From 486530f7c7bc4ea87193eaa4908383a4b18f8563 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=E9=BB=84=E6=B5=B7?= <10402852@qq.com> Date: Sun, 10 Mar 2024 09:32:16 +0800 Subject: [PATCH 01/29] 'commit' --- .../LanQiao15STEMA202401/密码锁.cpp | 58 +++++++++++++++++++ 1 file changed, 58 insertions(+) create mode 100644 TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/密码锁.cpp diff --git a/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/密码锁.cpp b/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/密码锁.cpp new file mode 100644 index 0000000..dbaa17d --- /dev/null +++ b/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/密码锁.cpp @@ -0,0 +1,58 @@ +#include +using namespace std; + +bool isAllZero(string s) { + for (int i = 0; i < s.size(); i++) + if (s[i] != '0') + return false; + return true; +} + +struct Node { + char c; //ַ + int count;// + int st, ed;//ʼλãֹͣλ + bool const operator<(const &Node t) { + // ȣôǰ + if (count != t.count) + return count > t.count; + // ȣDzǴ + if (st < t.st && ed > t.ed)//ṹԱȣһڶôһǰڶǰ + return false; + //Ĭֵǵڶǰ + return true; + } +}; + +int b[10]; + +void tj() { + memset(b, 0, sizeof b); + vector> q; + for (int i = 0; i < s.size(); i++) { + if (s[i] != '0') + b[s[i] - '0']++; + } + for (int i = 1; i <= 9; i++) + if (b[i]) + q.push_back({ b[i], i}); + sort(q.begin(), q.end()); + + for (int i = 0; i < q.size(); i++) + //TODOûм¼ֹλãҪʵ + } + + +vector a; + + +int main() { + int n; + string s; + cin >> n >> s; + + while (!isAllZero(s)) { + + } + return 0; +} From 9b18e1c531c41a5467711fb0a78cb4d1090fcefd Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=E9=BB=84=E6=B5=B7?= <10402852@qq.com> Date: Mon, 11 Mar 2024 10:51:12 +0800 Subject: [PATCH 02/29] 'commit' --- .../ZhongGaoJi/LanQiao15STEMA202401/6.cpp | 77 +++++++++++++----- .../ZhongGaoJi/LanQiao15STEMA202401/6.jpg | Bin 0 -> 113629 bytes .../LanQiao15STEMA202401/密码锁.cpp | 58 ------------- 3 files changed, 56 insertions(+), 79 deletions(-) create mode 100644 TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6.jpg delete mode 100644 TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/密码锁.cpp diff --git a/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6.cpp b/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6.cpp index f4d46c6..a994628 100644 --- a/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6.cpp +++ b/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6.cpp @@ -1,30 +1,65 @@ #include using namespace std; +int res; // 一共处理几次 +// 是不是全是字符零 +bool isAllZero(string s) { + for (int i = 0; i < s.size(); i++) + if (s[i] != '0') return false; + return true; +} -/* -测试用例: -5 -12321 - -*/ -int cnt = 1; +// 结构体 +struct Node { + int c; + int count; + int st, ed; + bool const operator<(const &Node t) { + if (count != t.count) return count > t.count; + if (st < t.st && ed > t.ed) return false; + return true; + } +}; -// 递归写法 -void dfs(string s) { - int p; - for (p = s.size() - 1; p >= 1; p--) - if (s[0] != s[p]) break; +int p1[10], p2[10]; - string t; - for (int i = 1; i <= p; i++) t += s[i]; - if (t.size()) cnt++, dfs(t); -} +vector a; int main() { - int n; - string s; + int n; // n个长度的字符串 + string s; // 字符串 cin >> n >> s; - dfs(s); - cout << cnt << endl; + + // 多次循环,判断是不是已经全是'0'的字符串,如果不是,则继续处理 + while (!isAllZero(s)) { + // 记录有多少个非0数字,都是多少个 + memset(b, 0, sizeof b); + memset(p1, -1, sizeof p1); + memset(p2, -1, sizeof p2); + + for (int i = 0; i < s.size(); i++) { + if (s[i] != '0') { + b[s[i] - '0']++; + if (p1[s[i] - '0'] == -1) + p1[s[i] - '0'] = i; // 记录起点 + else + p2[s[i] - '0'] = i; // 记录终点 + } + } + + // 整理一下 + vector q; + for (int i = 1; i <= 9; i++) + if (b[i]) q.push_back({i, b[i], p1[i], p2[i] == -1 ? p1[i] : p2[i]}); // 几个在前,是啥数字在后 + sort(q.begin(), q.end()); + + // 最多的数字是num,个数=count,这个是最牛X的 + int num = q[0].second; + // 找出这个数字的起止位置 + + for (int i = 0; i < q.size(); i++) + if ((int)s[i] == num) s[i] = '0'; + } + // 输出一共处理了几次 + cout << res << endl; return 0; -} \ No newline at end of file +} diff --git a/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6.jpg b/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6.jpg new file mode 100644 index 0000000000000000000000000000000000000000..00f994df851906dd14e31bef067c6093550332db GIT binary patch literal 113629 zcmbTedmz(){6G5M=9XN#Od)s0Mk-mkGko0UwoOz^5z@9wxujCs&~?dOw8Yrv7L`m$ zqKjK4j8qh*+*8T@Hs>|<`Fy{>bN)H!RPVj_e!X7r*Y$aMJTGhM{nBS>70%Al4uZiT z2nPN_OI?r+Bq=T~Auc8Wg z2$%*0UkyX7hAq8-RKYw&VatD@zkgtGgovn^xWo#{m7qcCDhLikAmAbhQBe^Q&^iLt zLn5n1*Qo1TiLE6Z6xRqsZjVgJlF+m+ekw<7{k74+H#lmALpcX@d3-m{nF=YJ^RFquLP2|XEh>hziL=nEGwUA}Uak(iX6aw9eE zCNrDO;pXJ#n@y84F3m;AQ&w;k`^f9U+u`}JF2|G?nT@YwJ1 ziOH$ynb|qvx?m9E&$7VhpN0M3*0ma}3oasp5D^!y3kE+0F2rgPQFVQ>HC6=igF$OG zwns`JtrN0}pRUj}ApVl`4Q`cOw-NJY)0l8+%PaeTx3H-HUn~1>VgIwPPDly?1BZuL z4Ov3HXf#E4&4p|R3MMKRX_cd&Ot2MQVT;5glJfG7i+L#~t5C{p^!w>(*X;#VefI{~ z1;x82%wky%COf`G9hJ?nmLzl}-iW+K4w1)v?aY2?TxLULCgHgpE@xXd11$lXKqrv| zY;ATT10tca>5{^WghRo|paxAru|&b>khX3#F0I>eBIjF%=+?mS7O{3}L7HpwmtA^W zw(T_jT6$oFA!3^Dd)XslXO%*IM|@Iuq(bT{`Mq(!rgBIR8>3Znc;8~26s!%HFHh>@ zc1^MT?