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| 1 | +#include<iostream> |
| 2 | +using namespace std; |
| 3 | + |
| 4 | +#define fastio ios_base::sync_with_stdio(0); cin.tie(0) |
| 5 | +#define LL long long |
| 6 | +#define FOR(i, j, k) for (auto i=j ; i<k ; i++) |
| 7 | + |
| 8 | +struct pt{ |
| 9 | + LL l,r; |
| 10 | + pt(LL x, LL y){ |
| 11 | + l=x; r=y; |
| 12 | + } |
| 13 | + pt(){} |
| 14 | +}; |
| 15 | + |
| 16 | +struct Node |
| 17 | +{ |
| 18 | + pt key; |
| 19 | + Node *left; |
| 20 | + Node *right; |
| 21 | + int height; |
| 22 | +}; |
| 23 | + |
| 24 | +int max(int a, int b); |
| 25 | + |
| 26 | +int height(Node *N) |
| 27 | +{ |
| 28 | + if (N == NULL) |
| 29 | + return 0; |
| 30 | + return N->height; |
| 31 | +} |
| 32 | + |
| 33 | +int max(int a, int b) |
| 34 | +{ |
| 35 | + return (a > b)? a : b; |
| 36 | +} |
| 37 | + |
| 38 | +Node* newNode(pt key) |
| 39 | +{ |
| 40 | + Node* node = new Node(); |
| 41 | + node->key = key; |
| 42 | + node->left = NULL; |
| 43 | + node->right = NULL; |
| 44 | + node->height = 1; |
| 45 | + return(node); |
| 46 | +} |
| 47 | + |
| 48 | +Node *rightRotate(Node *y) |
| 49 | +{ |
| 50 | + Node *x = y->left; |
| 51 | + Node *T2 = x->right; |
| 52 | + |
| 53 | + x->right = y; |
| 54 | + y->left = T2; |
| 55 | + |
| 56 | + y->height = max(height(y->left), |
| 57 | + height(y->right)) + 1; |
| 58 | + x->height = max(height(x->left), |
| 59 | + height(x->right)) + 1; |
| 60 | + |
| 61 | + return x; |
| 62 | +} |
| 63 | + |
| 64 | +Node *leftRotate(Node *x) |
| 65 | +{ |
| 66 | + Node *y = x->right; |
| 67 | + Node *T2 = y->left; |
| 68 | + |
| 69 | + y->left = x; |
| 70 | + x->right = T2; |
| 71 | + |
| 72 | + x->height = max(height(x->left), |
| 73 | + height(x->right)) + 1; |
| 74 | + y->height = max(height(y->left), |
| 75 | + height(y->right)) + 1; |
| 76 | + |
| 77 | + return y; |
| 78 | +} |
| 79 | + |
| 80 | +int getBalance(Node *N) |
| 81 | +{ |
| 82 | + if (N == NULL) |
| 83 | + return 0; |
| 84 | + return height(N->left) - |
| 85 | + height(N->right); |
| 86 | +} |
| 87 | + |
| 88 | +Node* insert(Node* node, pt key) |
| 89 | +{ |
| 90 | + if (node == NULL) |
| 91 | + return(newNode(key)); |
| 92 | + |
| 93 | + if (key.r < node->key.l) |
| 94 | + node->left = insert(node->left, key); |
| 95 | + else if (key.l > node->key.r) |
| 96 | + node->right = insert(node->right, key); |
| 97 | + else |
| 98 | + return node; |
| 99 | + |
| 100 | + node->height = 1 + max(height(node->left), |
| 101 | + height(node->right)); |
| 102 | + |
| 103 | + int balance = getBalance(node); |
| 104 | + |
| 105 | + if (balance > 1 && key.r < node->left->key.l) |
| 106 | + return rightRotate(node); |
| 107 | + |
| 108 | + if (balance < -1 && key.l > node->right->key.r) |
| 109 | + return leftRotate(node); |
| 110 | + |
| 111 | + if (balance > 1 && key.l > node->left->key.r) |
| 112 | + { |
| 113 | + node->left = leftRotate(node->left); |
| 114 | + return rightRotate(node); |
| 115 | + } |
| 116 | + |
| 117 | + if (balance < -1 && key.r < node->right->key.l) |
| 118 | + { |
| 119 | + node->right = rightRotate(node->right); |
| 120 | + return leftRotate(node); |
| 121 | + } |
| 122 | + |
| 123 | + return node; |
| 124 | +} |
| 125 | + |
| 126 | +Node * minValueNode(Node* node) |
| 127 | +{ |
| 128 | + Node* current = node; |
| 129 | + |
| 130 | + while (current->left != NULL) |
| 131 | + current = current->left; |
| 132 | + |
| 133 | + return current; |
| 134 | +} |
| 135 | + |
| 136 | +Node* deleteNode(Node* root, pt key) |
| 137 | +{ |
| 138 | + |
| 139 | + if (root == NULL) |
| 140 | + return root; |
| 141 | + |
| 142 | + if ( key.r < root->key.l ) |
| 143 | + root->left = deleteNode(root->left, key); |
