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/*
1. ๋ฌธ์ œ ์ดํ•ด
[-2,1,-3,4,-1,2,1,-5,4]
* ์ •๋‹ต๋ถ€๋ถ„ ์ฐธ๊ณ 
๊ฐ ์ธ๋ฑ์Šค๋ฅผ ์‹œ์ž‘์ ์œผ๋กœ ์žก๊ณ  ๋ชจ๋“  ๋ถ€๋ถ„์— ๋Œ€ํ•œ ๋ถ€๋ถ„ ๋ฐฐ์—ด์˜ ํ•ฉ์„ ๊ตฌํ•œ๋‹ค
์ด์ „์— ๊ณ„์‚ฐํ–ˆ๋˜ ๋‚ด์šฉ์„ ์ €์žฅํ•ด์„œ ์‚ฌ์šฉํ•œ๋‹ค
-> ์ด๋ ‡๊ฒŒ ๊ณ„์‚ฐํ•ด๋„ Time Limit Exceeded ๋ฐœ์ƒํ•˜๋„ค ..
๊ฒฐ๊ตญ์—” ์ด๋ ‡๊ฒŒ ํ•ด๋„ n^2 ์‹œ๊ฐ„์ด ๋ฐœ์ƒํ•˜๋ฏ€๋กœ ์‹œ๊ฐ„์ดˆ๊ณผ
ํฌ์ธํŠธ๋Š” n^2 ๊ฐ€ ๊ฑธ๋ฆฌ๋Š” ์‹œ๊ฐ„์„ ์–ด๋–ป๊ฒŒ nlogn์ด๋‚˜ n์œผ๋กœ ์ค„์ผ ์ˆ˜ ์žˆ๋Š”์ง€์ž„
* ์ •๋‹ต ๋ถ€๋ถ„ ์ฐธ๊ณ 
๋ˆ„์ ํ•ฉ์ด ์Œ์ˆ˜๋ผ๋ฉด ์‹œ์ž‘ ์ธ๋ฑ์Šค๋ฅผ ๋‹ค์Œ์œผ๋กœ ๊ณผ๊ฐํ•˜๊ฒŒ ์˜ฎ๊ธด๋‹ค
์ด ๋ฌธ์ œ๋Š” ์ง๊ด€์ ์œผ๋กœ ๋ฌธ์ œ๋ฅผ ๋ฐ”๋ผ๋ณด๋Š”๊ฒƒ์ด ์ค‘์š”ํ–ˆ๋‹ค.
์•„๋งˆ๋„ ์ด๋ ‡๊ฒŒ ์ ‘๊ทผํ•˜๋Š”๊ฑด ์–ด๋–จ๊นŒ ?
๋‚˜๋Š” ์ตœ๋Œ€ํ•ฉ์„ ๊ตฌํ•˜๊ณ ์‹ถ์—ˆ๋‹ค. ๋ถ€๋ถ„ ๋ฐฐ์—ด๋กœ!
๋ถ€๋ถ„๋ฐฐ์—ด์ด๋ผ๋Š” ๊ฒƒ์€ ์—ฐ์†๋œ๋‹ค๋Š” ๊ฒƒ์ด ํŠน์ง•์ด๋‹ค.
์ฆ‰, ์—ฐ์†๋˜์–ด์•ผ ํ•˜๋ฏ€๋กœ ์ด์ „์˜ ํ•ฉ๋“ค์ด ๋งŒ์•ฝ ์Œ์ˆ˜๋ผ๋ฉด ? ์ด ๋ถ€๋ถ„๋“ค์€ ํ•„์š”๊ฐ€ ์—†์–ด์ง€๋ฏ€๋กœ ๊ณผ๊ฐํžˆ ๋ฒ„๋ฆด ์ˆ˜ ์žˆ๋‹ค๋Š” ๊ฒƒ์„ ์•„๋Š” ๊ฒƒ์ด ํฌ์ธํŠธ์˜€๋‹ค.
๋ฒ„๋ฆฐ๋‹ค๋Š” ๊ฒƒ์˜ ์˜๋ฏธ๋Š” ? -> ํ˜„์žฌ ์ธ๋ฑ์Šค์˜ ๊ฐ’๊ณผ ์ด์ „ ์ „์ฒด์˜ ๊ฐ’๋“ค์˜ ํ•ฉ์„ ๋น„๊ตํ•ด์„œ ํ˜„์žฌ ์ธ๋ฑ์Šค๋ถ€ํ„ฐ ๋‹ค์‹œ ์ถœ๋ฐœํ•œ๋‹ค๋Š” ๊ฒƒ์ด๋‹ค. ๊ทธ๋Ÿฌ๋ฏ€๋กœ ๋น„๊ตํ•ด์„œ ๋” ํฐ๊ฐ’์„ total๋กœ ๊ฐ€์ ธ๊ฐ€๋Š” ๊ฒƒ์ด๋‹ค.
๋งŒ์•ฝ ์ด๊ฑธ ์ฒ˜์Œ๋ถ€ํ„ฐ ์•Œ์•˜๋‹ค๋ฉด ๊ทธ๋ฆฌ๊ณ  ๊ธฐ์กด์— ์ž‘์„ฑํ•œ n^2 ๋ฅผ ์†Œ์š”ํ•˜๋ฉด์„œ ๋ชจ๋“  ํ•ฉ์„ ๊ตฌํ•˜๋ ค ํ–ˆ์„๋•Œ ๋น„ํšจ์œจ์ ์ธ๊ฒƒ์„ ์ง๊ฐํ–ˆ๋‹ค๋ฉด ๋‹ค๋ฅธ ๋ฐฉ๋ฒ•์œผ๋กœ ์ ‘๊ทผํ•  ์ˆ˜ ์žˆ์—ˆ์–ด์•ผ ํ–ˆ๋‹ค.
๊ทธ๋ฆฌ๊ณ  ์ฒ˜์Œ total, maxTotal์„ ์ฒซ๋ฒˆ์งธ ์ธ๋ฑ์Šค๋กœ ์ง€์ •ํ•ด์คฌ๊ธฐ ๋•Œ๋ฌธ์— i ์ธ๋ฑ์Šค๋Š” 1๋ถ€ํ„ฐ ์‹œ์ž‘ํ•ด์•ผํ•œ๋‹ค
*/
import java.util.*;
class Solution {
public int maxSubArray(int[] nums) {
int total = nums[0];
int maxTotal = nums[0];
for (int i=1; i<nums.length; i++) {
total = Math.max(nums[i], total + nums[i]);
maxTotal = Math.max(total, maxTotal);
}
return maxTotal;
// for (int i=0; i<nums.length; i++) {
// int total = 0;
// for (int j=i; j<nums.length; j++) {
// total += nums[j];
// max = Math.max(total, max);
// if (total < 0) {
// break;
// }
// }
// }
// return max;
}
private int sum(int[] arr, int start, int end) {
int cnt = 0;
for (int i=start; i<end + 1; i++) {
cnt += arr[i];
}
return cnt;
}
}
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