(Tk7u4#61VW^{U&7qBBx2tcP1aFGmR9`%m^DN8#^}+h%;m}*omi$*rp6*^R zdtOj3etI&_gsRMc%@@bj$mydJ8wVX%;bW) z^YDl~PIlxq+f7L5M|DczzA?DpeCdTV3wOeLuB^5E#FDrNUT9r{n#1dht}Q_`KIjWYv&PUrJe8SJ#gv$OK~6 zHE(oMo0DweD9M<5n08g`oh$Deu;fD91>=?#F$0#T=jJ_6D*p~|AtM4`3C!Jx7OCM; z&B8D4En<4#4|t6Z4xGq461K^D@QGjWPJ{;o5r=$1nyV)cEwW8>Bw!_YQ}m`oH|xxY-pM(Mq7r4RToGV!iQ(m}sur z2)3SJi-d&NDL|7_(#m<+bfgk7(M5|=(@)=Ey9HGXL6Qg1VTRl-&xf#={Fo=zM_gIH zCl}B|>UJMZcb&$3KX`%?Swaae(K0;umRd2mN#8-D=-SzaK7_V7KgtP1c*m7zS=p-l zR8cu|F_dXz4D8sqJ*goNMGwE3NE2%vAF!pJc6GhvH^OUS+H|&br0)Fl*7TB4yYk{j?c) z?B^DQI8ugEk8BCTNmBJP?y_3x;dtmHzo7Rf^ZXAK%ps@udV2ufm}KMRK#dI&$^mqd zYfh>Dbs(=$IKZ;7j@#Qlt>7TPj@#KngpswfxO?4&_j(Q$j6P5BR3G6d;Pw=(GZVd3+VyAe#ZDK55Wunr-0;gfQ$gO z@VooEkg?iVGj$H{FV3}+i_#*cUHUWEwJxO!;5o0wtSZ9_D!hF61%fwA~&lR z%Qsaj)}n9edUj%P7*}c)q}Bhv`eeAIdU>Sl6QLN>jjrt~19f>|fGwV!HtE#QBTnBae~*DL9erTv7KbL{2yhp?zS_RC0(xi`r?L8uDK33I-qCJW#0&v!HnwvsA{v< z?%~~cCrjdRwSnyrkxy*dCe$=1iW+F`+ViECyMF!omQ7c0xBS{#E!kLf%wAx=?^huc zI;T3acG&WEU$8Be6hZzW5(nYIz+6dtvMHI=*dxTwry9>KU$?_NyBqsWZ}oW(>`r_pH_9w# zoD_Mu%~oCjbLz8SY;|R8M9Sq9Upf#JJ-WB;LnCacBH{=&D(jNGe>mPWebPv!uBdx& zT4Sh!dlx^y1%HaYQ3dtWKHOK!sWFwU7*t&@Slr#DMTWbZ#Z7;@ZWq)U!*s2(g^;{H zmp27$<2$W;?PWIId|-}(Z5|af8!ET5eLH5kQJlK#RBFcYA78(S?qW%s?rbW2{H?bH zYNG71?m3*i1f34r+l5npa+?f8aXBo62s5k`R=eQ=8K&=GgsJFHRbYvVW8A|PPf^8? 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a/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/密码锁.cpp b/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/密码锁.cpp deleted file mode 100644 index dbaa17d..0000000 --- a/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/密码锁.cpp +++ /dev/null @@ -1,58 +0,0 @@ -#include -using namespace std; - -bool isAllZero(string s) { - for (int i = 0; i < s.size(); i++) - if (s[i] != '0') - return false; - return true; -} - -struct Node { - char c; //ַ - int count;// - int st, ed;//ʼλãֹͣλ - bool const operator<(const &Node t) { - // ȣôǰ - if (count != t.count) - return count > t.count; - // ȣDzǴ - if (st < t.st && ed > t.ed)//ṹԱȣһڶôһǰڶǰ - return false; - //Ĭֵǵڶǰ - return true; - } -}; - -int b[10]; - -void tj() { - memset(b, 0, sizeof b); - vector> q; - for (int i = 0; i < s.size(); i++) { - if (s[i] != '0') - b[s[i] - '0']++; - } - for (int i = 1; i <= 9; i++) - if (b[i]) - q.push_back({ b[i], i}); - sort(q.begin(), q.end()); - - for (int i = 0; i < q.size(); i++) - //TODOûм¼ֹλãҪʵ - } - - -vector a; - - -int main() { - int n; - string s; - cin >> n >> s; - - while (!isAllZero(s)) { - - } - return 0; -} From ddebe05d78354f838cd1631b35a2bc4fbe4ed3eb Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=E9=BB=84=E6=B5=B7?= <10402852@qq.com> Date: Mon, 11 Mar 2024 10:53:27 +0800 Subject: [PATCH 03/29] 'commit' --- .../ZhongGaoJi/LanQiao15STEMA202401/6.cpp | 27 +++++++++++++++++-- 1 file changed, 25 insertions(+), 2 deletions(-) diff --git a/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6.cpp b/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6.cpp index a994628..7bd4e0b 100644 --- a/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6.cpp +++ b/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6.cpp @@ -1,8 +1,31 @@ #include using namespace std; +/* +5 +2 3 4 5 2 +答案:4 + +5 +3 2 4 2 5 +答案:4 + +5 +3 2 4 2 3 +答案:3 + +7 +3 2 4 2 5 3 1 +答案:5 + +5 +3 2 3 2 5 +答案:4 + +*/ + int res; // 一共处理几次 // 是不是全是字符零 -bool isAllZero(string s) { +bool check(string s) { for (int i = 0; i < s.size(); i++) if (s[i] != '0') return false; return true; @@ -30,7 +53,7 @@ int main() { cin >> n >> s; // 多次循环,判断是不是已经全是'0'的字符串,如果不是,则继续处理 - while (!isAllZero(s)) { + while (!check(s)) { // 记录有多少个非0数字,都是多少个 memset(b, 0, sizeof b); memset(p1, -1, sizeof p1); From f5c4e22affd483afddf8825b22f20f2336bf49d3 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=E9=BB=84=E6=B5=B7?= <10402852@qq.com> Date: Mon, 11 Mar 2024 11:29:05 +0800 Subject: [PATCH 04/29] 'commit' --- .../ZhongGaoJi/LanQiao15STEMA202401/6.cpp | 20 ++++++++++++++----- 1 file changed, 15 insertions(+), 5 deletions(-) diff --git a/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6.cpp b/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6.cpp index 7bd4e0b..a3608f2 100644 --- a/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6.cpp +++ b/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6.cpp @@ -5,6 +5,20 @@ using namespace std; 2 3 4 5 2 答案:4 +算法: +1、开a[N]数组,记录目标密码锁的密码,本例就是 a[]={ 2 , 3 , 4 , 5 , 2} + +2、模拟我们从{0,0,0,0,0}出发,看看是不是到达了目标状态 + +3、如果还没有到达目标状态,我们来研究一下,怎么能尽快的向目标逼近 + +(1)出现次数最多的数字,起始,终止 +(2)如果有个次数一样多的数字,那么起始终止范围大的在前 +(3)如果不存在范围包含关系,那么号小的在前(其实是随意的) +本例 就是找到了2。标记 use[2]=1,表示2已处理 res++。 + + + 5 3 2 4 2 5 答案:4 @@ -76,11 +90,7 @@ int main() { sort(q.begin(), q.end()); // 最多的数字是num,个数=count,这个是最牛X的 - int num = q[0].second; - // 找出这个数字的起止位置 - - for (int i = 0; i < q.size(); i++) - if ((int)s[i] == num) s[i] = '0'; + for (int i = q[0].st; i <= q[0].ed; i++) s[i] = q[0].c; } // 输出一共处理了几次 cout << res << endl; From 2434c2742d9b1304c8cd2e7c37d07ce9afcff956 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=E9=BB=84=E6=B5=B7?