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题目:
http://acm.hdu.edu.cn/showproblem.php?pid=4879
题意:
给一个n*m的矩阵,有n个人,t次操作,操作有以下两种:
1、令编号x的人上下左右移动
2、令与编号x的人同行同列的人聚集到x这里,输出花费
方法:
使用两个set,一个维护x轴,一个维护y轴
一个map<point,int>,表示这一个point有多少个人
然后根据要求的操作直接操作即可,nlgn复杂度
注意:
1、由于set或者map是红黑树,所以删除节点的后,内部节点重排,it++会变化,需要重新查询给迭代器it赋值,这里一直RE
2、计算两者距离时,计算xi-xj和yi-yj时需要mod,否则乘起来会爆long long
代码:
1 // #pragma comment(linker, "/STACK:102400000,102400000") 2 #include <cstdio> 3 #include <iostream> 4 #include <cstring> 5 #include <string> 6 #include <cmath> 7 #include <set> 8 #include <list> 9 #include <map> 10 #include <iterator> 11 #include <cstdlib> 12 #include <vector> 13 #include <queue> 14 #include <stack> 15 #include <algorithm> 16 #include <functional> 17 using namespace std; 18 typedef long long LL; 19 #define ROUND(x) round(x) 20 #define FLOOR(x) floor(x) 21 #define CEIL(x) ceil(x) 22 const int maxn = 100010; 23 const int maxm = 0; 24 const LL mod = 1e9 + 7; 25 const int inf = 0x3f3f3f3f; 26 const LL inf64 = 0x3f3f3f3f3f3f3f3fLL; 27 const double INF = 1e30; 28 const double eps = 1e-6; 29 const int P[4] = {0, 0, -1, 1}; 30 const int Q[4] = {1, -1, 0, 0}; 31 const int PP[8] = { -1, -1, -1, 0, 0, 1, 1, 1}; 32 const int QQ[8] = { -1, 0, 1, -1, 1, -1, 0, 1}; 33 LL n, m; 34 LL ans = 0; 35 int id; 36 LL d; 37 struct Point 38 { 39 LL x, y; 40 int id; 41 Point(LL _x = -1, LL _y = -1, int _id = -1): x(_x), y(_y), id(_id) {} 42 bool operator == (const Point &o) const 43 { 44 return x == o.x && y == o.y; 45 } 46 } node[maxn]; 47 struct cmp1 48 { 49 bool operator () (const Point &A, const Point &B) const 50 { 51 if (A.x == B.x) return A.y < B.y; 52 return A.x < B.x; 53 } 54 }; 55 struct cmp2 56 { 57 bool operator () (const Point &A, const Point &B) const 58 { 59 if (A.y == B.y) return A.x < B.x; 60 return A.y < B.y; 61 } 62 }; 63 set<Point, cmp1> s1; 64 set<Point, cmp2> s2; 65 map<Point, int, cmp1> mp; 66 void debug() 67 { 68 cout << "debug:" << endl; 69 cout << "s1:" << endl; 70 for (set<Point>::iterator it = s1.begin(); it != s1.end(); it++) 71 { 72 cout << it->x << " " << it->y << endl; 73 } 74 cout << "s2:" << endl; 75 for (set<Point>::iterator it = s2.begin(); it != s2.end(); it++) 76 { 77 cout << it->x << " " << it->y << endl; 78 } 79 cout << "mp:" << endl; 80 for (map<Point, int>::iterator it = mp.begin(); it != mp.end(); it++) 81 { 82 cout << it->first.x << " " << it->first.y << " " << it->second << endl; 83 } 84 cout << endl; 85 } 86 void init() 87 { 88 mp.clear(); 89 s1.clear(); 90 s2.clear(); 91 ans = 0; 92 } 93 void add(Point p) 94 { 95 if (mp.count(p) == 0) 96 { 97 mp[p] = 1; 98 s1.insert(p); 99 s2.insert(p); 100 } 101 else mp[p]++; 102 } 103 void del(Point p) 104 { 105 map<Point, int, cmp1>::iterator ite = mp.find(p); 106 ite->second--; 107 if (ite->second == 0) 108 { 109 mp.erase(ite); 110 s1.erase(p); 111 s2.erase(p); 112 } 113 } 114 void input() 115 { 116 s1.insert(Point(-1, 0)); 117 s1.insert(Point(m + 1, 0)); 118 s2.insert(Point(0, -1)); 119 s2.insert(Point(0, m + 1)); 120 // s2.insert(Point(0, m + 2)); 121 for (LL i = 1; i <= n; i++) 122 { 123 scanf("%I64d%I64d", &node[i].x, &node[i].y); 124 node[i].id = i; 125 add(node[i]); 126 } 127 } 128 LL dis(Point a, Point b) 129 { 130 return ((((a.x - b.x) % mod) * ((a.x - b.x) % mod) % mod) + (((a.y - b.y) % mod) * ((a.y - b.y) % mod) % mod)) % mod; 131 } 132 void exq() 133 { 134 ans = 0; 135 Point tt = node[id]; 136 map<Point, int, cmp1>::iterator ite = mp.find(tt); 137 138 set<Point, cmp1>::iterator it1 = s1.find(tt); 139 set<Point, cmp1>::iterator L1 = it1, R1 = it1; 140 for (; L1->x == it1->x; --L1); ++L1; 141 for (; R1->x == it1->x; ++R1); 142 for (set<Point, cmp1>::iterator it = L1; it != R1;) 143 { 144 // cout << "it1: " << it->x << " " << it->y << endl; 145 if (it == it1) 146 { 147 it++; 148 continue; 149 } 150 Point nt = *it; 151 152 node[it->id] = tt; 153 int cnt = mp[nt]; 154 ans += cnt * dis(tt, nt) % mod; 155 ans %= mod; 156 ite->second += cnt; 157 it++; 158 Point ntt = *it; 159 mp.erase(nt); 160 s1.erase(nt); 161 s2.erase(nt); 162 it = s1.find(ntt); 163 } 164 165 set<Point, cmp2>::iterator it2 = s2.find(tt); 166 set<Point, cmp2>::iterator L2 = it2, R2 = it2; 167 for (; L2->y == it2->y; --L2); ++L2; 168 for (; R2->y == it2->y; ++R2); 169 // cout << "R2: " << R2->x << " " << R2->y << endl; 170 for (set<Point, cmp2>::iterator it = L2; it != R2;) 171 { 172 // cout << "it2: " << it->x << " " << it->y << endl; 173 // if (it == R2) break; 174 if (it == it2) 175 { 176 it++; 177 continue; 178 } 179 Point nt = *it; 180 node[it->id] = tt; 181 int cnt = mp[nt]; 182 ans += cnt * dis(tt, nt) % mod; 183 ans %= mod; 184 ite->second += cnt; 185 //set<Point, cmp2>::iterator tmp = it; 186 it++; 187 Point ntt = *it; 188 mp.erase(nt); 189 s1.erase(nt); 190 s2.erase(nt); 191 it = s2.find(ntt); 192 } 193 194 printf("%I64d\n", ans); 195 } 196 void exu() 197 { 198 Point pre = node[id]; 199 Point now = Point(pre.x - d, pre.y, pre.id); 200 node[id] = now; 201 del(pre); 202 add(now); 203 } 204 void exd() 205 { 206 Point pre = node[id]; 207 Point now = Point(pre.x + d, pre.y, pre.id); 208 node[id] = now; 209 del(pre); 210 add(now); 211 } 212 void exl() 213 { 214 Point pre = node[id]; 215 Point now = Point(pre.x , pre.y - d, pre.id); 216 node[id] = now; 217 del(pre); 218 add(now); 219 } 220 void exr() 221 { 222 Point pre = node[id]; 223 Point now = Point(pre.x , pre.y + d, pre.id); 224 node[id] = now; 225 del(pre); 226 add(now); 227 } 228 void solve() 229 { 230 int T; 231 scanf("%d", &T); 232 char str[10]; 233 while (T--) 234 { 235 // debug(); 236 scanf("%s", str); 237 // puts(str); 238 if (str[0] == ‘Q‘) 239 { 240 scanf("%d", &id); 241 id ^= (int)ans; 242 // cout << "id: " << ans << " " << id << endl; 243 exq(); 244 } 245 else 246 { 247 scanf("%d%I64d", &id, &d); 248 id ^= (int)ans; 249 // cout << "id: " << ans << " " << id << endl; 250 if (str[0] == ‘U‘) 251 exu(); 252 else if (str[0] == ‘D‘) 253 exd(); 254 else if (str[0] == ‘L‘) 255 exl(); 256 else 257 exr(); 258 } 259 // debug(); 260 } 261 } 262 void output() 263 { 264 // 265 } 266 int main() 267 { 268 // std::ios_base::sync_with_stdio(false); 269 // #ifndef ONLINE_JUDGE 270 // freopen("in.cpp", "r", stdin); 271 // #endif 272 273 while (~scanf("%I64d%I64d", &n, &m)) 274 { 275 init(); 276 input(); 277 solve(); 278 output(); 279 } 280 return 0; 281 }
HDU 4879 ZCC loves march (2014多校2-1008,数据结构,STL,模拟题)
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原文地址:http://www.cnblogs.com/xysmlx/p/3870861.html