http://pat.zju.edu.cn/contests/pat-practise/1007

寻找最大连续子序列之和
 

 

1007. Maximum Subsequence Sum (25)

时间限制
400 ms
内存限制
32000 kB
代码长度限制
16000 B
判题程序
Standard
作者
CHEN, Yue

Given a sequence of K integers { N1, N2, ..., NK }. A continuous subsequence is defined to be { Ni, Ni+1, ..., Nj } where 1 <= i <= j <= K. The Maximum Subsequence is the continuous subsequence which has the largest sum of its elements. For example, given sequence { -2, 11, -4, 13, -5, -2 }, its maximum subsequence is { 11, -4, 13 } with the largest sum being 20.

Now you are supposed to find the largest sum, together with the first and the last numbers of the maximum subsequence.

Input Specification:

Each input file contains one test case. Each case occupies two lines. The first line contains a positive integer K (<= 10000). The second line contains K numbers, separated by a space.

Output Specification:

For each test case, output in one line the largest sum, together with the first and the last numbers of the maximum subsequence. The numbers must be separated by one space, but there must be no extra space at the end of a line. In case that the maximum subsequence is not unique, output the one with the smallest indices i and j (as shown by the sample case). If all the K numbers are negative, then its maximum sum is defined to be 0, and you are supposed to output the first and the last numbers of the whole sequence.