= <10402852@qq.com> Date: Mon, 11 Mar 2024 11:35:11 +0800 Subject: [PATCH 05/29] 'commit' --- TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6.cpp | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6.cpp b/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6.cpp index a3608f2..b08338e 100644 --- a/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6.cpp +++ b/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6.cpp @@ -15,9 +15,10 @@ using namespace std; (1)出现次数最多的数字,起始,终止 (2)如果有个次数一样多的数字,那么起始终止范围大的在前 (3)如果不存在范围包含关系,那么号小的在前(其实是随意的) -本例 就是找到了2。标记 use[2]=1,表示2已处理 res++。 +{2,2,2,2,2} res=1 +3 2 2 3 2 2 3 2 2 2 3 3 3 3 5 3 2 4 2 5 From 79420e8e0f73b593cfe0a85c50444e088c701e11 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=E9=BB=84=E6=B5=B7?= <10402852@qq.com> Date: Mon, 11 Mar 2024 13:25:34 +0800 Subject: [PATCH 06/29] 'commit' --- .../ZhongGaoJi/LanQiao15STEMA202401/6.cpp | 105 +++--------------- .../LanQiao15STEMA202401/6_Test.cpp | 63 +++++++++++ 2 files changed, 81 insertions(+), 87 deletions(-) create mode 100644 TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6_Test.cpp diff --git a/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6.cpp b/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6.cpp index b08338e..f4d46c6 100644 --- a/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6.cpp +++ b/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6.cpp @@ -1,99 +1,30 @@ #include using namespace std; -/* -5 -2 3 4 5 2 -答案:4 - -算法: -1、开a[N]数组,记录目标密码锁的密码,本例就是 a[]={ 2 , 3 , 4 , 5 , 2} - -2、模拟我们从{0,0,0,0,0}出发,看看是不是到达了目标状态 - -3、如果还没有到达目标状态,我们来研究一下,怎么能尽快的向目标逼近 - -(1)出现次数最多的数字,起始,终止 -(2)如果有个次数一样多的数字,那么起始终止范围大的在前 -(3)如果不存在范围包含关系,那么号小的在前(其实是随意的) -{2,2,2,2,2} res=1 - - -3 2 2 3 2 2 3 2 2 2 3 3 3 3 - -5 -3 2 4 2 5 -答案:4 - -5 -3 2 4 2 3 -答案:3 - -7 -3 2 4 2 5 3 1 -答案:5 +/* +测试用例: 5 -3 2 3 2 5 -答案:4 +12321 */ +int cnt = 1; -int res; // 一共处理几次 -// 是不是全是字符零 -bool check(string s) { - for (int i = 0; i < s.size(); i++) - if (s[i] != '0') return false; - return true; -} - -// 结构体 -struct Node { - int c; - int count; - int st, ed; - bool const operator<(const &Node t) { - if (count != t.count) return count > t.count; - if (st < t.st && ed > t.ed) return false; - return true; - } -}; - -int p1[10], p2[10]; +// 递归写法 +void dfs(string s) { + int p; + for (p = s.size() - 1; p >= 1; p--) + if (s[0] != s[p]) break; -vector a; + string t; + for (int i = 1; i <= p; i++) t += s[i]; + if (t.size()) cnt++, dfs(t); +} int main() { - int n; // n个长度的字符串 - string s; // 字符串 + int n; + string s; cin >> n >> s; - - // 多次循环,判断是不是已经全是'0'的字符串,如果不是,则继续处理 - while (!check(s)) { - // 记录有多少个非0数字,都是多少个 - memset(b, 0, sizeof b); - memset(p1, -1, sizeof p1); - memset(p2, -1, sizeof p2); - - for (int i = 0; i < s.size(); i++) { - if (s[i] != '0') { - b[s[i] - '0']++; - if (p1[s[i] - '0'] == -1) - p1[s[i] - '0'] = i; // 记录起点 - else - p2[s[i] - '0'] = i; // 记录终点 - } - } - - // 整理一下 - vector q; - for (int i = 1; i <= 9; i++) - if (b[i]) q.push_back({i, b[i], p1[i], p2[i] == -1 ? p1[i] : p2[i]}); // 几个在前,是啥数字在后 - sort(q.begin(), q.end()); - - // 最多的数字是num,个数=count,这个是最牛X的 - for (int i = q[0].st; i <= q[0].ed; i++) s[i] = q[0].c; - } - // 输出一共处理了几次 - cout << res << endl; + dfs(s); + cout << cnt << endl; return 0; -} +} \ No newline at end of file diff --git a/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6_Test.cpp b/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6_Test.cpp new file mode 100644 index 0000000..4eb2742 --- /dev/null +++ b/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6_Test.cpp @@ -0,0 +1,63 @@ +#include +using namespace std; +/* +14 +3 2 2 3 2 2 3 2 2 2 3 3 3 3 + +*/ +const int N = 110; +int n; +int a[N]; +int res; // 执行次数 +int st[10]; // 哪些数字使用过了 +int b[10]; +// 结构体 +struct Node { + int c; + int count; + int st, ed; + bool const operator<(const &Node t) { + if (count != t.count) return count > t.count; + if (st < t.st && ed > t.ed) return false; + return true; + } +}; + +// 找出未处理的数字中符合条件的那个 +Node find() { + memset(b, 0, sizeof b); + vector q; + for (int i = 1; i <= n; i++) + if (!st[a[i]]) b[a[i]]++; // 个数 + + for (int i = 1; i <= 9; i++) { + int start, end; + for (int j = 1; j <= n; j++) + if (a[j] == i) { + start = j; + break; + } + for (int j = n; j >= 1; j--) + if (a[j] == i) { + end = j; + break; + } + q.push_back({i, b[i], start, end}); + } + sort(q.begin(), q.end()); + + + return q[0]; +} + +int main() { + cin >> n; + for (int i = 1; i <= n; i++) cin >> a[i]; // 密码数组 + for (res = 0;; res++) { + // 找出没有记录过的数字,并且,它的数量最多,如果存在数量一样多的多个数字,就比较谁的区间大,大的优先,如果无法比较谁的区间大,就数小的优先 + Node x = find(); + if (x.count == 0) break; + } + cout << res << endl; + return 0; +} \ No newline at end of file From 334b5fd56fc88853db890b128e479632c95ec524 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=E9=BB=84=E6=B5=B7?