HDU 4585 Shaolin
Shaolin
Time Limit: 1000ms
Memory Limit: 32768KB
This problem will be judged on
HDU. Original ID: 458564-bit integer IO format: %I64d Java class name: Main
Shaolin temple is very famous for its Kongfu monks.A lot of young men go to Shaolin temple every year, trying to be a monk there. The master of Shaolin evaluates a young man mainly by his talent on understanding the Buddism scripture, but fighting skill is also taken into account.
When a young man passes all the tests and is declared a new monk of Shaolin, there will be a fight , as a part of the welcome party. Every monk has an unique id and a unique fighting grade, which are all integers. The new monk must fight with a old monk whose fighting grade is closest to his fighting grade. If there are two old monks satisfying that condition, the new monk will take the one whose fighting grade is less than his.
The master is the first monk in Shaolin, his id is 1，and his fighting grade is 1,000,000,000.He just lost the fighting records. But he still remembers who joined Shaolin earlier, who joined later. Please recover the fighting records for him.
When a young man passes all the tests and is declared a new monk of Shaolin, there will be a fight , as a part of the welcome party. Every monk has an unique id and a unique fighting grade, which are all integers. The new monk must fight with a old monk whose fighting grade is closest to his fighting grade. If there are two old monks satisfying that condition, the new monk will take the one whose fighting grade is less than his.
The master is the first monk in Shaolin, his id is 1，and his fighting grade is 1,000,000,000.He just lost the fighting records. But he still remembers who joined Shaolin earlier, who joined later. Please recover the fighting records for him.
Input
There are several test cases.
In each test case:
The first line is a integer n (0 <n <=100,000),meaning the number of monks who joined Shaolin after the master did.(The master is not included).Then n lines follow. Each line has two integer k and g, meaning a monk's id and his fighting grade.( 0<= k ,g<=5,000,000)
The monks are listed by ascending order of jointing time.In other words, monks who joined Shaolin earlier come first.
The input ends with n = 0.
In each test case:
The first line is a integer n (0 <n <=100,000),meaning the number of monks who joined Shaolin after the master did.(The master is not included).Then n lines follow. Each line has two integer k and g, meaning a monk's id and his fighting grade.( 0<= k ,g<=5,000,000)
The monks are listed by ascending order of jointing time.In other words, monks who joined Shaolin earlier come first.
The input ends with n = 0.
Output
A fight can be described as two ids of the monks who make that fight. For each test case, output all fights by the ascending order of happening time. Each fight in a line. For each fight, print the new monk's id first ,then the old monk's id.
Sample Input
3 2 1 3 3 4 2 0
Sample Output
2 1 3 2 4 2
Source
解题：平衡树的使用。
map版
1 #include <iostream> 2 #include <cstdio> 3 #include <cstring> 4 #include <cmath> 5 #include <algorithm> 6 #include <climits> 7 #include <vector> 8 #include <queue> 9 #include <cstdlib> 10 #include <string> 11 #include <set> 12 #include <stack> 13 #include <map> 14 #define LL long long 15 #define pii pair<int,int> 16 #define INF 0x3f3f3f3f 17 using namespace std; 18 map<int,int>mp; 19 int main() { 20 int n,x,y; 21 while(scanf("%d",&n),n) { 22 mp.clear(); 23 mp[1e9] = 1; 24 for(int i = 0; i < n; i++) { 25 scanf("%d %d",&x,&y); 26 map<int,int>::iterator it = mp.lower_bound(y); 27 if(it->first == y) { 28 printf("%d %d\n",x,it->second); 29 } else { 30 if(it == mp.begin()) 31 printf("%d %d\n",x,it->second); 32 else { 33 map<int,int>::iterator it2 = it--; 34 printf("%d %d\n",x,y-it->first <= it2->first-y?it->second:it2->second); 35 } 36 mp[y] = x; 37 } 38 } 39 } 40 return 0; 41 }
Treap版
