3.2 KiB
3.2 KiB
title | id | challengeType |
---|---|---|
Equilibrium index | 5987fd532b954e0f21b5d3f6 | 5 |
Description
An equilibrium index of a sequence is an index into the sequence such that the sum of elements at lower indices is equal to the sum of elements at higher indices.
For example, in a sequence $A$:
:::: $A_0 = -7$
:::: $A_1 = 1$
:::: $A_2 = 5$
:::: $A_3 = 2$
:::: $A_4 = -4$
:::: $A_5 = 3$
:::: $A_6 = 0$
3 is an equilibrium index, because:
:::: $A_0 + A_1 + A_2 = A_4 + A_5 + A_6$
6 is also an equilibrium index, because:
:::: $A_0 + A_1 + A_2 + A_3 + A_4 + A_5 = 0$
(sum of zero elements is zero)
7 is not an equilibrium index, because it is not a valid index of sequence $A$.
Write a function that, given a sequence, returns its equilibrium indices (if any).
Assume that the sequence may be very long.
Instructions
Tests
tests:
- text: <code>equilibrium</code> is a function.
testString: 'assert(typeof equilibrium === "function", "<code>equilibrium</code> is a function.");'
- text: '<code>equilibrium([-7, 1, 5, 2, -4, 3, 0])</code> should return <code>[3,6]</code>.'
testString: 'assert.deepEqual(equilibrium(tests[0]), ans[0], "<code>equilibrium([-7, 1, 5, 2, -4, 3, 0])</code> should return <code>[3,6]</code>.");'
- text: '<code>equilibrium([2, 4, 6])</code> should return <code>[]</code>.'
testString: 'assert.deepEqual(equilibrium(tests[1]), ans[1], "<code>equilibrium([2, 4, 6])</code> should return <code>[]</code>.");'
- text: '<code>equilibrium([2, 9, 2])</code> should return <code>[1]</code>.'
testString: 'assert.deepEqual(equilibrium(tests[2]), ans[2], "<code>equilibrium([2, 9, 2])</code> should return <code>[1]</code>.");'
- text: '<code>equilibrium([1, -1, 1, -1, 1, -1, 1])</code> should return <code>[0,1,2,3,4,5,6]</code>.'
testString: 'assert.deepEqual(equilibrium(tests[3]), ans[3], "<code>equilibrium([1, -1, 1, -1, 1, -1, 1])</code> should return <code>[0,1,2,3,4,5,6]</code>.");'
- text: '<code>equilibrium([1])</code> should return <code>[0]</code>.'
testString: 'assert.deepEqual(equilibrium(tests[4]), ans[4], "<code>equilibrium([1])</code> should return <code>[0]</code>.");'
- text: '<code>equilibrium([])</code> should return <code>[]</code>.'
testString: 'assert.deepEqual(equilibrium(tests[5]), ans[5], "<code>equilibrium([])</code> should return <code>[]</code>.");'
Challenge Seed
function equilibrium (a) {
// Good luck!
}
After Test
console.info('after the test');
Solution
function equilibrium(a) {
let N = a.length,
i,
l = [],
r = [],
e = [];
for (l[0] = a[0], r[N - 1] = a[N - 1], i = 1; i < N; i++)
{ l[i] = l[i - 1] + a[i], r[N - i - 1] = r[N - i] + a[N - i - 1]; }
for (i = 0; i < N; i++)
{ if (l[i] === r[i]) e.push(i); }
return e;
}