Sample Input:
10
-10 1 2 3 4 -5 -23 3 7 -21
Sample Output:
10 1 4

一开始s忘记初始化了。。尼玛坑爹啊

[cpp]  view plain copy
  1. #include<iostream>  
  2. #include<cstdio>  
  3. #include<memory.h>  
  4. #include<algorithm>  
  5. #include<cstring>  
  6. #include<queue>  
  7. #include<cmath>  
  8. #include<cstdlib>  
  9. #include<string>  
  10. using namespace std;  
  11. #define MAX 0x6FFFFFFF  
  12. int a[10001];  
  13. int main(){  
  14.   
  15.     //freopen("in.txt", "r", stdin);  
  16.     int k;  
  17.     while(cin>>k){  
  18.         bool flag = true;  
  19.         for(int i=0;i<k;++i){  
  20.             scanf("%d", a+i);  
  21.             if(a[i]>=0)  
  22.                 flag = false;  
  23.         }  
  24.         if(flag){  
  25.             printf("0 %d %d\n", a[0], a[k-1]);  
  26.             continue;  
  27.         }  
  28.           
  29.         int sum = 0;  
  30.         int max = -MAX;  
  31.         int start, end;  
  32.         int s = 0;  
  33.           
  34.         for(int i=0;i<k;++i){  
  35.             sum += a[i];  
  36.             if(sum>max){  
  37.                 max = sum;  
  38.                 start = s;  
  39.                 end = i;  
  40.             }  
  41.             if(sum<0){  
  42.                 sum = 0;  
  43.                 s = i+1;  
  44.             }  
  45.         }  
  46.   
  47.         printf("%d %d %d\n", max, a[start], a[end]);  
  48.     }  
  49.     //fclose(stdin);  
  50.     return 0;  
  51. }  
  52.       
──(root㉿xcs)-[/home/xcs/桌面] └─# gpg --show-keys /etc/apt/trusted.gpg.d/kali-archive-keyring.gpg gpg: 目录‘/root/.gnupg’已创建 gpg: 钥匙箱‘/root/.gnupg/pubring.kbx’已创建 pub rsa4096 2025-04-17 [SC] [有效至:2028-04-17] 827C8569F2518CC677FECA1AED65462EC8D5E4C5 uid Kali Linux Archive Automatic Signing Key (2025) <devel@kali.org> ┌──(root㉿xcs)-[/home/xcs/桌面] └─# apt update 错误:1 http://mirrors.aliyun.com/kali kali-rolling InRelease 403 Forbidden [IP: 124.225.96.42 80] 命中:2 http://http.kali.org/kali kali-rolling InRelease 获取:3 http://http.kali.org/kali kali-rolling/main i386 Packages [20.4 MB] 获取:4 http://http.kali.org/kali kali-rolling/main i386 Contents (deb) [47.7 MB] 获取:5 http://http.kali.org/kali kali-rolling/contrib i386 Packages [97.1 kB] 获取:6 http://http.kali.org/kali kali-rolling/contrib i386 Contents (deb) [183 kB] 获取:7 http://http.kali.org/kali kali-rolling/non-free i386 Packages [147 kB] 获取:8 http://mirrors.neusoft.edu.cn/kali kali-rolling/non-free i386 Contents (deb) [859 kB] 错误: 无法下载 http://mirrors.aliyun.com/kali/dists/kali-rolling/InRelease 403 Forbidden [IP: 124.225.96.42 80] 错误: 仓库 “http://mirrors.aliyun.com/kali kali-rolling InRelease” 没有数字签名。 注意: 无法安全地用该源进行更新,所以默认禁用该源。 注意: 参见 apt-secure(8) 手册以了解仓库创建和用户配置方面的细节。 ┌──(root㉿xcs)-[/home/xcs/桌面] └─#
07-28
~ $ pkg update && pkg upgrade -y No mirror or mirror group selected. You might want to select one by running 'termux-change-repo' Testing the available mirrors: [*] (10) https://packages-cf.termux.dev/apt/termux-main: ok [*] (1) https://mirror.meowsmp.net/termux/termux-main: ok [*] (1) https://mirror.nevacloud.com/applications/termux/termux-main: ok [*] (1) https://mirrors.saswata.cc/termux/termux-main: ok [*] (1) https://tmx.xvx.my.id/apt/termux-main: ok [*] (1) https://mirrors.krnk.org/apt/termux/termux-main: ok [*] (1) https://termux.niranjan.co/termux-main: ok [*] (1) https://mirror.textcord.xyz/termux/termux-main: bad [*] (1) https://mirror.bardia.tech/termux/termux-main: bad [*] (1) https://mirror.twds.com.tw/termux/termux-main: ok [*] (1) https://mirror.albony.in/termux/termux-main: ok [*] (1) https://mirrors.cbrx.io/apt/termux/termux-main: ok [*] (1) https://mirror.jeonnam.school/termux/termux-main: ok [*] (1) https://mirror.rinarin.dev/termux/termux-main: ok [*] (1) https://mirror.freedif.org/termux/termux-main: ok [*] (1) https://linux.domainesia.com/applications/termux/termux-main: ok [*] (1) https://mirrors.ravidwivedi.in/termux/termux-main: ok [*] (1) https://mirrors.nguyenhoang.cloud/termux/termux-main: ok [*] (1) https://mirrors.in.sahilister.net/termux/termux-main/: bad [*] (1) https://mirrors.sdu.edu.cn/termux/termux-main: ok [*] (1) https://mirrors.hust.edu.cn/termux/apt/termux-main: ok [*] (1) https://mirrors.nju.edu.cn/termux/apt/termux-main: ok [*] (1) https://mirrors.cernet.edu.cn/termux/apt/termux-main: ok [*] (1) https://mirror.nyist.edu.cn/termux/apt/termux-main: ok [*] (1) https://mirrors.cqupt.edu.cn/termux/termux-main: ok [*] (1) https://mirror.iscas.ac.cn/termux/apt/termux-main: ok [*] (1) https://mirrors.sau.edu.cn/termux/apt/termux-main: ok [*] (1) https://mirrors.pku.edu.cn/termux/termux-main/: ok [*] (1) https://mirrors.tuna.tsinghua.edu.cn/termux/apt/termux-main: ok [*] (1) https://mirrors.bfsu.edu.cn/termux/apt/termux-main: ok [*] (1) https://mirrors.zju.edu.cn/termux/apt/termux-main: ok [*] (1) https://mirrors.sustech.edu.cn/termux/apt/termux-main: bad [*] (1) https://mirror.sjtu.edu.cn/termux/termux-main/: bad [*] (1) https://mirrors.aliyun.com/termux/termux-main: ok [*] (1) https://mirrors.ustc.edu.cn/termux/termux-main: ok [*] (1) https://packages.termux.dev/apt/termux-main: ok [*] (1) https://ro.mirror.flokinet.net/termux/termux-main: ok [*] (1) https://termux.cdn.lumito.net/termux-main: ok [*] (1) https://nl.mirror.flokinet.net/termux/termux-main: ok [*] (1) https://mirror.sunred.org/termux/termux-main: ok [*] (1) https://mirror.mwt.me/termux/main: ok [*] (1) https://ftp.fau.de/termux/termux-main: ok [*] (1) https://ftp.agdsn.de/termux/termux-main: ok [*] (1) https://mirrors.de.sahilister.net/termux/termux-main: ok [*] (4) https://grimler.se/termux/termux-main: ok [*] (1) https://mirror.polido.pt/termux/termux-main: bad [*] (1) https://termux.3san.dev/termux/termux-main: ok [*] (1) https://mirrors.medzik.dev/termux/termux-main: ok [*] (1) https://termux.mentality.rip/termux-main: ok [*] (1) https://mirror.leitecastro.com/termux/termux-main: ok [*] (1) https://termux.librehat.com/apt/termux-main: ok [*] (1) https://md.mirrors.hacktegic.com/termux/termux-main: ok [*] (1) https://mirrors.cfe.re/termux/termux-main: bad [*] (1) https://mirror.accum.se/mirror/termux.dev/termux-main: ok [*] (1) https://mirror.autkin.net/termux/termux-main: ok [*] (1) https://mirror.bouwhuis.network/termux/termux-main: ok [*] (1) https://is.mirror.flokinet.net/termux/termux-main: ok [*] (1) https://mirror.termux.dev/termux-main: bad [*] (1) https://plug-mirror.rcac.purdue.edu/termux/termux-main: bad [*] (1) https://mirrors.utermux.dev/termux/termux-main: ok [*] (1) https://dl.kcubeterm.com/termux-main: bad [*] (1) https://termux.danyael.xyz/termux/termux-main: ok [*] (1) https://gnlug.org/pub/termux/termux-main: ok [*] (1) https://mirror.vern.cc/termux/termux-main: bad [*] (1) https://mirror.csclub.uwaterloo.ca/termux/termux-main: ok [*] (1) https://mirror.mwt.me/termux/main: ok [*] (1) https://mirror.quantum5.ca/termux/termux-main: ok [*] (1) https://mirror.fcix.net/termux/termux-main: ok [*] (1) https://mirrors.middlendian.com/termux/termux-main: ok [*] (1) http://mirror.mephi.ru/termux/termux-main: ok [*] (1) https://repository.su/termux/termux-main/: bad Picking mirror: (24) /data/data/com.termux/files/usr/etc/termux/mirrors/asia/mirrors.nguyenhoang.cloud Get:1 https://mirrors.nguyenhoang.cloud/termux/termux-main stable InRelease [14.0 kB] Get:3 https://mirrors.nguyenhoang.cloud/termux/termux-main stable/main aarch64 Packages [527 kB] Get:2 https://turdl.kcubeterm.com tur-packages InRelease [18.4 kB] Get:4 https://turdl.kcubeterm.com tur-packages/tur aarch64 Packages [72.4 kB] Ign:4 https://turdl.kcubeterm.com tur-packages/tur aarch64 Packages Get:4 https://turdl.kcubeterm.com tur-packages/tur aarch64 Packages [72.4 kB] Ign:4 https://turdl.kcubeterm.com tur-packages/tur aarch64 Packages Get:4 https://turdl.kcubeterm.com tur-packages/tur aarch64 Packages [72.4 kB] Ign:4 https://turdl.kcubeterm.com tur-packages/tur aarch64 Packages Ign:4 https://turdl.kcubeterm.com tur-packages/tur aarch64 Packages Err:4 https://turdl.kcubeterm.com tur-packages/tur aarch64 Packages Connection timed out [IP: 2606:50c0:8001::153 443] Get:4 https://turdl.kcubeterm.com tur-packages/tur aarch64 Packages [223 kB] Fetched 783 kB in 3min 18s (3950 B/s) Reading package lists... Done Building dependency tree... Done Reading state information... Done 5 packages can be upgraded. Run 'apt list --upgradable' to see them. No mirror or mirror group selected. You might want to select one by running 'termux-change-repo' Checking availability of current