Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 4668 Accepted Submission(s):
2729
# include <stdio.h>
# include <string.h>
# include <stdlib.h>
# include <iostream>
# include <fstream>
# include <vector>
# include <queue>
# include <stack>
# include <map>
# include <math.h>
# include <algorithm>
using namespace std;
# define pi acos(-1.0)
# define mem(a,b) memset(a,b,sizeof(a))
# define FOR(i,a,n) for(int i=a; i<=n; ++i)
# define For(i,n,a) for(int i=n; i>=a; --i)
# define FO(i,a,n) for(int i=a; i<n; ++i)
# define Fo(i,n,a) for(int i=n; i>a ;--i)
typedef long long LL;
typedef unsigned long long ULL;
string num[105]={"1","1"};
//string比较函数:相等返回0,str1>str2返回1,str1<str2返回-1.
int Compare(string str1,string str2)
{
if(str1.length() > str2.length()) return 1;
else if(str1.length() < str2.length()) return -1;
else return str1.compare(str2);
}
string Big_Plus(string str1,string str2)
{
string ans;
int len1=str1.length();
int len2=str2.length();
//将长度较小的前面补0,使两个string长度相同
if(len1<len2){
for(int i=1;i<=len2-len1;i++){
str1="0"+str1;
}
}else {
for(int i=1;i<=len1-len2;i++){
str2="0"+str2;
}
}
int len=max(len1,len2);
int carry=0;
for(int i=len-1;i>=0;i--){
int tmp=str1[i]-‘0‘+str2[i]-‘0‘+carry;
carry=tmp/10;
tmp%=10;
ans=char(tmp+‘0‘)+ans;
}
if(carry) ans=char(carry+‘0‘)+ans;
return ans;
}
//支持大数减小数
string Big_Sub(string str1,string str2)
{
string ans;
int carry=0;
int difference=str1.length()-str2.length();//长度差
for(int i=str2.length()-1;i>=0;i--){
if(str1[difference+i]<str2[i]+carry){
ans=char(str1[difference+i]+10-str2[i]-carry+‘0‘)+ans;
carry=1;
}else {
ans=char(str1[difference+i]-str2[i]-carry+‘0‘)+ans;
carry=0;
}
}
for(int i=difference-1;i>=0;i--){
if(str1[i]-carry>=‘0‘){
ans=char(str1[i]-carry)+ans;
carry=0;
}else {
ans=char(str1[i]-carry+10)+ans;
carry=1;
}
}
//去除前导0
ans.erase(0,ans.find_first_not_of(‘0‘));
if(ans.empty()) ans="0";
return ans;
}
string Big_Mul(string str1,string str2)
{
string ans;
int len1=str1.length();
int len2=str2.length();
for(int i=len2-1;i>=0;i--){
string tmpstr="";
int data=str2[i]-‘0‘;
int carry=0;
if(data!=0){
for(int j=1;j<=len2-1-i;j++){
tmpstr+="0";
}
for(int j=len1-1;j>=0;j--){
int t=data*(str1[j]-‘0‘)+carry;
carry=t/10;
t%=10;
tmpstr=char(t+‘0‘)+tmpstr;
}
if(carry!=0) tmpstr=char(carry+‘0‘)+tmpstr;
}
ans=Big_Plus(ans,tmpstr);
}
ans.erase(0,ans.find_first_not_of(‘0‘));
if(ans.empty()) ans="0";
return ans;
}
//正数相除,商为quotient,余数为residue
void Big_Div(string str1,string str2,string& quotient,string& residue)
{
quotient=residue="";//商和余数清空
if(str2=="0"){//;判断除数是否为0
quotient=residue="ERROR";
return;
}
if(str1=="0"){//判断被除数是否为0
quotient=residue="0";
return;
}
int res=Compare(str1,str2);
if(res<0){//被除数小于除数
quotient="0";
residue=str1;
return;
}else if(res==0){
quotient="1";
residue="0";
return ;
}else {
int len1=str1.length();
int len2=str2.length();
string tmpstr;
tmpstr.append(str1,0,len2-1);//将str1的前len2位赋给tmpstr
for(int i=len2-1;i<len1;i++){
tmpstr=tmpstr+str1[i];//被除数新补充一位
tmpstr.erase(0,tmpstr.find_first_not_of(‘0‘));//去除前导0
if(tmpstr.empty()) tmpstr="0";
for(char ch=‘9‘;ch>=‘0‘;ch--){//试商
string tmp,ans;
tmp=tmp+ch;
ans=Big_Mul(str2,tmp);//计算乘积
if(Compare(ans,tmpstr)<=0){//试商成功
quotient=quotient+ch;
tmpstr=Big_Sub(tmpstr,ans);//减掉乘积
break;
}
}
}
residue=tmpstr;
}
quotient.erase(0,quotient.find_first_not_of(‘0‘));
if(quotient.empty()) quotient="0";
}
int main()
{
int n;
for(int i=0;i<=100;i++)
{
if(i>1)for(int j=0;j<i;j++)
{
num[i]=Big_Plus(Big_Mul(num[j],num[i-j-1]),num[i]);
}
cout<<"\""<<num[i]<<"\","<<endl;
}
return 0;
}
打表完成后的代码很容易:
# include <stdio.h>
# include <string.h>
# include <stdlib.h>
# include <iostream>
# include <fstream>
# include <vector>
# include <queue>
# include <stack>
# include <map>
# include <math.h>
# include <algorithm>
using namespace std;
