From 45802ab5d0e191cab6e978d2e53df4c9c0abb050 Mon Sep 17 00:00:00 2001 From: ChenYue Date: Mon, 1 Jul 2019 13:10:01 +0800 Subject: [PATCH 1/3] =?UTF-8?q?=E6=96=B0=E5=A2=9E=E9=A2=9853=E6=9C=80?= =?UTF-8?q?=E5=A4=A7=E5=AD=90=E5=BA=8F=E5=92=8C1=E8=A7=A3=EF=BC=8C?= =?UTF-8?q?=E6=9B=B4=E6=96=B0NOTE=E5=86=85=E5=AE=B9?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- Week_04/id_18/LeetCode_53_18.java | 11 +++++++++++ Week_04/id_18/NOTE.md | 17 +++++++++++++++++ 2 files changed, 28 insertions(+) diff --git a/Week_04/id_18/LeetCode_53_18.java b/Week_04/id_18/LeetCode_53_18.java index 7791b992..7efb3a81 100644 --- a/Week_04/id_18/LeetCode_53_18.java +++ b/Week_04/id_18/LeetCode_53_18.java @@ -19,4 +19,15 @@ public int maxSubArray(int[] nums) { return result; } + + public int maxSubArray1(int[] nums) { + int result = nums[0]; + int sum = nums[0]; + for (int num: nums) { + sum = Math.max(num, sum + num); + result = Math.max(result, sum); + } + + return result; + } } diff --git a/Week_04/id_18/NOTE.md b/Week_04/id_18/NOTE.md index d169ee72..ccf81ea9 100644 --- a/Week_04/id_18/NOTE.md +++ b/Week_04/id_18/NOTE.md @@ -759,6 +759,23 @@ class Solution { } } ``` +#### 代码优化 +上述代码中,为了表示sum这个值是否对result有增益,所以做了条件判断。但是从另一个角度看,条件判断的过程就是判断当前元素加上sum值后是否有增益,如果没有,那么sum就需要重新初始化。所以只要比较当前元素和sum的大小,取大的就可以了。 +```java +class Solution { + public int maxSubArray(int[] nums) { + int result = nums[0]; + int sum = 0; + for (int num: nums) { + sum = Math.max(num, sum + num); + result = Math.max(result, sum); + } + + return result; + } +} +``` +时间和空间都没有明显优化,但是代码变的干净且更加易于理解了。 ### 解法二 #### 思路 From 6ac0afa2b6f0c9c1117537e6a9273fbe0778a368 Mon Sep 17 00:00:00 2001 From: ChenYue Date: Mon, 1 Jul 2019 13:32:34 +0800 Subject: [PATCH 2/3] =?UTF-8?q?=E6=96=B0=E5=A2=9E=E9=A2=9853=E6=9C=80?= =?UTF-8?q?=E5=A4=A7=E5=AD=90=E5=BA=8F=E5=92=8C1=E8=A7=A3=EF=BC=8C?= =?UTF-8?q?=E6=9B=B4=E6=96=B0NOTE=E5=86=85=E5=AE=B9?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- Week_04/id_18/LeetCode_53_18.java | 14 ++++++++++++++ Week_04/id_18/NOTE.md | 29 +++++++++++++++++++++++++++++ 2 files changed, 43 insertions(+) diff --git a/Week_04/id_18/LeetCode_53_18.java b/Week_04/id_18/LeetCode_53_18.java index 7efb3a81..0c6ffc04 100644 --- a/Week_04/id_18/LeetCode_53_18.java +++ b/Week_04/id_18/LeetCode_53_18.java @@ -30,4 +30,18 @@ public int maxSubArray1(int[] nums) { return result; } + + public int maxSubArray2(int[] nums) { + int n = nums.length; + int[] dp = new int[n]; + dp[0] = nums[0]; + int result = dp[0]; + + for (int i = 1; i < n; i++) { + dp[i] = nums[i] + (dp[i - 1] > 0 ? dp[i - 1] : 0); + result = Math.max(result, dp[i]); + } + + return result; + } } diff --git a/Week_04/id_18/NOTE.md b/Week_04/id_18/NOTE.md index ccf81ea9..636b428e 100644 --- a/Week_04/id_18/NOTE.md +++ b/Week_04/id_18/NOTE.md @@ -778,7 +778,36 @@ class Solution { 时间和空间都没有明显优化,但是代码变的干净且更加易于理解了。 ### 解法二 #### 思路 +从题目可知,这是一个典型的求最优解的问题,所以可以通过动态规划来解决。解决DP问题可以通过找到求解子问题的格式来攻克,题目要求找到最大子序列,那么子问题的函数就可以有如下三个参数: +- 数组 +- 子序列的起始下标 +- 子序列的终止下标 +但是如上3个参数对于确定原始问题和子问题之间的关系会变得比较麻烦。再通过解法一中的解题过程可以了解到,如上的三个参数其实也可以通过**当前最优解 sum 或 这里的dp[i - 1]** + **当前元素 num 或 这里的nums[i]**来定义。这样原始问题和子问题的关系就可以通过如下的公式确定了: +``` +dp[i] = nums[i] + dp[i - 1] > 0 ? dp[i - 1] : 0 +``` +如上代码参考的是解法一的思路,判断**前一个子问题的解法是否对当前元素有增益**。这样整个代码过程和解法一很相似。 #### 代码 +```java +class Solution { + public int maxSubArray(int[] nums) { + int n = nums.length; + int[] dp = new int[n]; + dp[0] = nums[0]; + int result = dp[0]; + + for (int i = 1; i < n; i++) { + dp[i] = nums[i] + (dp[i - 1] > 0 ? dp[i - 1] : 0); + result = Math.max(result, dp[i]); + } + + return result; + } +} +``` +### 解法三 +#### 思路 +#### 代码 ### 收获 \ No newline at end of file From 5804673430848121fa72c5e2b590fc647be5711c Mon Sep 17 00:00:00 2001 From: ChenYue Date: Sat, 6 Jul 2019 11:22:46 +0800 Subject: [PATCH 3/3] =?UTF-8?q?=E6=96=B0=E5=A2=9E=E6=AF=95=E4=B8=9A?= =?UTF-8?q?=E6=80=BB=E7=BB=93=E9=9C=80=E8=A6=81=E7=9A=84=E5=9B=BE=E7=89=87?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- ...h\347\256\227\346\263\225\345\233\276.JPG" | Bin 0 -> 34114 bytes Week_04/id_18/bfs.JPG | Bin 0 -> 47116 bytes Week_04/id_18/dfs.JPG | Bin 0 -> 49253 bytes ...b\350\247\243\346\263\225\345\233\276.JPG" | Bin 0 -> 26763 bytes ...1\347\232\204\345\256\232\344\271\211.jpg" | Bin 0 -> 17699 bytes ...5\347\244\272\346\204\217\345\233\276.jpg" | Bin 0 -> 41687 bytes ...6\344\271\240\350\204\221\345\233\276.png" | Bin 0 -> 3052114 bytes ...3\347\263\273\350\257\264\346\230\216.jpg" | Bin 0 -> 21448 bytes 8 files changed, 0 insertions(+), 0 deletions(-) create mode 100644 "Week_04/id_18/CountThePath\347\256\227\346\263\225\345\233\276.JPG" create mode 100644 Week_04/id_18/bfs.JPG create mode 100644 Week_04/id_18/dfs.JPG create mode 100644 "Week_04/id_18/fib\350\247\243\346\263\225\345\233\276.JPG" create mode 100644 "Week_04/id_18/\346\240\221\347\232\204\345\256\232\344\271\211.jpg" create mode 100644 "Week_04/id_18/\346\240\221\347\232\204\347\233\270\344\274\274\346\246\202\345\277\265\347\244\272\346\204\217\345\233\276.jpg" create mode 100644 "Week_04/id_18/\347\256\227\346\263\225\345\222\214\346\225\260\346\215\256\347\273\223\346\236\204\345\255\246\344\271\240\350\204\221\345\233\276.png" create mode 100644 "Week_04/id_18/\350\212\202\347\202\271\345\205\263\347\263\273\350\257\264\346\230\216.jpg" diff --git "a/Week_04/id_18/CountThePath\347\256\227\346\263\225\345\233\276.JPG" "b/Week_04/id_18/CountThePath\347\256\227\346\263\225\345\233\276.JPG" new file mode 100644 index 0000000000000000000000000000000000000000..903b39bd13fd06a5b04e9891656cfbcd40e44faf GIT binary patch literal 34114 zcmeFZ2UJwcwl>;GQWOy+NNfZYBxeMrTSf9FLz6+t&=Mr)RuNHx2#82*a*mR-ND|3e zvg90^9Gd2>2Ho3p&$;)VbKgJS7;n6dW627&s%n1q)vOt6aq|7-2k45Nl&lm82L}h_ z3j70|OkSCjbhR`CffN)#>>v>6JO~fx4(J?kb^*AM^Roou0p~ctxq3`2_BV(O1iI3; zLe`vg5zQ zJ+&ps0h=N59p0bkC7~gw=eT^lAW&%NU*~_>73V)-vHRPu`2Qn={+9V~1pY?gZv_5E z;BN%}LV%x_PgIOoM2uI6k@vQkkcb$+DCl3^1A){*79dNI4G0cW20aF04Uv<{i?kMw zj&@=^JT?y8k4vm4|Pfpu5G3GISVrp$_+x6p#zH8B=5#`fLT{;YX5)2IK>M*E2+;$M9;N67_7w+=> z-s(TYaC!%z9q`_tBn94N{D0x+??(P3kpG73Z@B&=1pcGKf3xdvxc(yq{-eTwv+Mt3 zaQ$WIn%V%?tqWkro{WGbK!o`C1o(J_1o#B!2?@^=kzNFB3?d4WE0;*GQP5Cdqqs&z z%fNb_mi`7k)iow=rWKZUjEo~iR6H_yD3ri~pM<-_&S2uT` zm%gw3Ucd1V4SOH{A>w0XRAN$cN@`kqM&_r&qT-U$vhs>A^$m?p&0kx-_4M}j4-9@E z8lIe*o|&DSUszm1ZEkJv?C$L!9Af3d0pXsB^`~V2MJ`f6u5);JxOjwExp2<800%B9 z9{zPc0bLP6aHW&za=3M2b&B1#s)$r~uFXs43>dxE|AUrF|- zV1LOq47!Ai0}LK6DF_NWDDh{DKleWzpi42Ai!0MynHvs^Ylj8L2ryIN_2f&E&NUZ% z9hC_8!I-PatHWLuQ*&lMGKH+O<|?5p;v8V@{pM+XqZK(PvqH(Ecf(9g{*aIHm!ZnN zwt`tn*6AbiaIwITa}TnixEgRx&4C?T$|aPZ)gX_D`_en+d{9UX+w`(Q1dngk#f^cE zYgHZ;136Q-jLBjlLnu17(cHP|7-hoXZiDJ6TatZ&hKY-;D9z{F2SrC?5GVN&&G+xp z5wFcfSM?B)v7d|4%wwpexNc(4-=5zBw=O+*v5Nk&NSzewg*?yhOLydu=>w@R$tG9Ct6uuy=|?lRoQQJP4*JwgVl+RcoLCBe>PBJb)+Zt#vBP~AFhHDKVFM)Nx!F6UFH4g z9V*m|BN#PUzq8RFn_7@Kk(!k-Vg9vJ;wv+lh@{qMOQ!VEuGuj zA1_K#VRRrDtrQPO@w*4{fgf*u!g=Otdryn1?%`n_ga{Sm}<(~F_v!=!0H#@tqJxHRKsfg77x>Zw0jKN(DCC598$c0}Lu zQucWAJ4UJ^y7nbaVC@y_DxSnnx=jURifMTc>+{+C2zJm`6vx2CXE1S5hEA&fsN`=6%Yzj{UjLlGdK zPC=hTsB60WIvE1D?t73qy$*ZV;11T=j9Tzyp0+lxbLo7Vq-QPrYG`$aHYw7JTEXSQ z)ViK_3}3|w*Oq}7%sN}P#|WPJ7u%ReTTZCL2PA8KBooFKI_pd6U& zchvR4?-Q*zX7uSJ9aYAc=eU(8#P%fdK~D?gz1Xd&ZQHklug5ui9Y2n^>?%f6WF7G? 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