mirror: [*] https://mirrors.nguyenhoang.cloud/termux/termux-main: ok Hit:2 https://mirrors.nguyenhoang.cloud/termux/termux-main stable InRelease Hit:1 https://turdl.kcubeterm.com tur-packages InRelease Reading package lists... Done Building dependency tree... Done Reading state information... Done 5 packages can be upgraded. Run 'apt list --upgradable' to see them. Reading package lists... Done Building dependency tree... Done Reading state information... Done Calculating upgrade... Done The following packages will be upgraded: bash command-not-found libsqlite readline termux-keyring 5 upgraded, 0 newly installed, 0 to remove and 0 not upgraded. Need to get 2025 kB of archives. After this operation, 1323 kB of additional disk space will be used. Get:1 https://mirrors.nguyenhoang.cloud/termux/termux-main stable/main aarch64 readline aarch64 8.3 [294 kB] Get:2 https://mirrors.nguyenhoang.cloud/termux/termux-main stable/main aarch64 bash aarch64 5.3 [956 kB] Get:3 https://mirrors.nguyenhoang.cloud/termux/termux-main stable/main aarch64 termux-keyring all 3.13 [39.8 kB] Get:4 https://mirrors.nguyenhoang.cloud/termux/termux-main stable/main aarch64 command-not-found aarch64 3.1-2 [101 kB] Get:5 https://mirrors.nguyenhoang.cloud/termux/termux-main stable/main aarch64 libsqlite aarch64 3.50.2 [635 kB] Fetched 2025 kB in 1min 20s (25.5 kB/s) (Reading database ... 18441 files and directories currently installed.) Preparing to unpack .../readline_8.3_aarch64.deb ... Unpacking readline (8.3) over (8.2.13) ... Setting up readline (8.3) ... (Reading database ... 18446 files and directories currently installed.) Preparing to unpack .../archives/bash_5.3_aarch64.deb ... Unpacking bash (5.3) over (5.2.37-2) ... Setting up bash (5.3) ... Installing new version of config file /data/data/com.termux/files/usr/etc/bash.bashrc ... (Reading database ... 18453 files and directories currently installed.) Preparing to unpack .../termux-keyring_3.13_all.deb ... Unpacking termux-keyring (3.13) over (3.12-1) ... Setting up termux-keyring (3.13) ... (Reading database ... 18456 files and directories currently installed.) Preparing to unpack .../command-not-found_3.1-2_aarch64.deb ... Unpacking command-not-found (3.1-2) over (3.1-1) ... Preparing to unpack .../libsqlite_3.50.2_aarch64.deb ... Unpacking libsqlite (3.50.2) over (3.50.1-1) ... Setting up libsqlite (3.50.2) ... Setting up command-not-found (3.1-2) ... ~ $ pkg update && pkg upgrade -y No mirror or mirror group selected. You might want to select one by running 'termux-change-repo' Checking availability of current mirror: [*] https://mirrors.nguyenhoang.cloud/termux/termux-main: bad Testing the available mirrors: [*] (10) https://packages-cf.termux.dev/apt/termux-main: bad [*] (1) https://mirror.meowsmp.net/termux/termux-main: bad [*] (1) https://mirror.nevacloud.com/applications/termux/termux-main: bad [*] (1) https://mirrors.saswata.cc/termux/termux-main: bad [*] (1) https://tmx.xvx.my.id/apt/termux-main: bad [*] (1) https://mirrors.krnk.org/apt/termux/termux-main: bad [*] (1) https://termux.niranjan.co/termux-main: bad [*] (1) https://mirror.textcord.xyz/termux/termux-main: bad [*] (1) https://mirror.bardia.tech/termux/termux-main: bad [*] (1) https://mirror.twds.com.tw/termux/termux-main: bad [*] (1) https://mirror.albony.in/termux/termux-main: ok [*] (1) https://mirrors.cbrx.io/apt/termux/termux-main: ok [*] (1) https://mirror.jeonnam.school/termux/termux-main: ok [*] (1) https://mirror.rinarin.dev/termux/termux-main: ok [*] (1) https://mirror.freedif.org/termux/termux-main: ok [*] (1) https://linux.domainesia.com/applications/termux/termux-main: ok [*] (1) https://mirrors.ravidwivedi.in/termux/termux-main: ok [*] (1) https://mirrors.nguyenhoang.cloud/termux/termux-main: ok [*] (1) https://mirrors.in.sahilister.net/termux/termux-main/: ok [*] (1) https://mirrors.sdu.edu.cn/termux/termux-main: ok [*] (1) https://mirrors.hust.edu.cn/termux/apt/termux-main: ok [*] (1) https://mirrors.nju.edu.cn/termux/apt/termux-main: ok [*] (1) https://mirrors.cernet.edu.cn/termux/apt/termux-main: ok [*] (1) https://mirror.nyist.edu.cn/termux/apt/termux-main: ok [*] (1) https://mirrors.cqupt.edu.cn/termux/termux-main: ok [*] (1) https://mirror.iscas.ac.cn/termux/apt/termux-main: ok [*] (1) https://mirrors.sau.edu.cn/termux/apt/termux-main: ok [*] (1) https://mirrors.pku.edu.cn/termux/termux-main/: ok [*] (1) https://mirrors.tuna.tsinghua.edu.cn/termux/apt/termux-main: ok [*] (1) https://mirrors.bfsu.edu.cn/termux/apt/termux-main: ok [*] (1) https://mirrors.zju.edu.cn/termux/apt/termux-main: ok [*] (1) https://mirrors.sustech.edu.cn/termux/apt/termux-main: bad [*] (1) https://mirror.sjtu.edu.cn/termux/termux-main/: bad [*] (1) https://mirrors.aliyun.com/termux/termux-main: ok [*] (1) https://mirrors.ustc.edu.cn/termux/termux-main: ok [*] (1) https://packages.termux.dev/apt/termux-main: ok [*] (1) https://ro.mirror.flokinet.net/termux/termux-main: ok [*] (1) https://termux.cdn.lumito.net/termux-main: ok [*] (1) https://nl.mirror.flokinet.net/termux/termux-main: ok [*] (1) https://mirror.sunred.org/termux/termux-main: ok [*] (1) https://mirror.mwt.me/termux/main: ok [*] (1) https://ftp.fau.de/termux/termux-main: ok [*] (1) https://ftp.agdsn.de/termux/termux-main: ok [*] (1) https://mirrors.de.sahilister.net/termux/termux-main: ok [*] (4) https://grimler.se/termux/termux-main: ok [*] (1) https://mirror.polido.pt/termux/termux-main: bad [*] (1) https://termux.3san.dev/termux/termux-main: ok [*] (1) https://mirrors.medzik.dev/termux/termux-main: ok [*] (1) https://termux.mentality.rip/termux-main: ok [*] (1) https://mirror.leitecastro.com/termux/termux-main: ok [*] (1) https://termux.librehat.com/apt/termux-main: ok [*] (1) https://md.mirrors.hacktegic.com/termux/termux-main: ok [*] (1) https://mirrors.cfe.re/termux/termux-main: bad [*] (1) https://mirror.accum.se/mirror/termux.dev/termux-main: ok [*] (1) https://mirror.autkin.net/termux/termux-main: ok [*] (1) https://mirror.bouwhuis.network/termux/termux-main: ok [*] (1) https://is.mirror.flokinet.net/termux/termux-main: ok [*] (1) https://mirror.termux.dev/termux-main: bad [*] (1) https://plug-mirror.rcac.purdue.edu/termux/termux-main: bad [*] (1) https://mirrors.utermux.dev/termux/termux-main: ok [*] (1) https://dl.kcubeterm.com/termux-main: bad [*] (1) https://termux.danyael.xyz/termux/termux-main: ok [*] (1) https://gnlug.org/pub/termux/termux-main: ok [*] (1) https://mirror.vern.cc/termux/termux-main: bad [*] (1) https://mirror.csclub.uwaterloo.ca/termux/termux-main: ok [*] (1) https://mirror.mwt.me/termux/main: ok [*] (1) https://mirror.quantum5.ca/termux/termux-main: ok [*] (1) https://mirror.fcix.net/termux/termux-main: ok [*] (1) https://mirrors.middlendian.com/termux/termux-main: ok [*] (1) http://mirror.mephi.ru/termux/termux-main: ok [*] (1) https://repository.su/termux/termux-main/: ok Picking mirror: (40) /data/data/com.termux/files/usr/etc/termux/mirrors/europe/termux.librehat.com Get:2 https://termux.librehat.com/apt/termux-main stable InRelease [14.0 kB] Get:3 https://termux.librehat.com/apt/termux-main stable/main aarch64 Packages [527 kB] Get:1 https://turdl.kcubeterm.com tur-packages InRelease [18.4 kB] Ign:1 https://turdl.kcubeterm.com tur-packages InRelease Ign:1 https://turdl.kcubeterm.com tur-packages InRelease Get:1 https://turdl.kcubeterm.com tur-packages InRelease [18.4 kB] Get:4 https://turdl.kcubeterm.com tur-packages/tur aarch64 Packages [72.4 kB] Ign:4 https://turdl.kcubeterm.com tur-packages/tur aarch64 Packages Ign:4 https://turdl.kcubeterm.com tur-packages/tur aarch64 Packages Get:4 https://turdl.kcubeterm.com tur-packages/tur aarch64 Packages [72.4 kB] Fetched 582 kB in 4min 16s (2276 B/s) Reading package lists... Done Building dependency tree... Done Reading state information... Done All packages are up to date. No mirror or mirror group selected. You might want to select one by running 'termux-change-repo' Checking availability of current mirror: [*] https://termux.librehat.com/apt/termux-main: ok Hit:1 https://termux.librehat.com/apt/termux-main stable InRelease Hit:2 https://turdl.kcubeterm.com tur-packages InRelease Reading package lists... Done Building dependency tree... Done Reading state information... Done All packages are up to date. Reading package lists... Done Building dependency tree... Done Reading state information... Done Calculating upgrade... Done 0 upgraded, 0 newly installed, 0 to remove and 0 not upgraded. ~ $
07-10
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