PAT 1043 Is It a Binary Search Tree
#include <cstdio>
#include <climits>
#include <cstdlib>
#include <vector> const double LO_BOUND = -1.0 + INT_MIN;
const double HI_BOUND = +1.0 + INT_MAX; using namespace std; class Node {
public:
Node* L;
Node* R;
int data;
Node(int d=, Node* l = NULL, Node* r = NULL) : L(l), R(r), data(d){}
}; Node* build_bst(vector<Node> &nums, int start, int end, bool mirror = false) {
if (start >= end) return NULL;
if (start + == end) {
nums[start].R = nums[start].L = NULL;
return &nums[start];
}
Node& root = nums[start];
int i = start + ;
while (i<end) {
if (!mirror) {
if (nums[i].data >= root.data) break;
} else {
if (nums[i].data < root.data) break;
}
i++;
}
// printf("Root: %d\n", start);
// printf("L: %d-%d\n", start + 1, i);
// printf("R: %d-%d\n", i, end); root.L = build_bst(nums, start + , i, mirror);
root.R = build_bst(nums, i, end, mirror); return &root;
} bool is_bst(Node* root, bool mirror = false, double lo = LO_BOUND, double hi = HI_BOUND) {
if (root == NULL) return true;
// printf("check %d lo=%f hi=%f mirror=%d\n", root->data, lo, hi, mirror);
if (root->data < lo || root->data >= hi) {
// printf("fail\n");
return false;
}
Node *vL = root->L, *vR = root->R, *tmp = NULL;
if (mirror) {
tmp = vL;
vL = vR;
vR = tmp;
}
return is_bst(vL, mirror, lo, root->data) && is_bst(vR, mirror, root->data, hi);
} void postorder(Node* root, vector<int> &v) {
if (root == NULL) return;
postorder(root->L, v);
postorder(root->R, v);
v.push_back(root->data);
return;
} void print(vector<int> &v) {
int len = v.size(); if (len < ) return;
printf("%d", v[]);
for (int i=; i<len; i++) {
printf(" %d", v[i]);
}
printf("\n");
}
int main() {
int N;
scanf("%d", &N);
vector<Node> nums(N); for (int i=; i<N; i++) {
scanf("%d", &(nums[i].data));
}
vector<int> post; Node* root = build_bst(nums, , nums.size());
if (is_bst(root)) {
printf("YES\n");
postorder(root, post);
print(post);
return ;
} root = build_bst(nums, , nums.size(), true);
if (is_bst(root, true)) {
printf("YES\n");
postorder(root, post);
print(post);
return ;
} else {
printf("NO\n");
}
return ;
}
就这样吧,还有那么多题拙计啊
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