= <10402852@qq.com> Date: Mon, 11 Mar 2024 13:35:29 +0800 Subject: [PATCH 07/29] 'commit' --- .../LanQiao15STEMA202401/6_Test.cpp | 41 +++++++++++-------- 1 file changed, 23 insertions(+), 18 deletions(-) diff --git a/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6_Test.cpp b/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6_Test.cpp index 4eb2742..b5d90d3 100644 --- a/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6_Test.cpp +++ b/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6_Test.cpp @@ -3,7 +3,6 @@ using namespace std; /* 14 3 2 2 3 2 2 3 2 2 2 3 3 3 3 - */ const int N = 110; int n; @@ -16,7 +15,7 @@ struct Node { int c; int count; int st, ed; - bool const operator<(const &Node t) { + const bool operator<(const Node &t) const { if (count != t.count) return count > t.count; if (st < t.st && ed > t.ed) return false; return true; @@ -30,24 +29,28 @@ Node find() { for (int i = 1; i <= n; i++) if (!st[a[i]]) b[a[i]]++; // 个数 - for (int i = 1; i <= 9; i++) { - int start, end; - for (int j = 1; j <= n; j++) - if (a[j] == i) { - start = j; - break; - } - for (int j = n; j >= 1; j--) - if (a[j] == i) { - end = j; - break; - } - q.push_back({i, b[i], start, end}); + for (int i = 1; i <= 9; i++) { // 遍历所有数字1~9 + if (b[i] > 0) { // 如果是真实存在的,有效的数字i + int start, end; // 找出这个数字的起始位置与结束位置 + for (int j = 1; j <= n; j++) // 找开头 + if (a[j] == i) { + start = j; + break; + } + for (int j = n; j >= 1; j--) // 找结尾 + if (a[j] == i) { + end = j; + break; + } + // 记录数字,个数,开始,结束 + q.push_back({i, b[i], start, end}); + } } + // 按结构体自定义的顺序进行排序 sort(q.begin(), q.end()); - - - return q[0]; + // 我们只关心第一个,也就是数量最多的那个 + if (q.size()) return q[0]; + return {0, 0, 0, 0}; } int main() { @@ -56,6 +59,8 @@ int main() { for (res = 0;; res++) { // 找出没有记录过的数字,并且,它的数量最多,如果存在数量一样多的多个数字,就比较谁的区间大,大的优先,如果无法比较谁的区间大,就数小的优先 Node x = find(); + // 将x这个数字标识为已处理 + st[x.c] = 1; if (x.count == 0) break; } cout << res << endl; From ba3dfe77f66ddf215b8b76b5d7db8dbc9eeb22ca Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=E9=BB=84=E6=B5=B7?= <10402852@qq.com> Date: Mon, 11 Mar 2024 15:06:38 +0800 Subject: [PATCH 08/29] 'commit' --- .../LanQiao15STEMA202401/6_Test.cpp | 73 +++++------------- 小乔证件/GESP2024-03准考证.pdf | Bin 0 -> 157786 bytes 小乔证件/GESP报名.txt | 6 ++ ...生须知.md => 关于GESP考生须知.md} | 0 4 files changed, 26 insertions(+), 53 deletions(-) create mode 100644 小乔证件/GESP2024-03准考证.pdf create mode 100644 小乔证件/GESP报名.txt rename 小乔证件/{关于GESPGESP考生须知.md => 关于GESP考生须知.md} (100%) diff --git a/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6_Test.cpp b/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6_Test.cpp index b5d90d3..5a9e3c5 100644 --- a/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6_Test.cpp +++ b/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6_Test.cpp @@ -1,68 +1,35 @@ #include using namespace std; -/* -14 -3 2 2 3 2 2 3 2 2 2 3 3 3 3 -*/ + const int N = 110; -int n; int a[N]; -int res; // 执行次数 -int st[10]; // 哪些数字使用过了 -int b[10]; -// 结构体 +int st[10]; struct Node { - int c; - int count; int st, ed; - const bool operator<(const Node &t) const { - if (count != t.count) return count > t.count; - if (st < t.st && ed > t.ed) return false; - return true; - } }; +vector q; +/* +5 +1 2 3 3 2 +*/ +int main() { + int n; + cin >> n; + for (int i = 1; i <= n; i++) cin >> a[i]; // 密码数组 -// 找出未处理的数字中符合条件的那个 -Node find() { - memset(b, 0, sizeof b); - vector q; - for (int i = 1; i <= n; i++) - if (!st[a[i]]) b[a[i]]++; // 个数 - - for (int i = 1; i <= 9; i++) { // 遍历所有数字1~9 - if (b[i] > 0) { // 如果是真实存在的,有效的数字i - int start, end; // 找出这个数字的起始位置与结束位置 - for (int j = 1; j <= n; j++) // 找开头 - if (a[j] == i) { - start = j; - break; - } - for (int j = n; j >= 1; j--) // 找结尾 - if (a[j] == i) { - end = j; + for (int i = 1; i <= n; i++) { + if (!st[a[i]]) { + st[a[i]] = 1; + for (int j = n; j; j--) + if (a[i] == a[j]) { + q.push_back({i, j}); break; } - // 记录数字,个数,开始,结束 - q.push_back({i, b[i], start, end}); } } - // 按结构体自定义的顺序进行排序 - sort(q.begin(), q.end()); - // 我们只关心第一个,也就是数量最多的那个 - if (q.size()) return q[0]; - return {0, 0, 0, 0}; -} + // 从左到右枚举,所以,不再需再进行按左端点排序,现在就是按左端点排序完的 + + for (int i = 0; i < q.size(); i++) cout << q[i].st << " " << q[i].ed << endl; -int main() { - cin >> n; - for (int i = 1; i <= n; i++) cin >> a[i]; // 密码数组 - for (res = 0;; res++) { - // 找出没有记录过的数字,并且,它的数量最多,如果存在数量一样多的多个数字,就比较谁的区间大,大的优先,如果无法比较谁的区间大,就数小的优先 - Node x = find(); - // 将x这个数字标识为已处理 - st[x.c] = 1; - if (x.count == 0) break; - } - cout << res << endl; return 0; } \ No newline at end of file diff --git a/小乔证件/GESP2024-03准考证.pdf b/小乔证件/GESP2024-03准考证.pdf new file mode 100644 index 0000000000000000000000000000000000000000..eaacdeb2cabb3d97d52e604e01c7500912e7aa84 GIT binary patch literal 157786 zcmb@t1z23$vM$;<2@(h%+=IJYa0u=W!M$iZT%$%>O*VacTUvrSLk~x^zycQH>QTK8* zXVF$Nu`xGwWl?i8aecX#wKujjXVJ1YbG0Jl;bW08x3;u$CF9~|kv9igLi5e|uEE4AK)~4pt&c;|I;UZ)z~E--Ma2+vgFW1%h^1;w4?@)D$7&oi+t>v-{aLy7_M7VD(1f)CngdnYHK6Ue6*C11m4;7NAGjwyw|JbH=5S>qFnDE zajV0p-&5BiRx6p#d}FbZ!aZGBk&$=yrun`5X9S^?ZFlD6?NMU4QVTl-F2TfKoqYFI zQyw_>x#Ew{{mE_LuQhU?LP3CU1YfqJsnkiPPdBb$zDeXF$l;-?K>VAh)7L96uFY!m zhLseV$fVLtKC?A{g0=T{0v=ZG4X(BPiQvcMx+-D!3^h8~^{?JPR%C0gq*RAP{R#k) z=NKK4-aLXr&I)s**x4CIVdQ;Ma8=eH)$taY*72LQ?