# define pi acos(-1.0)
# define mem(a,b) memset(a,b,sizeof(a))
# define FOR(i,a,n) for(int i=a; i<=n; ++i)
# define For(i,n,a) for(int i=n; i>=a; --i)
# define FO(i,a,n) for(int i=a; i<n; ++i)
# define Fo(i,n,a) for(int i=n; i>a ;--i)
typedef long long LL;
typedef unsigned long long ULL;
string num[105]= {"1",
"1",
"2",
"5",
"14",
"42",
"132",
"429",
"1430",
"4862",
"16796",
"58786",
"208012",
"742900",
"2674440",
"9694845",
"35357670",
"129644790",
"477638700",
"1767263190",
"6564120420",
"24466267020",
"91482563640",
"343059613650",
"1289904147324",
"4861946401452",
"18367353072152",
"69533550916004",
"263747951750360",
"1002242216651368",
"3814986502092304",
"14544636039226909",
"55534064877048198",
"212336130412243110",
"812944042149730764",
"3116285494907301262",
"11959798385860453492",
"45950804324621742364",
"176733862787006701400",
"680425371729975800390",
"2622127042276492108820",
"10113918591637898134020",
"39044429911904443959240",
"150853479205085351660700",
"583300119592996693088040",
"2257117854077248073253720",
"8740328711533173390046320",
"33868773757191046886429490",
"131327898242169365477991900",
"509552245179617138054608572",
"1978261657756160653623774456",
"7684785670514316385230816156",
"29869166945772625950142417512",
"116157871455782434250553845880",
"451959718027953471447609509424",
"1759414616608818870992479875972",
"6852456927844873497549658464312",
"26700952856774851904245220912664",
"104088460289122304033498318812080",
"405944995127576985730643443367112",
"1583850964596120042686772779038896",
"6182127958584855650487080847216336",
"24139737743045626825711458546273312",
"94295850558771979787935384946380125",
"368479169875816659479009042713546950",
"1440418573150919668872489894243865350",
"5632681584560312734993915705849145100",
"22033725021956517463358552614056949950",
"86218923998960285726185640663701108500",
"337485502510215975556783793455058624700",
"1321422108420282270489942177190229544600",
"5175569924646105559418940193995065716350",
"20276890389709399862928998568254641025700",
"79463489365077377841208237632349268884500",
"311496878311103321137536291518809134027240",
"1221395654430378811828760722007962130791020",
"4790408930363303911328386208394864461024520",
"18793142726809884575211361279087545193250040",
"73745243611532458459690151854647329239335600",
"289450081175264899454283846029490767264392230",
"1136359577947336271931632877004667456667613940",
"4462290049988320482463241297506133183499654740",
"17526585015616776834735140517915655636396234280",
"68854441132780194707888052034668647142985206100",
"270557451039395118028642463289168566420671280440",
"1063353702922273835973036658043476458723103404520",
"4180080073556524734514695828170907458428751314320",
"16435314834665426797069144960762886143367590394940",
"64633260585762914370496637486146181462681535261000",
"254224158304000796523953440778841647086547372026600",
"1000134600800354781929399250536541864362461089950800",
"3935312233584004685417853572763349509774031680023800",
"15487357822491889407128326963778343232013931127835600",
"60960876535340415751462563580829648891969728907438000",
"239993345518077005168915776623476723006280827488229600",
"944973797977428207852605870454939596837230758234904050",
"3721443204405954385563870541379246659709506697378694300",
"14657929356129575437016877846657032761712954950899755100",
"57743358069601357782187700608042856334020731624756611000",
"227508830794229349661819540395688853956041682601541047340",
"896519947090131496687170070074100632420837521538745909320",
};
int main()
{
int n;
while(cin>>n,n!=-1)
{
cout<<num[n]<<endl;
}
return 0;
}
HDU 1134 Game of Connections(卡特兰数)
原文:http://www.cnblogs.com/teble/p/7192864.html