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0567-permutation-in-string.js
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0567-permutation-in-string.js
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/**
* https://leetcode.com/problems/permutation-in-string/
* Time O(N + (M - N)) | Space O(1)
* @param {string} s1
* @param {string} s2
* @return {boolean}
*/
var checkInclusion = (s1, s2) => {
const isInvalid = s2.length < s1.length;
if (isInvalid) return false;
let [left, right] = [0, 0];
const [s1FrequencyMap, s2FrequencyMap] = getFrequencyMaps(s1);
while (right < s2.length) {
addRightFrequency(s2, right, s2FrequencyMap);
const window = right - left + 1;
const isPermutation =
window === s1.length && isSame(s1FrequencyMap, s2FrequencyMap);
if (isPermutation) return true;
const canSlide = s1.length <= window;
if (canSlide) {
subtractLeftFrequency(s2, left, s2FrequencyMap);
left++;
}
right++;
}
return false;
};
const getFrequencyMaps = (s1) => {
const [s1FrequencyMap, s2FrequencyMap] = new Array(2)
.fill()
.map(() => new Array(26).fill(0));
for (const char of s1) s1FrequencyMap[getCode(char)]++;
return [s1FrequencyMap, s2FrequencyMap];
};
const getCode = (char) => char.charCodeAt(0) - 'a'.charCodeAt(0);
const addRightFrequency = (s, right, frequencyMap) => {
const char = s[right];
const index = getCode(char);
frequencyMap[index]++;
return frequencyMap[index];
};
const subtractLeftFrequency = (s, left, frequencyMap) => {
const char = s[left];
const index = getCode(char);
frequencyMap[index]--;
return frequencyMap[index];
};
const isSame = (a, b) => {
for (let i = 0; i < 26; i++) {
const isMatch = a[i] === b[i];
if (!isMatch) return false;
}
return true;
};
//////////////////////////////////////////////////////////////////////////////
// Static Sliding Window
// Time: Theta(l1 + l2) O(l1 + l2) Space: Theta(1) O(1)
// Highest performing solution. Simply builds a map of the character counts
// for `s1` and `s1.length` of `s2` whose characters are within `s1`, updates
// the `s2` character map as it slides from the beginning of `s2` to the end
// of `s2`, and returns upon verifying a match between the `s1` and `s2`
// character maps.
//////////////////////////////////////////////////////////////////////////////
/**
* @param {string} s1
* @param {string} s2
* @return {boolean}
*/
function checkInclusion(s1, s2) {
if (s1.length > s2.length) {
return false;
}
const s1Chars = Object.create(null);
const s2Chars = Object.create(null);
for (const ch of s1) {
if (!(ch in s1Chars)) {
s1Chars[ch] = 0;
s2Chars[ch] = 0;
}
++s1Chars[ch];
}
for (let i = 0; i < s1.length; ++i) {
const ch = s2[i];
if (ch in s1Chars) {
++s2Chars[ch];
}
}
let matches = 0;
let matched = 0;
for (const ch in s1Chars) {
if (s1Chars[ch] === s2Chars[ch]) {
++matches;
}
++matched;
}
const last = s2.length - s1.length;
for (let i = 0; i < last; ++i) {
if (matches === matched) {
return true;
}
const ch1 = s2[i];
const ch2 = s2[i + s1.length];
if (ch1 in s1Chars) {
if (s1Chars[ch1] === s2Chars[ch1]--) {
--matches;
} else if (s1Chars[ch1] === s2Chars[ch1]) {
++matches;
}
}
if (ch2 in s1Chars) {
if (s1Chars[ch2] === s2Chars[ch2]++) {
--matches;
} else if (s1Chars[ch2] === s2Chars[ch2]) {
++matches;
}
}
}
return matches === matched;
}
//////////////////////////////////////////////////////////////////////////////
// Optimized Backtracking
// Time: Theta(l1 + l2) O(l1 + l2^2) Space: Theta(l1) O(l1)
// This solution passes the tests, but it is much slower than other passing
// solutions. At each possible beginning character of `s1` within `s2` a fresh
// map is created and a second pointer increments until it either matches `s1`
// or fails and moves the first and second pointer to the next available
// matching index.
//////////////////////////////////////////////////////////////////////////////
/**
* @param {string} s1
* @param {string} s2
* @return {boolean}
*/
function checkInclusion(s1, s2) {
if (s1.length > s2.length) {
return false;
}
const s1Chars = Object.create(null);
for (const ch of s1) {
if (!(ch in s1Chars)) {
s1Chars[ch] = 0;
}
++s1Chars[ch];
}
const last = s2.length - s1.length;
let i = 0;
while (i <= last) {
while (i <= last && !(s2[i] in s1Chars)) {
++i;
}
if (i > last) {
return false;
}
const subChars = Object.create(null);
let j = i;
while (j < s2.length && s2[j] in s1Chars) {
const ch = s2[j];
if (!(ch in subChars)) {
subChars[ch] = 0;
}
++subChars[ch];
if (subChars[ch] > s1Chars[ch]) {
break;
}
++j;
}
if (s1.length === j - i) {
return true;
}
if (j < s2.length && s2[j] in s1Chars) {
while (s2[i] !== s2[j]) {
++i;
}
++i;
} else {
i = j;
}
}
return false;
}