An integer M and a non-empty array A consisting of N non-negative integers are given. All integers in array A are less than or equal to M.
A pair of integers (P, Q), such that 0 ≤ P ≤ Q < N, is called a slice of array A. The slice consists of the elements A[P], A[P + 1], ..., A[Q]. A distinct slice is a slice consisting of only unique numbers. That is, no individual number occurs more than once in the slice.
For example, consider integer M = 6 and array A such that:
A[0] = 3 A[1] = 4 A[2] = 5 A[3] = 5 A[4] = 2There are exactly nine distinct slices: (0, 0), (0, 1), (0, 2), (1, 1), (1, 2), (2, 2), (3, 3), (3, 4) and (4, 4).
The goal is to calculate the number of distinct slices.
Write a function:
function solution(M, A);
that, given an integer M and a non-empty array A consisting of N integers, returns the number of distinct slices.
If the number of distinct slices is greater than 1,000,000,000, the function should return 1,000,000,000.
For example, given integer M = 6 and array A such that:
A[0] = 3 A[1] = 4 A[2] = 5 A[3] = 5 A[4] = 2the function should return 9, as explained above.
Write an efficient algorithm for the following assumptions:
- N is an integer within the range [1..100,000];
- M is an integer within the range [0..100,000];
- 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(M, A) {
// write your code in JavaScript (Node.js 8.9.4)
let sum = 0;
let front = 0;
let back = 0;
const seen = new Array(M+1).fill(false);
while (front < M-1 && back < M-1){
while (front < M-1 && seen[A[front]] !== true){
sum += (front-back+1);
seen[A[front]] = true;
front += 1;
}
while (A[back] !== A[front]){
seen[A[back]] = false;
back += 1;
}
seen[A[back]] = false;
back += 1;
}
return Math.min(sum, 1000000000);
}
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(M, A) {
// write your code in JavaScript (Node.js 8.9.4)
let sum = 0;
let front = 0;
let back = 0;
const seen = new Array(M+1).fill(false);
while (front < M-1 && back < M-1){
while (front < M-1 && seen[A[front]] !== true){
sum += (front-back+1);
seen[A[front]] = true;
front += 1;
}
while (A[back] !== A[front]){
seen[A[back]] = false;
back += 1;
}
seen[A[back]] = false;
back += 1;
}
return Math.min(sum, 1000000000);
}
[0, []]
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(M, A) {
// write your code in JavaScript (Node.js 8.9.4)
let sum = 0;
let front = 0;
let back = 0;
const seen = new Array(M+1).fill(false);
while (front < M-1 && back < M-1){
while (front < M-1 && seen[A[front]] !== true){
sum += (front-back+1);
seen[A[front]] = true;
front += 1;
}
while (A[back] !== A[front]){
seen[A[back]] = false;
back += 1;
}
seen[A[back]] = false;
back += 1;
}
return Math.min(sum, 1000000000);
}
[0, [0]]
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(M, A) {
// write your code in JavaScript (Node.js 8.9.4)
let sum = 0;
let front = 0;
let back = 0;
const seen = new Array(M+1).fill(false);
while (front < && back < M-1){
while (front < M-1 && seen[A[front]] !== true){
sum += (front-back+1);
seen[A[front]] = true;
front += 1;
}
while (A[back] !== A[front]){
seen[A[back]] = false;
back += 1;
}
seen[A[back]] = false;
back += 1;
}
return Math.min(sum, 1000000000);
}
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(M, A) {
// write your code in JavaScript (Node.js 8.9.4)
let sum = 0;
let front = 0;
let back = 0;
const seen = new Array(M+1).fill(false);
while (front < A.length && back < A.length){
while (front < A.length && seen[A[front]] !== true){
sum += (front-back+1);
seen[A[front]] = true;
front += 1;
}
while (A[back] !== A[front]){
seen[A[back]] = false;
back += 1;
}
seen[A[back]] = false;
back += 1;
}
return Math.min(sum, 1000000000);
}
[0, [0]]
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(M, A) {
// write your code in JavaScript (Node.js 8.9.4)
let sum = 0;
let front = 0;
let back = 0;
const seen = new Array(M+1).fill(false);
while (front < A.length && back < A.length){
while (front < A.length && seen[A[front]] !== true){
sum += (front-back+1);
seen[A[front]] = true;
front += 1;
}
while (A[back] !== A[front]){
seen[A[back]] = false;
back += 1;
}
seen[A[back]] = false;
back += 1;
}
return Math.min(sum, 1000000000);
}
[0, [0]]
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(M, A) {
// write your code in JavaScript (Node.js 8.9.4)
let sum = 0;
let front = 0;
let back = 0;
const seen = new Array(M+1).fill(false);
while (front < A.length && back < A.length){
while (front < A.length && seen[A[front]] !== true){
sum += (front-back+1);
seen[A[front]] = true;
front += 1;
}
while (A[back] !== A[front]){
seen[A[back]] = false;
back += 1;
}
seen[A[back]] = false;
back += 1;
}
return Math.min(sum, 1000000000);
}
The solution obtained perfect score.