uva 548 Tree
2010-08-24 18:20
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好多次都re,原来是栈不够用。。。把递归改成迭代就ac了。。。
You are to determine the value of the leaf node in a given binary tree that is the terminal node of a path of least value from the root of the binary tree to any leaf. The value of a path is the sum of values of nodes along that path.
associated with an inorder traversal of the tree and the second line will contain the sequence of values associated with a postorder traversal of the tree. All values will be different, greater than zero and less than 10000. You may assume that no binary tree
will have more than 10000 nodes or less than 1 node.
Tree |
Input
The input file will contain a description of the binary tree given as the inorder and postorder traversal sequences of that tree. Your program will read two line (until end of file) from the input file. The first line will contain the sequence of valuesassociated with an inorder traversal of the tree and the second line will contain the sequence of values associated with a postorder traversal of the tree. All values will be different, greater than zero and less than 10000. You may assume that no binary tree
will have more than 10000 nodes or less than 1 node.
Output
For each tree description you should output the value of the leaf node of a path of least value. In the case of multiple paths of least value you should pick the one with the least value on the terminal node.Sample Input
3 2 1 4 5 7 6 3 1 2 5 6 7 4 7 8 11 3 5 16 12 18 8 3 11 7 16 18 12 5 255 255
Sample Output
1 3 255
#include <cstdio> #include <cstdlib> #include <algorithm> #include <cassert> #include <stack> #include <cstring> using namespace std; #define MAX 10000 #define LEFT 0 #define RIGHT 1 int post_order[MAX]; int in_order[MAX]; int pv_post_order[MAX]; int child_post_order[2][MAX]; int sz; int main() { char *pc; char buf[50000]; int i, j; int pv;//path value int ip_in, iq_in; int ip_post, iq_post; int l_or_r;//left or right int par; stack<int> st; while(true) { if(fgets(buf, sizeof(buf) - 1, stdin) == NULL) break; i = 0; pc = strtok(buf, " /t/n"); while(pc != NULL) { sscanf(pc, "%d", &in_order[i++]); pc = strtok(NULL, " /t/n"); } sz = i; fgets(buf, sizeof(buf) - 1, stdin); i = 0; pc = strtok(buf, " /t/n"); while(pc != NULL) { sscanf(pc, "%d", &post_order[i++]); pc = strtok(NULL, " /t/n"); } assert(sz == i); /* fprintf(stderr, " in_order : "); for(int k=0; k<sz; ++k) fprintf(stderr, "%3d", in_order[k]); fprintf(stderr, "/npost_order : "); for(int k=0; k<sz; ++k) fprintf(stderr, "%3d", post_order[k]); fprintf(stderr, "/n"); */ while(!st.empty()) st.pop(); st.push(0); st.push(i);//in order st.push(0); st.push(i);//post order st.push(-1);//parent st.push(-1);//left child or right child st.push(0);//path value while(!st.empty()) { pv = st.top(); st.pop(); l_or_r = st.top(); st.pop(); par = st.top(); st.pop(); iq_post = st.top(); st.pop(); ip_post = st.top(); st.pop(); iq_in = st.top(); st.pop(); ip_in = st.top(); st.pop(); // fprintf(stderr, "ip_in = %d, iq_in = %d, ip_post = %d, iq_post = %d, ", ip_in, iq_in, ip_post, iq_post); // fprintf(stderr, "path value = %d, l_or_r = %d, parent = %d/n", pv, l_or_r, par); if(ip_in == iq_in) { assert(ip_post == iq_post); assert(par != -1); assert(l_or_r != -1);//not a null tree child_post_order[l_or_r][par] = -1; // fprintf(stderr, "continue, line = %d/n", __LINE__); continue; } child_post_order[l_or_r][par] = iq_post - 1; // curr_sum += post_order[iq_post - 1]; // sum_post_order[iq_post - 1] = curr_sum; pv_post_order[iq_post - 1] = post_order[iq_post - 1] + pv; for(i=ip_in; i<iq_in; ++i) { if(in_order[i] == post_order[iq_post - 1]) break; } assert(i != iq_in); st.push(ip_in); st.push(i); st.push(ip_post); st.push(ip_post + i - ip_in); st.push(iq_post - 1); st.push(LEFT); st.push(pv_post_order[iq_post - 1]);//first half st.push(i + 1); st.push(iq_in); st.push(ip_post + i - ip_in); st.push(iq_post - 1); st.push(iq_post - 1); st.push(RIGHT); st.push(pv + post_order[iq_post - 1]);//second half } j = 0; for(i=1; i<sz; ++i) { if(pv_post_order[i] < pv_post_order[j] && child_post_order[LEFT][i] == -1 && child_post_order[RIGHT][i] == -1) j = i; } fprintf(stdout, "%d/n", post_order[j]); } return 0; }[/code]
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