A non-empty array A consisting of N integers is given. A pair of integers (P, Q), such that 0 ≤ P < Q < N, is called a slice of array A (notice that the slice contains at least two elements). The average of a slice (P, Q) is the sum of A[P] + A[P + 1] + ... + A[Q] divided by the length of the slice. To be precise, the average equals (A[P] + A[P + 1] + ... + A[Q]) / (Q − P + 1).
For example, array A such that:
A[0] = 4 A[1] = 2 A[2] = 2 A[3] = 5 A[4] = 1 A[5] = 5 A[6] = 8contains the following example slices:
- slice (1, 2), whose average is (2 + 2) / 2 = 2;
- slice (3, 4), whose average is (5 + 1) / 2 = 3;
- slice (1, 4), whose average is (2 + 2 + 5 + 1) / 4 = 2.5.
The goal is to find the starting position of a slice whose average is minimal.
Write a function:
function solution(A);
that, given a non-empty array A consisting of N integers, returns the starting position of the slice with the minimal average. If there is more than one slice with a minimal average, you should return the smallest starting position of such a slice.
For example, given array A such that:
A[0] = 4 A[1] = 2 A[2] = 2 A[3] = 5 A[4] = 1 A[5] = 5 A[6] = 8the 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 [−10,000..10,000].
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(A) {
// write your code in JavaScript (Node.js 8.9.4)
let sum = [0];
for (let i = 1; i <= A.length; i++) {
sum[i] = A[i-1] + sum[i-1];
}
let minIdx = 0;
let minAvg =
}
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(A) {
// write your code in JavaScript (Node.js 8.9.4)
let sum = [0];
for (let i = 1; i <= A.length; i++) {
sum[i] = A[i-1] + sum[i-1];
}
let minIdx = 0;
let minAvg = sum[2]/
}
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(A) {
// write your code in JavaScript (Node.js 8.9.4)
let sum = [0];
for (let i = 1; i <= A.length; i++) {
sum[i] = A[i-1] + sum[i-1];
}
let minIdx = 0;
let minAvg = sum[2] / 2.0;
}
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(A) {
// write your code in JavaScript (Node.js 8.9.4)
let sum = [0];
for (let i = 1; i <= A.length; i++) {
sum[i] = A[i-1] + sum[i-1];
}
let minIdx = 0;
let minAvg = sum[2] / 2.0;
let idx = 0;
for (let i = 0; i < s)
}
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(A) {
// write your code in JavaScript (Node.js 8.9.4)
let sum = [0];
for (let i = 1; i <= A.length; i++) {
sum[i] = A[i-1] + sum[i-1];
}
let minIdx = 0;
let minAvg = sum[2] / 2.0;
let idx = 0;
for (let i = 0; i < A.length; i++) {
}
}
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(A) {
// write your code in JavaScript (Node.js 8.9.4)
let sum = [0];
for (let i = 1; i <= A.length; i++) {
sum[i] = A[i-1] + sum[i-1];
}
let minIdx = 0;
let minAvg = sum[2] / 2.0;
let idx = 0;
for (let i = 0; i < A.length; i++) {
let avg =
}
}
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(A) {
// write your code in JavaScript (Node.js 8.9.4)
let sum = [0];
for (let i = 1; i <= A.length; i++) {
sum[i] = A[i-1] + sum[i-1];
}
let minIdx = 0;
let minAvg = sum[2] / 2.0;
let idx = 0;
for (let i = 0; i < A.length; i++) {
let avg = (sum[])
}
}
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(A) {
// write your code in JavaScript (Node.js 8.9.4)
