ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#164909 | #2907. moon | LJYljy | 100 | 59ms | 1164kb | C++ | 2.1kb | 2022-11-07 01:21:19 | 2022-11-07 01:21:21 |
answer
///一道结论题:若公主在找到王子的途中就碰到月亮,则公主之后每一秒都会碰到这个月亮。
///证明:设公主在ts的时候处于A点,碰到了圆心为B点,半径为r的月亮。
///这就说明:AB <= r。
///假设公主在(t + 1)s的时候移动到了A'点,且A'A = 1, 则r + 1 >= A’A + AB >= A'B, 即公主在(t + 1)s也能够碰到这个月亮。
///由数学归纳法可知原结论成立! Q.E.D
///为什么这个结论很重要呢? 因为有了这个结论,就可以不用维护公主找到王子途中的信息,直接考虑王子所在点的信息即可。
#include <iostream>
#include <cstdio>
#include <cstring>
#include <algorithm>
#include <cmath>
#include <cstdlib>
#define INF 10000000010
#define MAXN 1010
using namespace std;
inline long long read() {
register long long x = 0, f = 1;
char ch = getchar();
while (!isdigit(ch)) {
if (ch == '-') f = -1;
ch = getchar();
}
while (isdigit(ch)) {
x = x * 10 + ch - '0';
ch = getchar();
}
return x * f;
}
long long n, q;
struct node {
long long x, y;
} Orz_Chengchunhao[MAXN];
inline long long Orz_Sunzhihao(long long a_x, long long a_y, long long b_x, long long b_y) {
long long ans = sqrt((a_x - b_x) * (a_x - b_x) + (a_y - b_y) * (a_y - b_y));
if (ans * ans == (a_x - b_x) * (a_x - b_x) + (a_y - b_y) * (a_y - b_y)) ans--;
return ans;
}
int main() {
n = read(); q = read();
for (long long i = 1; i <= n; i++) {
Orz_Chengchunhao[i].x = read();
Orz_Chengchunhao[i].y = read();
}
for (long long i = 1; i <= q; i++) {
long long px = read(), py = read(), qx = read(), qy = read();
long long dist = abs(qx - px) + abs(qy - py), minn = INF;
for (long long j = 1; j <= n; j++) {
minn = min(minn, Orz_Sunzhihao(qx, qy, Orz_Chengchunhao[j].x, Orz_Chengchunhao[j].y) - 1);
}
minn = max(minn - dist, (long long)(-1));
printf("%lld\n", minn);
}
return 0;
}
详细
小提示:点击横条可展开更详细的信息
Test #1:
score: 10
Accepted
time: 4ms
memory: 1160kb
input:
1000 1000 0 212333 0 283947 0 419206 0 700211 0 704012 0 603222 0 346328 0 779005 0 124972 0 861984 ...
output:
-1 -1 605 732 334 271 -1 -1 -1 -1 195 -1 606 -1 -1 -1 -1 166 -1 276 148 -1 278 -1 -1 113 -1 -1 -1 20...
result:
ok 1000 lines
Test #2:
score: 10
Accepted
time: 7ms
memory: 1160kb
input:
1000 1000 0 662423 0 606008 0 791196 0 242205 0 217045 0 457311 0 717943 0 858612 0 73523 0 101532 0...
output:
316 -1 -1 458 783 -1 632 -1 1163 164 -1 -1 -1 617 0 -1 -1 -1 47 399 210 481 -1 220 544 -1 64 -1 -1 2...
result:
ok 1000 lines
Test #3:
score: 10
Accepted
time: 7ms
memory: 1164kb
input:
1000 1000 0 828144 0 276070 0 984925 0 229830 0 40474 0 96831 0 146398 0 272704 0 264943 0 147051 0 ...
output:
21 -1 686 -1 -1 -1 92 -1 484 -1 -1 84 -1 -1 -1 -1 1034 -1 -1 -1 -1 -1 309 -1 -1 -1 -1 -1 -1 -1 -1 -1...
result:
ok 1000 lines
Test #4:
score: 10
Accepted
time: 7ms
memory: 1160kb
input:
1000 1000 0 341547 0 606717 0 79249 0 603397 0 777363 0 956846 0 965646 0 249422 0 583457 0 873475 0...
output:
-1 1361 767 -1 -1 -1 -1 555 761 575 699 -1 -1 -1 -1 -1 565 -1 579 111 572 -1 1121 -1 -1 780 422 230 ...
result:
ok 1000 lines
Test #5:
score: 10
Accepted
time: 4ms
memory: 1160kb
input:
1000 1000 0 855912 0 760201 0 858056 0 836272 0 788744 0 994911 0 142988 0 467354 0 98575 0 635616 0...
output:
462 -1 113 -1 307 240 1498 953 -1 261 -1 288 1626 -1 75 38 -1 3521 737 121 -1 -1 -1 -1 1763 -1 -1 -1...
result:
ok 1000 lines
Test #6:
score: 10
Accepted
time: 8ms
memory: 1164kb
input:
1000 1000 381669 925292 514002 408344 412172 775834 879004 724399 81283 599326 982979 936347 513029 ...
output:
5267 32709 3218 19345 15684 5210 916 2554 4505 5362 800 464 2452 9433 747 7948 24534 10413 3406 7039...
result:
ok 1000 lines
Test #7:
score: 10
Accepted
time: 7ms
memory: 1160kb
input:
1000 1000 543803 844263 856944 503751 884464 629593 642723 534256 727730 875569 155824 514857 551581...
output:
393 31199 681 2712 19168 1316 21359 7302 26287 28057 917 571 3807 16781 21121 2338 12342 1196 3933 1...
result:
ok 1000 lines
Test #8:
score: 10
Accepted
time: 5ms
memory: 1164kb
input:
1000 1000 610538 921200 825059 254693 742633 941338 511931 636739 395274 972716 695703 722727 518638...
output:
7661 24565 5018 10129 93 6148 24921 9380 915 8156 1676 2582 1836 7197 20354 879 1258 4671 9851 1396 ...
result:
ok 1000 lines
Test #9:
score: 10
Accepted
time: 5ms
memory: 1164kb
input:
1000 1000 510034 707043 347191 923962 910156 293115 759134 788880 815658 926241 889893 191765 915064...
output:
9021 20111 6902 5606 4996 18399 17267 5366 3080 16633 14831 81077 146 7110 50517 5031 10417 23747 -1...
result:
ok 1000 lines
Test #10:
score: 10
Accepted
time: 5ms
memory: 1164kb
input:
1000 1000 791074 773488 651651 784700 963407 913302 652959 857044 331287 754286 348852 470019 935094...
output:
8662 24748 7736 55328 11791 2676 13210 5679 2995 7172 45289 1839 4255 156 7512 1189 4306 1604 10717 ...
result:
ok 1000 lines