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29 changes: 29 additions & 0 deletions 02. Algorithms/09. Dynamic Programming/001. Target Sum/code.js
Original file line number Diff line number Diff line change
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/** Recursion, memoization
* https://leetcode.com/problems/target-sum/
*
* Time O(m*n) where n = nums.length and m = target;
* @param {number[]} nums
* @param {number} target
* @return {number}
*/
var findTargetSumWays = function(nums, target) {

const cache = new Map();

function dfs(i, total) {
const key = i + "-" + total;
if(cache.has(key)) return cache.get(key);

if(i === nums.length) {
if(total === target) return 1;
return 0;
}

const result = (dfs(i + 1, total + nums[i]) + dfs(i + 1, total - nums[i]));
cache.set(key, result);
return cache.get(key);
// return cache[i+"-"+total];
}

return dfs(0,0);
};