let sum = [0];
for (let i = 1; i <= A.length; i++) {
sum[i] = A[i-1] + sum[i-1];
}
let minIdx = 0;
let minAvg = sum[2] / 2.0;
let idx = 0;
for (let i = 2; i < A.length; i++) {
let avg = (sum[])
}
}
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(A) {
// write your code in JavaScript (Node.js 8.9.4)
let sum = [0];
for (let i = 1; i <= A.length; i++) {
sum[i] = A[i-1] + sum[i-1];
}
let minIdx = 0;
let minAvg = sum[2] / 2.0;
let idx = 0;
for (let i = 2; i < A.length; i++) {
let avg = (sum[i+1] - sum[idx])
}
}
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(A) {
// write your code in JavaScript (Node.js 8.9.4)
let sum = [0];
for (let i = 1; i <= A.length; i++) {
sum[i] = A[i-1] + sum[i-1];
}
let minIdx = 0;
let minAvg = sum[2] / 2.0;
let idx = 0;
for (let i = 2; i < A.length; i++) {
let avg = (sum[i+1] - sum[idx])/(i-idx+1);
let avg2 =
}
}
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(A) {
// write your code in JavaScript (Node.js 8.9.4)
let sum = [0];
for (let i = 1; i <= A.length; i++) {
sum[i] = A[i-1] + sum[i-1];
}
let minIdx = 0;
let minAvg = sum[2] / 2.0;
let idx = 0;
for (let i = 2; i < A.length; i++) {
let avg = (sum[i+1] - sum[idx])/(i-idx+1);
let avg2 = (A[i-1])
}
}
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(A) {
// write your code in JavaScript (Node.js 8.9.4)
let sum = [0];
for (let i = 1; i <= A.length; i++) {
sum[i] = A[i-1] + sum[i-1];
}
let minIdx = 0;
let minAvg = sum[2] / 2.0;
let idx = 0;
for (let i = 2; i < A.length; i++) {
let avg = (sum[i+1] - sum[idx])/(i-idx+1);
let avg2 = (A[i-1] + A[i])/
}
}
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(A) {
// write your code in JavaScript (Node.js 8.9.4)
let sum = [0];
for (let i = 1; i <= A.length; i++) {
sum[i] = A[i-1] + sum[i-1];
}
let minIdx = 0;
let minAvg = sum[2] / 2.0;
let idx = 0;
for (let i = 2; i < A.length; i++) {
let avg = (sum[i+1] - sum[idx]) / (i-idx+1);
let avg2 = (A[i-1] + A[i]) / 2.0;
}
}
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(A) {
// write your code in JavaScript (Node.js 8.9.4)
let sum = [0];
for (let i = 1; i <= A.length; i++) {
sum[i] = A[i-1] + sum[i-1];
}
let minIdx = 0;
let minAvg = sum[2] / 2.0;
let idx = 0;
for (let i = 2; i < A.length; i++) {
let avg = (sum[i+1] - sum[idx]) / (i-idx+1);
let avg2 = (A[i-1] + A[i]) / 2.0;
if (avg2 < avg) {
avg = avg2;
idx = i-1
}
}
}
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(A) {
// write your code in JavaScript (Node.js 8.9.4)
let sum = [0];
for (let i = 1; i <= A.length; i++) {
sum[i] = A[i-1] + sum[i-1];
}
let minIdx = 0;
let minAvg = sum[2] / 2.0;
let idx = 0;
for (let i = 2; i < A.length; i++) {
let avg = (sum[i+1] - sum[idx]) / (i-idx+1);
let avg2 = (A[i-1] + A[i]) / 2.0;
if (avg2 < avg) {
avg = avg2;
idx = i - 1;
}
if ()
}
}
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(A) {
// write your code in JavaScript (Node.js 8.9.4)
let sum = [0];
for (let i = 1; i <= A.length; i++) {
sum[i] = A[i-1] + sum[i-1];
}
let minIdx = 0;
let minAvg = sum[2] / 2.0;
let idx = 0;
for (let i = 2; i < A.length; i++) {
let avg = (sum[i+1] - sum[idx]) / (i-idx+1);
let avg2 = (A[i-1] + A[i]) / 2.0;
if (avg2 < avg) {