1 #include <iostream> 2 #include <cstdio> 3 #include <cstring> 4 #include <cmath> 5 #include <algorithm> 6 #include <climits> 7 #include <vector> 8 #include <queue> 9 #include <cstdlib> 10 #include <string> 11 #include <set> 12 #include <stack> 13 #include <ctime> 14 #define LL long long 15 #define pii pair<int,int> 16 #define INF 0x3f3f3f3f 17 using namespace std; 18 struct node { 19 int lt,rt,val,fix,id; 20 void init(){lt = rt = val = id = 0;} 21 }; 22 node Treap[200000]; 23 int tot; 24 void left_rotate(int &root) { 25 int b = Treap[root].rt; 26 Treap[root].rt = Treap[b].lt; 27 Treap[b].lt = root; 28 root = b; 29 } 30 void right_rotate(int &root) { 31 int b = Treap[root].lt; 32 Treap[root].lt = Treap[b].rt; 33 Treap[b].rt = root; 34 root = b; 35 } 36 void insertNode(int &root,int val,int id) { 37 if(!root) { 38 Treap[++tot].init(); 39 root = tot; 40 Treap[root].val = val; 41 Treap[root].id = id; 42 Treap[root].fix = rand(); 43 return; 44 } 45 if(val == Treap[root].val) return; 46 if(val < Treap[root].val) { 47 insertNode(Treap[root].lt,val,id); 48 if(Treap[Treap[root].lt].fix < Treap[root].fix) 49 right_rotate(root); 50 } else { 51 insertNode(Treap[root].rt,val,id); 52 if(Treap[Treap[root].rt].fix < Treap[root].fix) 53 left_rotate(root); 54 } 55 } 56 int pred(int &root,int val,int optimal){ 57 if(!root) return optimal; 58 if(Treap[root].val <= val) return pred(Treap[root].rt,val,root); 59 else return pred(Treap[root].lt,val,optimal); 60 } 61 int succ(int &root,int val,int optimal){ 62 if(!root) return optimal; 63 if(val <= Treap[root].val) return succ(Treap[root].lt,val,root); 64 else return succ(Treap[root].rt,val,optimal); 65 } 66 int main() { 67 srand(time(NULL)); 68 int n,x,y,root; 69 while(scanf("%d",&n),n){ 70 root = tot = 0; 71 insertNode(root,1e9,1); 72 for(int i = 0; i < n; i++){ 73 scanf("%d %d",&x,&y); 74 int it = succ(root,y,-1); 75 if(Treap[it].val == y) printf("%d %d\n",x,Treap[it].id); 76 else{ 77 int it2 = pred(root,y,-1); 78 if(it2 == -1) printf("%d %d\n",x,Treap[it].id); 79 else printf("%d %d\n",x,y-Treap[it2].val <= Treap[it].val - y?Treap[it2].id:Treap[it].id); 80 } 81 insertNode(root,y,x); 82 } 83 } 84 return 0; 85 }
SBT版
1 #include <iostream> 2 #include <cstdio> 3 #include <cstring> 4 #include <cmath> 5 #include <algorithm> 6 #include <climits> 7 #include <vector> 8 #include <queue> 9 #include <cstdlib> 10 #include <string> 11 #include <set> 12 #include <stack> 13 #define LL long long 14 #define pii pair<int,int> 15 #define INF 0x3f3f3f3f 16 using namespace std; 17 const int maxn = 100100; 18 struct node{ 19 int lt,rt,val,id,sz; 20 void init(){id = lt = rt = sz = 0;} 21 }; 22 node SBT[maxn]; 23 int n,tot; 24 void right_rotate(int &root){ 25 int k = SBT[root].lt; 26 SBT[root].lt = SBT[k].rt; 27 SBT[k].rt = root; 28 SBT[k].sz = SBT[root].sz; 29 SBT[root].sz = SBT[SBT[root].lt].sz+SBT[SBT[root].rt].sz+1; 30 root = k; 31 } 32 void left_rotate(int &root){ 33 int k = SBT[root].rt; 34 SBT[root].rt = SBT[k].lt; 35 SBT[k].lt = root; 36 SBT[k].sz = SBT[root].sz; 37 SBT[root].sz = SBT[SBT[root].lt].sz+SBT[SBT[root].rt].sz+1; 38 root = k; 39 } 40 void maintain(int &root){ 41 if(SBT[SBT[SBT[root].lt].lt].sz > SBT[SBT[root].rt].sz){ 42 right_rotate(root); 43 maintain(SBT[root].rt); 44 maintain(root); 45 return; 46 } 47 if(SBT[SBT[SBT[root].lt].rt].sz > SBT[SBT[root].rt].sz){ 48 left_rotate(SBT[root].lt); 49 right_rotate(root); 50 maintain(SBT[root].lt); 51 maintain(SBT[root].rt); 52 maintain(root); 53 return; 54 } 55 if(SBT[SBT[SBT[root].rt].rt].sz > SBT[SBT[root].lt].sz){ 56 left_rotate(root); 57 maintain(SBT[root].lt); 58 maintain(root); 59 return; 60 } 61 if(SBT[SBT[SBT[root].rt].lt].sz > SBT[SBT[root].lt].sz){ 62 right_rotate(SBT[root].rt); 63 left_rotate(root); 64 maintain(SBT[root].rt); 65 maintain(SBT[root].lt); 66 maintain(root); 67 } 68 } 69 void insertNode(int &root,int val,int id){ 70 if(!root){ 71 SBT[++tot].init(); 72 root = tot; 73 SBT[root].val = val; 74 SBT[root].id = id; 75 SBT[root].sz = 1; 76 }else{ 77 SBT[root].sz++; 78 if(val <= SBT[root].val) insertNode(SBT[root].lt,val,id); 79 else insertNode(SBT[root].rt,val,id); 80 } 81 maintain(root); 82 } 83 int pred(int &root,int val,int optimal){ 84 if(!root) return optimal; 85 if(SBT[root].val <= val) return pred(SBT[root].rt,val,root); 86 else return pred(SBT[root].lt,val,optimal); 87 } 88 int succ(int &root,int val,int optimal){ 89 if(!root) return optimal; 90 if(val <= SBT[root].val) return succ(SBT[root].lt,val,root); 91 else return succ(SBT[root].rt,val,optimal); 92 } 93 int main() { 94 int root,x,y; 95 while(scanf("%d",&n),n){ 96 root = tot = 0; 97 insertNode(root,1e9,1); 98 for(int i = 0; i < n; i++){ 99 scanf("%d %d",&x,&y); 100 int it = succ(root,y,-1); 101 if(SBT[it].val == y) printf("%d %d\n",x,SBT[it].id); 102 else{ 103 int it2 = pred(root,y,-1); 104 if(it2 == -1) printf("%d %d\n",x,SBT[it].id); 105 else printf("%d %d\n",x,y-SBT[it2].val <= SBT[it].val-y?SBT[it2].id:SBT[it].id); 106 } 107 insertNode(root,y,x); 108 } 109 } 110 return 0; 111 }