`J*io*CFnGG>kC9nrSAzkblZ zU;b*Vl(9qu>&k7ga2%T{>+rE9C5g@X zwRRq*3&A~#(~oM7XR9^gp&|iaqHt@p^Om5vI;)$98mwL7;!pl-_K63U^A);;2QXEF z;6XZfKGq+w??YwLU&Xu^IfgWpzA}7tr?y3ZWK_65)wz}%2^lf*TSMI^)eQ(8 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mode 100644 index 0000000..164f362 --- /dev/null +++ b/小乔证件/GESP报名.txt @@ -0,0 +1,6 @@ +https://gesp.ccf.org.cn/ + +18686619970 +mdcija780522 + +进入后台 \ No newline at end of file diff --git a/小乔证件/关于GESPGESP考生须知.md b/小乔证件/关于GESP考生须知.md similarity index 100% rename from 小乔证件/关于GESPGESP考生须知.md rename to 小乔证件/关于GESP考生须知.md From bb3486a1c8e217720e86b0c984374a2e2ec3e3ea Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=E9=BB=84=E6=B5=B7?= <10402852@qq.com> Date: Mon, 11 Mar 2024 15:26:00 +0800 Subject: [PATCH 09/29] 'commit' --- .../LanQiao15STEMA202401/6_Test.cpp | 19 +++++++++++++++++++ 1 file changed, 19 insertions(+) diff --git a/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6_Test.cpp b/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6_Test.cpp index 5a9e3c5..8ac8152 100644 --- a/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6_Test.cpp +++ b/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6_Test.cpp @@ -8,9 +8,16 @@ struct Node { int st, ed; }; vector q; +int res; /* 5 1 2 3 3 2 + +5 +3 2 4 2 3 + +7 +3 2 4 2 5 3 1 */ int main() { int n; @@ -27,9 +34,21 @@ int main() { } } } + // 从左到右枚举,所以,不再需再进行按左端点排序,现在就是按左端点排序完的 + // Q:求一组区间的相交区间个数?如果存在一个相交区间,就多加1个1 + res = q.size(); for (int i = 0; i < q.size(); i++) cout << q[i].st << " " << q[i].ed << endl; + for (int i = 0; i < q.size(); i++) + for (int j = i + 1; j < q.size(); j++) { + if (q[i].ed > q[j].st && q[j].ed > q[i].ed) { + res++; + } + } + + cout << res << endl; + return 0; } \ No newline at end of file From e9c16803c796131305be22721eaf1883d1316825 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=E9=BB=84=E6=B5=B7?= <10402852@qq.com> Date: Mon, 11 Mar 2024 15:32:53 +0800 Subject: [PATCH 10/29] 'commit' --- .../ZhongGaoJi/LanQiao15STEMA202401/6.in | 19 +++++ .../LanQiao15STEMA202401/6_Test.cpp | 73 +++++++++---------- 2 files changed, 52 insertions(+), 40 deletions(-) create mode 100644 TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6.in diff --git a/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6.in b/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6.in new file mode 100644 index 0000000..9680da8 --- /dev/null +++ b/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6.in @@ -0,0 +1,19 @@ +5 +1 2 3 3 2 + +5 +2 3 2 3 1 + +5 +2 3 4 5 2 + +5 +3 2 4 2 5 + +7 +3 2 4 2 5 3 1 + +5 +3 2 3 2 5 + +0 \ No newline at end of file diff --git a/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6_Test.cpp b/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6_Test.cpp index 8ac8152..887f098 100644 --- a/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6_Test.cpp +++ b/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6_Test.cpp @@ -1,54 +1,47 @@ #include using namespace std; - +typedef pair PII; const int N = 110; int a[N]; int st[10]; -struct Node { - int st, ed; -}; -vector q; +vector q; int res; -/* -5 -1 2 3 3 2 - -5 -3 2 4 2 3 +int n; -7 -3 2 4 2 5 3 1 -*/ int main() { - int n; - cin >> n; - for (int i = 1; i <= n; i++) cin >> a[i]; // 密码数组 - - for (int i = 1; i <= n; i++) { - if (!st[a[i]]) { - st[a[i]] = 1; - for (int j = n; j; j--) - if (a[i] == a[j]) { - q.push_back({i, j}); - break; - } - } - } - - // 从左到右枚举,所以,不再需再进行按左端点排序,现在就是按左端点排序完的 - // Q:求一组区间的相交区间个数?如果存在一个相交区间,就多加1个1 - res = q.size(); - - for (int i = 0; i < q.size(); i++) cout << q[i].st << " " << q[i].ed << endl; - - for (int i = 0; i < q.size(); i++) - for (int j = i + 1; j < q.size(); j++) { - if (q[i].ed > q[j].st && q[j].ed > q[i].ed) { - res++; +#ifndef ONLINE_JUDGE + freopen("6.in", "r", stdin); +#endif + + while (cin >> n && n) { + // 各种清空 + memset(a, 0, sizeof a); + memset(st, 0, sizeof st); + q.clear(); + res = 0; + + for (int i = 1; i <= n; i++) cin >> a[i]; // 密码数组 + for (int i = 1; i <= n; i++) { // 遍历每个位置 + if (!st[a[i]]) { // 如果此数字没有被处理过 + st[a[i]] = 1; // 标识已处理 + for (int j = n; j; j--) // 从后向前找到它的终止位置 + if (a[i] == a[j]) { + q.push_back({i, j}); // 记录有效区间 + break; + } } } - cout << res << endl; + // 从左到右枚举,所以,不再需再进行按左端点排序,现在就是按左端点排序完的 + // Q:求一组区间的相交区间个数?如果存在一个相交区间,就多加1个1 + res = q.size(); + // 如果存在区间相交,则res++ + for (int i = 0; i < q.size(); i++) + for (int j = i + 1; j < q.size(); j++) + if (q[i].second > q[j].first && q[j].second > q[i].second) res++; + + cout << res << endl; + } return 0; } \ No newline at end of file From 2dec11093c5d8f0f3ddd986d0c0d265faa18b6b5 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=E9=BB=84=E6=B5=B7?