avg = avg2;
idx = i - 1;
}
if (avg < minAvg) {
}
}
}
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(A) {
// write your code in JavaScript (Node.js 8.9.4)
let sum = [0];
for (let i = 1; i <= A.length; i++) {
sum[i] = A[i-1] + sum[i-1];
}
let minIdx = 0;
let minAvg = sum[2] / 2.0;
let idx = 0;
for (let i = 2; i < A.length; i++) {
let avg = (sum[i+1] - sum[idx]) / (i-idx+1);
let avg2 = (A[i-1] + A[i]) / 2.0;
if (avg2 < avg) {
avg = avg2;
idx = i - 1;
}
if (avg < minAvg) {
minAvg = avg;
minIdx = idx;
}
}
return minIdx;
}
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(A) {
// write your code in JavaScript (Node.js 8.9.4)
let sum = [0];
for (let i = 1; i <= A.length; i++) {
sum[i] = A[i-1] + sum[i-1];
}
let minIdx = 0;
let minAvg = sum[2] / 2.0;
let idx = 0;
for (let i = 2; i < A.length; i++) {
let avg = (sum[i+1] - sum[idx]) / (i-idx+1);
let avg2 = (A[i-1] + A[i]) / 2.0;
if (avg2 < avg) {
avg = avg2;
idx = i - 1;
}
if (avg < minAvg) {
minAvg = avg;
minIdx = idx;
}
}
return minIdx;
}
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(A) {
// write your code in JavaScript (Node.js 8.9.4)
let sum = [0];
for (let i = 1; i <= A.length; i++) {
sum[i] = A[i-1] + sum[i-1];
}
let minIdx = 0;
let minAvg = sum[2] / 2.0;
let idx = 0;
for (let i = 2; i < A.length; i++) {
let avg = (sum[i+1] - sum[idx]) / (i-idx+1);
let avg2 = (A[i-1] + A[i]) / 2.0;
if (avg2 < avg) {
avg = avg2;
idx = i - 1;
}
if (avg < minAvg) {
minAvg = avg;
minIdx = idx;
}
}
return minIdx;
}
[-3, -5, -8, -4, -10]
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(A) {
// write your code in JavaScript (Node.js 8.9.4)
let sum = [0];
for (let i = 1; i <= A.length; i++) {
sum[i] = A[i-1] + sum[i-1];
}
let minIdx = 0;
let minAvg = sum[2] / 2.0;
let idx = 0;
for (let i = 2; i < A.length; i++) {
let avg = (sum[i+1] - sum[idx]) / (i-idx+1);
let avg2 = (A[i-1] + A[i]) / 2.0;
if (avg2 < avg) {
avg = avg2;
idx = i - 1;
}
if (avg < minAvg) {
minAvg = avg;
minIdx = idx;
}
}
return minIdx;
}
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(A) {
// write your code in JavaScript (Node.js 8.9.4)
let sum = [0];
for (let i = 1; i <= A.length; i++) {
sum[i] = A[i-1] + sum[i-1];
}
let minIdx = 0;
let minAvg = sum[2] / 2.0;
let idx = 0;
for (let i = 2; i < A.length; i++) {
let avg = (sum[i+1] - sum[idx]) / (i-idx+1);
let avg2 = (A[i-1] + A[i]) / 2.0;
if (avg2 < avg) {
avg = avg2;
idx = i - 1;
}
if (avg < minAvg) {
minAvg = avg;
minIdx = idx;
}
}
return minIdx;
}
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(A) {
// write your code in JavaScript (Node.js 8.9.4)
let sum = [0];
for (let i = 1; i <= A.length; i++) {
sum[i] = A[i-1] + sum[i-1];
}
let minIdx = 0;
let minAvg = sum[2] / 2.0;
let idx = 0;
for (let i = 2; i < A.length; i++) {
let avg = (sum[i+1] - sum[idx]) / (i-idx+1);
let avg2 = (A[i-1] + A[i]) / 2.0;
if (avg2 < avg) {
avg = avg2;
idx = i - 1;
}
if (avg < minAvg) {
minAvg = avg;
minIdx = idx;
}
}
return minIdx;
}
[-3, -5, -8, -4, -10]
[-3, 3, -3, 3, -3]
[3, -10, 3, 3, -10, 3, 3]
[3, -10, 3, 3, -10, 2, 3]
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function result: 2
function result: 0
function result: 0
function result: 4
