📄 zp1062.cpp
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//---------------------------------------------------------------------------
#include <vcl.h>
#pragma hdrstop
//---------------------------------------------------------------------------
#pragma argsused
#include <stdio.h>
struct Node
{
struct Node* left;
struct Node* right;
};
struct Node* root;
int a[19];
void cal(int n, int m, struct Node* cur)
{
int i=0;
while (n>a[i]*a[m-1-i])
{
n-=a[i]*a[m-1-i];
i++;
}
if (i)
{
cur->left=new(struct Node);
cur->left->left=NULL;
cur->left->right=NULL;
cal((n-1)/a[m-1-i]+1,i,cur->left);
}
if (m-1-i)
{
cur->right=new(struct Node);
cur->right->left=NULL;
cur->right->right=NULL;
cal((n-1)%a[m-1-i]+1,m-1-i,cur->right);
}
}
void pre_travel(struct Node* cur)
{
printf("(");
if(cur->left!=NULL) pre_travel(cur->left);
printf("X");
if(cur->right!=NULL) pre_travel(cur->right);
printf(")");
}
int main(int argc, char* argv[])
{
int d[19],
m,n,i,j;
a[0]=1;
d[0]=0;
a[1]=1;
d[1]=1;
for (i=2;i<=18;i++)
{
a[i]=0;
for (j=0;j<i;j++)
a[i]+=a[j]*a[i-1-j];
d[i]=d[i-1]+a[i];
}
while (scanf("%d",&n) && n)
{
for (i=1;i<=18;i++)
if (n<=d[i])
break;
n-=d[i-1];
m=i;
root=new(struct Node);
root->left=NULL;
root->right=NULL;
cal(n,m,root);
if(root->left!=NULL)
pre_travel(root->left);
printf("X");
if(root->right!=NULL)
pre_travel(root->right);
printf("\n");
}
return 0;
}
//---------------------------------------------------------------------------
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