= <10402852@qq.com> Date: Mon, 11 Mar 2024 15:35:05 +0800 Subject: [PATCH 11/29] 'commit' --- .../ZhongGaoJi/LanQiao15STEMA202401/6.cpp | 62 ++++++++++++------- .../LanQiao15STEMA202401/6_Test.cpp | 47 -------------- 2 files changed, 41 insertions(+), 68 deletions(-) delete mode 100644 TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6_Test.cpp diff --git a/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6.cpp b/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6.cpp index f4d46c6..4a5c4ef 100644 --- a/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6.cpp +++ b/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6.cpp @@ -1,30 +1,50 @@ #include using namespace std; +typedef pair PII; +const int N = 110; +int a[N]; +int st[10]; +vector q; +int res; +int n; -/* -测试用例: -5 -12321 +int main() { +#ifndef ONLINE_JUDGE + freopen("6.in", "r", stdin); +#endif -*/ -int cnt = 1; + while (cin >> n && n) { + // 各种清空 + memset(a, 0, sizeof a); + memset(st, 0, sizeof st); + q.clear(); + res = 0; -// 递归写法 -void dfs(string s) { - int p; - for (p = s.size() - 1; p >= 1; p--) - if (s[0] != s[p]) break; + for (int i = 1; i <= n; i++) cin >> a[i]; // 密码数组 + for (int i = 1; i <= n; i++) { // 遍历每个位置 + if (!st[a[i]]) { // 如果此数字没有被处理过 + st[a[i]] = 1; // 标识已处理 + for (int j = n; j; j--) // 从后向前找到它的终止位置 + if (a[i] == a[j]) { + q.push_back({i, j}); // 记录有效区间 + break; + } + } + } - string t; - for (int i = 1; i <= p; i++) t += s[i]; - if (t.size()) cnt++, dfs(t); -} + // 从左到右枚举,所以,不再需再进行按左端点排序,现在就是按左端点排序完的 + // Q:求一组区间的相交区间个数?如果存在一个相交区间,就多加1个1 + res = q.size(); -int main() { - int n; - string s; - cin >> n >> s; - dfs(s); - cout << cnt << endl; + // 如果存在区间相交,则res++ + for (int i = 0; i < q.size(); i++) + for (int j = i + 1; j < q.size(); j++) + if (q[i].second > q[j].first && q[j].second > q[i].second) res++; + + for (int i = 1; i <= n; i++) cout << a[i] << " "; + cout << endl; + cout << res << endl; + cout << endl; + } return 0; } \ No newline at end of file diff --git a/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6_Test.cpp b/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6_Test.cpp deleted file mode 100644 index 887f098..0000000 --- a/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6_Test.cpp +++ /dev/null @@ -1,47 +0,0 @@ -#include -using namespace std; -typedef pair PII; -const int N = 110; -int a[N]; -int st[10]; -vector q; -int res; -int n; - -int main() { -#ifndef ONLINE_JUDGE - freopen("6.in", "r", stdin); -#endif - - while (cin >> n && n) { - // 各种清空 - memset(a, 0, sizeof a); - memset(st, 0, sizeof st); - q.clear(); - res = 0; - - for (int i = 1; i <= n; i++) cin >> a[i]; // 密码数组 - for (int i = 1; i <= n; i++) { // 遍历每个位置 - if (!st[a[i]]) { // 如果此数字没有被处理过 - st[a[i]] = 1; // 标识已处理 - for (int j = n; j; j--) // 从后向前找到它的终止位置 - if (a[i] == a[j]) { - q.push_back({i, j}); // 记录有效区间 - break; - } - } - } - - // 从左到右枚举,所以,不再需再进行按左端点排序,现在就是按左端点排序完的 - // Q:求一组区间的相交区间个数?如果存在一个相交区间,就多加1个1 - res = q.size(); - - // 如果存在区间相交,则res++ - for (int i = 0; i < q.size(); i++) - for (int j = i + 1; j < q.size(); j++) - if (q[i].second > q[j].first && q[j].second > q[i].second) res++; - - cout << res << endl; - } - return 0; -} \ No newline at end of file From d9379759273ad2cea932aada3c4941499e2e7334 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=E9=BB=84=E6=B5=B7?= <10402852@qq.com> Date: Mon, 11 Mar 2024 15:35:40 +0800 Subject: [PATCH 12/29] 'commit' --- .../ZhongGaoJi/LanQiao15STEMA202401/6.jpg | Bin 113629 -> 0 bytes 1 file changed, 0 insertions(+), 0 deletions(-) delete mode 100644 TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6.jpg diff --git a/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6.jpg 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Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=E9=BB=84=E6=B5=B7?= <10402852@qq.com> Date: Mon, 11 Mar 2024 15:50:29 +0800 Subject: [PATCH 13/29] 'commit' --- TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6.drawio | 1 + TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6.in | 3 --- 2 files changed, 1 insertion(+), 3 deletions(-) create mode 100644 TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6.drawio diff --git a/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6.drawio b/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6.drawio new file mode 100644 index 0000000..69b8b2f --- /dev/null +++ b/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6.drawio @@ -0,0 +1 @@ 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\ No newline at end of file diff --git a/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6.in b/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6.in index 9680da8..d350888 100644 --- a/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6.in +++ b/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/6.in @@ -13,7 +13,4 @@ 7 3 2 4 2 5 3 1 -5 -3 2 3 2 5 - 0 \ No newline at end of file From 106ff4e716c5c06fb4bdf8e83cc956ecbf7d42c8 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=E9=BB=84=E6=B5=B7?= <10402852@qq.com> Date: Mon, 11 Mar 2024 16:55:02 +0800 Subject: [PATCH 14/29] 'commit' --- .../ZhongGaoJi/LanQiao15STEMA202401/7.cpp | 59 +++++++++++++++++++ 1 file changed, 59 insertions(+) create mode 100644 TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/7.cpp diff --git a/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/7.cpp b/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/7.cpp new file mode 100644 index 0000000..c6a35b3 --- /dev/null +++ b/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/7.cpp @@ -0,0 +1,59 @@ +#include +using namespace std; +typedef long long LL; +/* +4 +1 2 3 4 +*/ +const int N = 110; +struct Node { + int num; // 啥数 + int left, right; // 左侧是哪个节点,右侧是哪个节点 +} a[N]; +int st[N]; +int n; +LL res; +void dfs(int r, LL sum) { // u:本轮选择哪个靶子, r:剩余几次机会 