function result: 0
function result: 1
function result: 930
function result: 930
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(A) {
// write your code in JavaScript (Node.js 8.9.4)
let sum = [0];
for (let i = 1; i <= A.length; i++) {
sum[i] = A[i-1] + sum[i-1];
}
let minIdx = 0;
let minAvg = sum[2] / 2.0;
let idx = 0;
for (let i = 2; i < A.length; i++) {
let avg = (sum[i+1] - sum[idx]) / (i-idx+1);
let avg2 = (A[i-1] + A[i]) / 2.0;
if (avg2 < avg) {
avg = avg2;
idx = i - 1;
}
if (avg < minAvg) {
minAvg = avg;
minIdx = idx;
}
}
return minIdx;
}
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(A) {
// write your code in JavaScript (Node.js 8.9.4)
let sum = [0];
for (let i = 1; i <= A.length; i++) {
sum[i] = A[i-1] + sum[i-1];
}
let minIdx = 0;
let minAvg = sum[2] / 2.0;
let idx = 0;
for (let i = 2; i < A.length; i++) {
let avg = (sum[i+1] - sum[idx]) / (i-idx+1);
let avg2 = (A[i-1] + A[i]) / 2.0;
if (avg2 < avg) {
avg = avg2;
idx = i - 1;
}
if (avg < minAvg) {
minAvg = avg;
minIdx = idx;
}
}
return minIdx;
}
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(A) {
// write your code in JavaScript (Node.js 8.9.4)
let sum = [0];
for (let i = 1; i <= A.length; i++) {
sum[i] = A[i-1] + sum[i-1];
}
let minIdx = 0;
let minAvg = sum[2] / 2.0;
let idx = 0;
for (let i = 2; i < A.length; i++) {
let avg = (sum[i+1] - sum[idx]) / (i-idx+1);
let avg2 = (A[i-1] + A[i]) / 2.0;
if (avg2 < avg) {
avg = avg2;
idx = i - 1;
}
if (avg < minAvg) {
minAvg = avg;
minIdx = idx;
}
}
return minIdx;
}
[-3, -5, -8, -4, -10]
[10, 10, 2, 2]
[-3, 3, -3, 3, -3]
[3, -10, 3, 3, -10, 3, 3]
[3, -10, 3, 3, -10, 2, 3]
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function result: 2
function result: 2
function result: 0
function result: 0
function result: 4
function result: 0
function result: 1
function result: 930
function result: 930
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(A) {
// write your code in JavaScript (Node.js 8.9.4)
let sum = [0];
for (let i = 1; i <= A.length; i++) {
sum[i] = A[i-1] + sum[i-1];
}
let minIdx = 0;
let minAvg = sum[2] / 2.0;
let idx = 0;
for (let i = 2; i < A.length; i++) {
let avg = (sum[i+1] - sum[idx]) / (i-idx+1);
let avg2 = (A[i-1] + A[i]) / 2.0;
if (avg2 < avg) {
avg = avg2;
idx = i - 1;
}
if (avg < minAvg) {
minAvg = avg;
minIdx = idx;
}
}
return minIdx;
}
[-3, -5, -8, -4, -10]
[10, 10, 2, 2]
[-3, 3, -3, 3, -3]
[3, -10, 3, 3, -10, 3, 3]
[3, -10, 3, 3, -10, 2, 3]
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function result: 2
function result: 2
function result: 0
function result: 0
function result: 4
function result: 0
function result: 1
function result: 930
function result: 930
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(A) {
// write your code in JavaScript (Node.js 8.9.4)
let sum = [0];
for (let i = 1; i <= A.length; i++) {
sum[i] = A[i-1] + sum[i-1];
}
let minIdx = 0;
let minAvg = sum[2] / 2.0;
let idx = 0;
for (let i = 2; i < A.length; i++) {
let avg = (sum[i+1] - sum[idx]) / (i-idx+1);
let avg2 = (A[i-1] + A[i]) / 2.0;
if (avg2 < avg) {
avg = avg2;
idx = i - 1;
}
if (avg < minAvg) {
minAvg = avg;
minIdx = idx;
}
}
return minIdx;
}
The solution obtained perfect score.