blocks > K) {
break;
}
} else {
currentSum += A[i];
}
}
if (blocks > K) {
begin = mid + 1;
} else {
result = mid;
end = mid - 1;
}
}
return result;
}
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(K, M, A) {
const N = A.length;
let begin = Math.max(...A);
let end = A.reduce((acc, value) => acc + value, 0);
let result = 0;
while (begin <= end) {
const mid = Math.floor((begin + end) / 2);
let currentSum = 0;
let blocks = 1;
for (let i = 0; i < N; i++) {
if (currentSum + A[i] > mid) {
blocks++;
currentSum = A[i];
if (blocks > K) {
break;
}
} else {
currentSum += A[i];
}
}
if (blocks > K) {
begin = mid + 1;
} else {
result = mid;
end = mid - 1;
}
}
return result;
}
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(K, M, A) {
const N = A.length;
let begin = Math.max(...A);
let end = A.reduce((acc, value) => acc + value, 0);
let result = 0;
while (begin <= end) {
const mid = Math.floor((begin + end) / 2);
let currentSum = 0;
let blocks = 1;
for (let i = 0; i < N; i++) {
if (currentSum + A[i] > mid) {
blocks++;
currentSum = A[i];
if (blocks > K) {
break;
}
} else {
currentSum += A[i];
}
}
if (blocks > K) {
begin = mid + 1;
} else {
result = mid;
end = mid - 1;
}
}
return result;
}
The solution obtained perfect score.