| 144 | + else if( key.l > root->key.r ) |
| 145 | + root->right = deleteNode(root->right, key); |
| 146 | + else |
| 147 | + { |
| 148 | + if( (root->left == NULL) || |
| 149 | + (root->right == NULL) ) |
| 150 | + { |
| 151 | + Node *temp = root->left ? |
| 152 | + root->left : |
| 153 | + root->right; |
| 154 | + |
| 155 | + if (temp == NULL) |
| 156 | + { |
| 157 | + temp = root; |
| 158 | + root = NULL; |
| 159 | + } |
| 160 | + else |
| 161 | + *root = *temp; |
| 162 | + free(temp); |
| 163 | + } |
| 164 | + else |
| 165 | + { |
| 166 | + Node* temp = minValueNode(root->right); |
| 167 | + root->key = temp->key; |
| 168 | + root->right = deleteNode(root->right, |
| 169 | + temp->key); |
| 170 | + } |
| 171 | + } |
| 172 | + |
| 173 | + if (root == NULL) |
| 174 | + return root; |
| 175 | + |
| 176 | + root->height = 1 + max(height(root->left), |
| 177 | + height(root->right)); |
| 178 | + |
| 179 | + |
| 180 | + int balance = getBalance(root); |
| 181 | + |
| 182 | + if (balance > 1 && |
| 183 | + getBalance(root->left) >= 0) |
| 184 | + return rightRotate(root); |
| 185 | + |
| 186 | + if (balance > 1 && |
| 187 | + getBalance(root->left) < 0) |
| 188 | + { |
| 189 | + root->left = leftRotate(root->left); |
| 190 | + return rightRotate(root); |
| 191 | + } |
| 192 | + |
| 193 | + if (balance < -1 && |
| 194 | + getBalance(root->right) <= 0) |
| 195 | + return leftRotate(root); |
| 196 | + |
| 197 | + if (balance < -1 && |
| 198 | + getBalance(root->right) > 0) |
| 199 | + { |
| 200 | + root->right = rightRotate(root->right); |
| 201 | + return leftRotate(root); |
| 202 | + } |
| 203 | + |
| 204 | + return root; |
| 205 | +} |
| 206 | + |
| 207 | +void search(Node* root, pt &key, LL &d, LL x){ |
| 208 | + if(root==NULL) return; |
| 209 | + if(root->key.l<=x && root->key.r>=x){ |
| 210 | + d=0; key.l=root->key.l; |
| 211 | + key.r = root->key.r; |
| 212 | + } |
| 213 | + else if(root->key.l> x){ |
| 214 | + if(root->key.l-x <d || (root->key.l-x == d && key.l>root->key.r)){ |
| 215 | + d = root->key.l-x; |
| 216 | + key.l = root->key.l; |
| 217 | + key.r = root->key.r; |
| 218 | + } |
| 219 | + search(root->left,key,d,x); |
| 220 | + } |
| 221 | + else { |
| 222 | + if(x-root->key.r <d || (x-root->key.r == d && key.l>root->key.r)){ |
| 223 | + d = x-root->key.r; |
| 224 | + key.l = root->key.l; |
| 225 | + key.r = root->key.r; |
| 226 | + } |
| 227 | + search(root->right,key,d,x); |
| 228 | + } |
| 229 | +} |
| 230 | +int main() |
| 231 | +{ |
| 232 | + fastio; |
| 233 | + int t=1; cin>>t; int T=1; |
| 234 | + while(t--){ |
| 235 | + Node* root = NULL; |
| 236 | + int n,m; cin>>n>>m; |
| 237 | + pt v[n]; |
| 238 | + LL vv[m]; |
| 239 | + LL ans[m]; |
| 240 | + FOR(i,0,n){ |
| 241 | + cin>>v[i].l>>v[i].r; |
| 242 | + } |
| 243 | + FOR(i,0,m) cin>>vv[i]; |
| 244 | + FOR(i,0,n){ |
| 245 | + root=insert(root, pt(v[i].l, v[i].r)); |
| 246 | + } |
| 247 | + FOR(i,0,m){ |
| 248 | + LL x=vv[i]; |
| 249 | + LL d = 1e18; |
| 250 | + pt p = pt(INT_MAX, INT_MAX); |
| 251 | + search(root,p,d,x); |
| 252 | + root = deleteNode(root, pt(p.l,p.r)); |
| 253 | + LL k=x-d>=p.l && x-d<=p.r?x-d:x+d; |
| 254 | + |
| 255 | + ans[i] = k; |
| 256 | + if(p.l == p.r) continue; |
| 257 | + if(p.l == k) |
| 258 | + root = insert(root,pt(k+1,p.r)); |
| 259 | + else if(p.r==k) |
| 260 | + root = insert(root,pt(p.l,k-1)); |
| 261 | + else { |
| 262 | + root = insert(root,pt(p.l,k-1)); |
| 263 | + root = insert(root,pt(k+1,p.r)); |
| 264 | + } |
| 265 | + } |
| 266 | + printf("Case #%d: ",T++); |
| 267 | + for(int i =0;i<m;i++) printf("%lld ",ans[i]); |
| 268 | + printf("\n"); |
| 269 | + } |
| 270 | +} |
| 271 | + |
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