sum:已经取得的累加和 + if (r == 0) { + res = max(res, sum); + return; + } + + for (int u = 1; u <= n; u++) { + if (!st[u]) { + int L = a[u].left, R = a[u].right; + + st[u] = 1; // u号靶子被标识为已放倒 + a[L].right = R; + a[R].left = L; + + // 深搜 + dfs(r - 1, sum + a[L].num * a[u].num * a[R].num); + + // 回溯 + a[L].right = u; + a[R].left = u; + st[u] = 0; // u被扶了起来 + } + } +} + +int main() { + cin >> n; + for (int i = 1; i <= n; i++) cin >> a[i].num; + + // 左右哨兵 + a[0].num = 1; + a[n + 1].num = 1; + + // 预处理 + for (int i = 1; i <= n; i++) { + a[i].left = a[i - 1].num; + a[i].right = a[i + 1].num; + } + + dfs(n, 0); + + cout << res << endl; + return 0; +} \ No newline at end of file From 78a8d94870507067c174a24ea154f2c6b9ff767d Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=E9=BB=84=E6=B5=B7?= <10402852@qq.com> Date: Tue, 12 Mar 2024 08:26:45 +0800 Subject: [PATCH 15/29] 'commit' --- TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/7.cpp | 5 +++-- 1 file changed, 3 insertions(+), 2 deletions(-) diff --git a/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/7.cpp b/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/7.cpp index c6a35b3..f2d9764 100644 --- a/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/7.cpp +++ b/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/7.cpp @@ -14,6 +14,7 @@ int st[N]; int n; LL res; void dfs(int r, LL sum) { // u:本轮选择哪个靶子, r:剩余几次机会 sum:已经取得的累加和 + if (r == 0) { res = max(res, sum); return; @@ -48,8 +49,8 @@ int main() { // 预处理 for (int i = 1; i <= n; i++) { - a[i].left = a[i - 1].num; - a[i].right = a[i + 1].num; + a[i].left = i - 1; + a[i].right = i + 1; } dfs(n, 0); From 344c7914a334e28d00bf88ee89f7cf3d1cf5c3d1 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=E9=BB=84=E6=B5=B7?= <10402852@qq.com> Date: Tue, 12 Mar 2024 08:47:00 +0800 Subject: [PATCH 16/29] 'commit' --- .../ZhongGaoJi/LanQiao15STEMA202401/7.cpp | 14 +++++++++----- 1 file changed, 9 insertions(+), 5 deletions(-) diff --git a/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/7.cpp b/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/7.cpp index f2d9764..9984521 100644 --- a/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/7.cpp +++ b/TangDou/LanQiaoBei/ZhongGaoJi/LanQiao15STEMA202401/7.cpp @@ -13,10 +13,13 @@ struct Node { int st[N]; int n; LL res; -void dfs(int r, LL sum) { // u:本轮选择哪个靶子, r:剩余几次机会 sum:已经取得的累加和 - +string finalPath; +void dfs(int r, LL sum, string path) { // u:本轮选择哪个靶子, r:剩余几次机会 sum:已经取得的累加和 if (r == 0) { - res = max(res, sum); + if (sum > res) { + res = sum; + finalPath = path; + } return; } @@ -29,7 +32,7 @@ void dfs(int r, LL sum) { // u:本轮选择哪个靶子, r:剩余几次机会 a[R].left = L; // 深搜 - dfs(r - 1, sum + a[L].num * a[u].num * a[R].num); + dfs(r - 1, sum + a[L].num * a[u].num * a[R].num, path + to_string(u)); // 回溯 a[L].right = u; @@ -53,8 +56,9 @@ int main() { a[i].right = i + 1; } - dfs(n, 0); + dfs(n, 0, ""); cout << res << endl; + cout << finalPath << endl; return 0; } \ No newline at end of file From f2da75e34567502b510794dfaa3476c83f2fc99f Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=E9=BB=84=E6=B5=B7?= <10402852@qq.com> Date: Tue, 12 Mar 2024 09:54:40 +0800 Subject: [PATCH 17/29] 'commit' --- TangDou/AcWing/BeiBao/4.md | 4 +- TangDou/AcWing/BeiBao/5.drawio | 1 + TangDou/AcWing/BeiBao/5.md | 61 ++++++++++++++++++--- TangDou/AcWing/BeiBao/背包问题专题.md | 54 ++++++++++++++++++ 4 files changed, 109 insertions(+), 11 deletions(-) create mode 100644 TangDou/AcWing/BeiBao/5.drawio diff --git a/TangDou/AcWing/BeiBao/4.md b/TangDou/AcWing/BeiBao/4.md index eb728a0..aa55e20 100644 --- a/TangDou/AcWing/BeiBao/4.md +++ b/TangDou/AcWing/BeiBao/4.md @@ -34,10 +34,10 @@ $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 \ No newline at end of file diff --git a/TangDou/AcWing/BeiBao/5.md b/TangDou/AcWing/BeiBao/5.md index 440185c..70efa0c 100644 --- a/TangDou/AcWing/BeiBao/5.md +++ b/TangDou/AcWing/BeiBao/5.md @@ -1,24 +1,67 @@ ##[$AcWing$ $5$. 多重背包问题 II](https://www.acwing.com/problem/content/description/5/) -### 一、与朴素版本的区别 + +### 一、题目描述 +有 $N$ 种物品和一个容量是 $V$ 的背包。 + +第 $i$ 种物品最多有 $s_i$ 件,每件体积是 $v_i$,价值是 $w_i$。 + +求解将哪些物品装入背包,可使物品体积总和不超过背包容量,且价值总和最大。输出**最大价值**。 + +**输入格式** +第一行两个整数,$N,V$,用空格隔开,分别表示物品种数和背包容积。 + +接下来有 $N$ 行,每行三个整数 $v_i,w_i,s_i$,用空格隔开,分别表示第 $i$ 种物品的体积、价值和数量。 + +**输出格式** +输出一个整数,表示最大价值。 + +**数据范围** +$0优化思路: -比如我们从一个货车搬百事可乐的易拉罐(因为我爱喝不健康的快乐水~),如果存在$200$个易拉罐,小超市本次要的数量为一个小于$200$的数字$n$,搬的策略是什么呢? +这里有一个比较妙的办法:就是用二进制思想把所有可能的组合都表示出来,转化为$01$背包问题! -$A$、一个一个搬,直到$n$为止。 +假如$A$物品,有$10$个,你最后要几个不一定,可能是$0$个,$1$个,$2$个,....,$10$个。 -$B$、在出厂前打成$1$个一箱,$2$个一箱,$4$个一箱,$8$个一箱,$16$个一箱,$32$个一箱,$64$个一箱,乘下$73$个,不够下一轮的$128$个了,该怎么办呢?剩下的打成$73$个一箱! +我们可以这样打包: ->为什么要把剩下的$73$个打成一个包呢?不是再分解成$64$,$32$这样的组合呢?这是因为本质是化解为$01$背包,一来这么分解速度最快,二来可以表示原来数量的任何子集。 +![](https://dsideal.obs.cn-north-1.myhuaweicloud.com/HuangHai/BlogImages/202403120953334.png) ### 三、一维实现代码 【推荐】 diff --git a/TangDou/AcWing/BeiBao/背包问题专题.md b/TangDou/AcWing/BeiBao/背包问题专题.md index ffc8e0b..b6b4854 100644 --- a/TangDou/AcWing/BeiBao/背包问题专题.md +++ b/TangDou/AcWing/BeiBao/背包问题专题.md @@ -365,3 +365,57 @@ int main() { ``` +### 六、多重背包 +**[$AcWing$ $4$. 多重背包问题 I](https://www.acwing.com/problem/content/description/4/)** + +**数据范围** +$0 +using namespace std; +const int N = 110; +int n, m; + +int f[N][N]; +int main() { + cin >> n >> m; + + for (int i = 1; i <= n; i++) { // 讨论每个物品 + int w, v, s; + cin >> v >> w >> s; + for (int j = 0; j <= m; j++) // 讨论每个剩余的体积 + for (int k = 0; k <= s && v * k <= j; k++) // 讨论加入的个数 + f[i][j] = max(f[i][j], f[i - 1][j - k * v] + w * k); + } + printf("%d\n", f[n][m]); + return 0; +} +``` + +**一维数组** +```cpp {.line-numbers} +#include + +using namespace std; + +const int N = 110; + +int n, m; +int f[N]; + +int main() { + cin >> n >> m; + for (int i = 1; i <= n; i++) { + int v, w, s; + cin >> v >> w >> s; + for (int j = m; j >= v; j--) + for (int k = 0; k <= s && k * v <= j; k++) + f[j] = max(f[j], f[j - v * k] + w * k); + } + printf("%d\n", f[m]); + return 0; +} +``` \ No newline at end of file From 3401b7714b1f4132f6ead9df34a0ce0bc5dd8e63 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=E9=BB=84=E6=B5=B7?= <10402852@qq.com> Date: Tue, 12 Mar 2024 10:04:41 +0800 Subject: [PATCH 18/29] 'commit' --- TangDou/AcWing/BeiBao/5.md | 8 ++++++-- 1 file changed, 6 insertions(+), 2 deletions(-) diff --git a/TangDou/AcWing/BeiBao/5.md b/TangDou/AcWing/BeiBao/5.md index 70efa0c..25ef606 100644 --- a/TangDou/AcWing/BeiBao/5.md +++ b/TangDou/AcWing/BeiBao/5.md @@ -53,9 +53,10 @@ $C++$一秒可以算$1e8$次,就是$1$亿次,$40$亿肯定会超时! ③ 第三层枚举当前物品使用了几个 **$Q$:我们最终的目标是什么?** -答:要搞清楚最后每个物品选择了几个才是最优的,价值最大的。 +答:每个物品选择了几个才是最优的,价值最大的。 -这里有一个比较妙的办法:就是用二进制思想把所有可能的组合都表示出来,转化为$01$背包问题! +**办法** +**用二进制思想把所有可能的组合都表示出来,转化为$01$背包问题!** 假如$A$物品,有$10$个,你最后要几个不一定,可能是$0$个,$1$个,$2$个,....,$10$个。 @@ -63,6 +64,9 @@ $C++$一秒可以算$1e8$次,就是$1$亿次,$40$亿肯定会超时! ![](https://dsideal.obs.cn-north-1.myhuaweicloud.com/HuangHai/BlogImages/202403120953334.png) +上面这样的转化,就是把一个个尝试,转化为了成批说事,比如上面圆圈里的$4$,理解为$i$物品$4$个打成一包,体积是原来的$4$倍,价值也是原来的$4$倍。这个打包完成的新物品,你可以选择,也可以不选择,当你最终方案中$i$物品要了$5$个时,这个打包$4$就被选中了,当你最终方案中$i$物品要了$2$个时,这个打包$4$就被放弃了。 + +打包,就是成批讨论,避免了一个个讨论,组团,按$yxc$的说法就是集合,不管怎么样吧,二进制打包法将极大加快计算速度!理由:比如$INT\_MAX$,其实就是$2^{31}$,也就是划分成了最多$31$个包,能不快吗!就是打包费点劲。 ### 三、一维实现代码 【推荐】 ```cpp {.line-numbers} From 90c1eb05d0b765c91f6e3646dd492890dbe6f840 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=E9=BB=84=E6=B5=B7?= <10402852@qq.com> Date: Tue, 12 Mar 2024 10:07:40 +0800 Subject: [PATCH 19/29] 'commit' --- TangDou/AcWing/BeiBao/背包问题专题.md | 47 +++++++++++++++++++++ 1 file changed, 47 insertions(+) diff --git a/TangDou/AcWing/BeiBao/背包问题专题.md b/TangDou/AcWing/BeiBao/背包问题专题.md index b6b4854..53bf3d6 100644 --- a/TangDou/AcWing/BeiBao/背包问题专题.md +++ b/TangDou/AcWing/BeiBao/背包问题专题.md @@ -418,4 +418,51 @@ int main() { printf("%d\n", f[m]); return 0; } +``` + +**[$AcWing$ $5$. 多重背包问题 II](https://www.acwing.com/problem/content/description/5/)** + +```cpp {.line-numbers} +#include +using namespace std; + +const int N = 1010; // 个数上限 +const int M = 2010; // 体积上限 +int n, m, idx; +int f[M]; + +/* +Q:为什么是N*12? +A:本题中v_i<=2000,因为c数组是装的打包后的物品集合,每类物品按二进制思想,2000最多可以打log2(2000)+1个包,即 10.96578+1=12个足够, +同时,共N类物品,所以最大值是N*12。 + +如果题目要求v_i<=INT_MAX,那么就是log2(INT_MAX)=31,开31个足够,因为31是准确的数字,不需要再上取整。 +为保险起见,可以不用计算数组上限,直接N*32搞定! +*/ +struct Node { + int w, v; +} c[N * 12]; + +int main() { + cin >> n >> m; + + // 多重背包的经典二进制打包办法 + for (int i = 1; i <= n; i++) { + int v, w, s; + cin >> v >> w >> s; + for (int j = 1; j <= s; j *= 2) { // 1,2,4,8,16,32,64,128,...打包 + c[++idx] = {j * w, j * v}; + s -= j; + } + // 不够下一个2^n时,独立成包 + if (s) c[++idx] = {s * w, s * v}; + } + // 按01背包跑 + for (int i = 1; i <= idx; i++) + for (int j = m; j >= c[i].v; j--) // 倒序 + f[j] = max(f[j], f[j - c[i].v] + c[i].w); + // 输出 + printf("%d\n", f[m]); + return 0; +} ``` \ No newline at end of file From e936904b01d7e1a3424e98044fff4940a502f891 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=E9=BB=84=E6=B5=B7?= <10402852@qq.com> Date: Tue, 12 Mar 2024 11:19:18 +0800 Subject: [PATCH 20/29] 'commit' --- TangDou/AcWing/BeiBao/4.md | 21 ++- TangDou/AcWing/BeiBao/6.md | 215 ++---------------------------- TangDou/AcWing/BeiBao/6_ErWei.cpp | 16 +-- 3 files changed, 31 insertions(+), 221 deletions(-) diff --git a/TangDou/AcWing/BeiBao/4.md b/TangDou/AcWing/BeiBao/4.md index aa55e20..de039fb 100644 --- a/TangDou/AcWing/BeiBao/4.md +++ b/TangDou/AcWing/BeiBao/4.md @@ -34,14 +34,21 @@ $0 + +* **状态表示** +集合:所有只从前$i$个物品中选,并且总体积不超过$j$的选法 +属性:集合中每一个选法对应的总价值的最大值 + +* **状态计算** +就是一个集合划分的过程,就是和完全背包很像,但不像完全背包有无穷多个,而是有数量限制 + +* 初始状态:`f[0][0]` +* 目标状态:`f[n][m]` + +#### 状态转移方程 +$$\large f[i][j] = max\{(f[i-1][j − k*v[i]] + k*w[i])   |  0 ≤ k ≤ s[i],j>=k*v[i]\}$$ ### 三、实现代码(二维数组) ```cpp {.line-numbers} diff --git a/TangDou/AcWing/BeiBao/6.md b/TangDou/AcWing/BeiBao/6.md index 7ba2b39..74aa3d8 100644 --- a/TangDou/AcWing/BeiBao/6.md +++ b/TangDou/AcWing/BeiBao/6.md @@ -1,4 +1,4 @@ -## [AcWing 6. 多重背包问题 III](https://www.acwing.com/problem/content/6/) +## [$AcWing$ $6$. 多重背包问题 $III$](https://www.acwing.com/problem/content/6/) ### 一、题目描述 有 $N$ 种物品和一个容量是 $V$ 的背包。 @@ -40,22 +40,8 @@ $0三种解法的根本区别在于数据范围,题面都是一样的: +### 二、三种解法 +三种解法的根本区别在于数据范围,题面都是一样的: