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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#553462#7696. Forest for the TreesstigAC ✓249ms4632kbC++203.3kb2024-09-08 13:47:452024-09-08 13:47:45

Judging History

This is the latest submission verdict.

  • [2024-09-08 13:47:45]
  • Judged
  • Verdict: AC
  • Time: 249ms
  • Memory: 4632kb
  • [2024-09-08 13:47:45]
  • Submitted

answer

#include <bits/stdc++.h>

using namespace std;

template<typename A, typename B> ostream& operator<<(ostream &os, const pair<A, B> &p) { return os << '(' << p.first << ", " << p.second << ')'; }
template<typename T_container, typename T = typename enable_if<!is_same<T_container, string>::value, typename T_container::value_type>::type> ostream& operator<<(ostream &os, const T_container &v) { os << '{'; string sep; for (const T &x : v) os << sep << x, sep = ", "; return os << '}'; }
void dbg_out() { cerr << endl; }
template<typename Head, typename... Tail> void dbg_out(Head H, Tail... T) { cerr << ' ' << H; dbg_out(T...); }

#ifndef ONLINE_JUDGE
#define dbg(...) cerr << "(" << #__VA_ARGS__ << "):", dbg_out(__VA_ARGS__)
#else
#define dbg(...)
#endif

typedef int uci;
#define int long long
#define ld long double
#define sz(x) ((int)x.size())
#define all(a) (a).begin(), (a).end()
#define f first
#define s second

#define vpi vector<pair<int, int>>

uci main() {
    ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);

    int nt, ns, rmax;
    cin >> nt >> ns >> rmax;

    map<int, set<int>> forest;
    vector<pair<int, int>> points(nt);

    for (auto& x : points) {
        cin >> x.f >> x.s;
        forest[x.f].insert(x.s);
    }

    array<vpi, 4> rel = {vpi(ns), vpi(ns), vpi(ns), vpi(ns)};
    for (auto& x : rel[0]) {
        cin >> x.f >> x.s;
    }
    // fixed tree is at 0, 0
    // rel[0] = robot relative to fixed tree
    // rel[1..ns] = other trees relative to 0, 0

    for (int i = 1; i < ns; i++) {
        rel[0][i].f -= rel[0][0].f;
        rel[0][i].s -= rel[0][0].s;
    }

    rel[0][0].f = -rel[0][0].f;
    rel[0][0].s = -rel[0][0].s;

    for (int r = 1; r < 4; r++) {
        for (int i = 0; i < ns; i++) {
            rel[r][i].f = rel[r - 1][i].s;
            rel[r][i].s = -rel[r - 1][i].f;
        }
    }

    int found = 0;
    int rx, ry;

    for (int fix = 0; fix < nt; fix++) {
        int fixx = points[fix].f, fixy = points[fix].s;
        for (int rot = 0; rot < 4; rot++) {
            bool exists = 1;

            for (int posi = 1; posi < ns; posi++) {
                auto pos = rel[rot][posi];
                int testx = fixx + pos.f, testy = fixy + pos.s;
                if (!forest.contains(testx) || !forest[testx].contains(testy)) {
                    exists = 0;
                    break;
                }
            }

            if (!exists) continue;
            int robotx = fixx + rel[rot][0].f, roboty = fixy + rel[rot][0].s;

            if (forest[robotx].contains(roboty)) continue;

            int inrange{};
            for (auto& pt : points) {
                if (abs(robotx - pt.f) + abs(roboty - pt.s) <= rmax) {
                    inrange++;
                }

                if (inrange > ns) break;
            }

            if (fix == 2 && rot == 0) {
                dbg(inrange);
            }

            if (inrange == ns) {
                found++;
                rx = robotx;
                ry = roboty;
            }

            if (found > 1) break;
        }

        if (found > 1) break;
    }

    if (found == 0) {
        cout << "Impossible\n";
    }
    else if (found == 1) {
        cout << rx << ' ' << ry << '\n';
    }
    else {
        cout << "Ambiguous\n";
    }
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3548kb

input:

4 4 100
1 1
2 2
2 1
3 3
0 1
0 2
-1 2
-2 3

output:

0 1

result:

ok single line: '0 1'

Test #2:

score: 0
Accepted
time: 0ms
memory: 3660kb

input:

4 4 4
0 1
1 0
0 -1
-1 0
0 1
1 0
0 -1
-1 0

output:

Ambiguous

result:

ok single line: 'Ambiguous'

Test #3:

score: 0
Accepted
time: 141ms
memory: 3972kb

input:

4899 957 32
-9961 -9999
-9970 -9968
-9942 -9986
-9991 -9991
-9950 -9990
-9958 -9994
-9939 -9944
-9992 -9987
-9973 -9937
-9981 -9941
-9940 -9940
-9989 -9945
-9961 -9963
-9970 -9932
-9969 -9967
-9977 -9971
-9949 -9989
-9958 -9958
-9957 -9993
-9937 -9935
-9938 -9980
-9965 -9997
-9992 -9951
-9946 -9984
...

output:

-9929 -9959

result:

ok single line: '-9929 -9959'

Test #4:

score: 0
Accepted
time: 248ms
memory: 3888kb

input:

4899 941 40
-9970 -9968
-9942 -9986
-9991 -9991
-9950 -9990
-9958 -9994
-9939 -9944
-9992 -9987
-9973 -9937
-9981 -9941
-9940 -9940
-9989 -9945
-9961 -9963
-9970 -9932
-9969 -9967
-9977 -9971
-9949 -9989
-9958 -9958
-9957 -9993
-9937 -9935
-9938 -9980
-9965 -9997
-9992 -9951
-9946 -9984
-10000 -9955...

output:

Impossible

result:

ok single line: 'Impossible'

Test #5:

score: 0
Accepted
time: 249ms
memory: 3992kb

input:

4899 940 40
-9970 -9968
-9942 -9986
-9991 -9991
-9950 -9990
-9958 -9994
-9939 -9944
-9992 -9987
-9973 -9937
-9981 -9941
-9940 -9940
-9989 -9945
-9961 -9963
-9970 -9932
-9969 -9967
-9977 -9971
-9949 -9989
-9958 -9958
-9957 -9993
-9937 -9935
-9938 -9980
-9965 -9997
-9992 -9951
-9946 -9984
-10000 -9955...

output:

Impossible

result:

ok single line: 'Impossible'

Test #6:

score: 0
Accepted
time: 0ms
memory: 3552kb

input:

3 3 1000
1 0
0 1
1 1
1 0
0 1
1 1

output:

0 0

result:

ok single line: '0 0'

Test #7:

score: 0
Accepted
time: 2ms
memory: 4632kb

input:

5000 2 1000
0 0
1000 1000
66740 84615
-16851 37613
31009 31589
-68041 -71122
21568 86889
53743 -31217
-73472 63365
9594 -12742
-25497 -5264
15942 13442
19537 -83361
93129 67319
-27565 73861
75273 -19266
-55048 -79726
-45975 -36987
-51309 35820
-99049 -10933
-45867 99815
-52121 99729
-89976 -15892
38...

output:

Ambiguous

result:

ok single line: 'Ambiguous'

Test #8:

score: 0
Accepted
time: 3ms
memory: 4368kb

input:

5000 3 1000
0 0
1000 1000
1000 999
13954 9751
75888 -54632
10747 -12901
37707 -37988
-49564 26056
-30528 -9620
6227 -95560
-82768 85135
-15530 89254
-39739 -79664
-81590 -75580
91135 -20238
-52264 -66253
-41259 -90627
-7096 -35158
-67316 13384
79722 57595
-40566 99205
35854 -48598
-83531 -59472
-286...

output:

600 400

result:

ok single line: '600 400'

Test #9:

score: 0
Accepted
time: 0ms
memory: 3868kb

input:

4 3 100
1 1
2 2
2 1
3 3
0 1
0 2
-1 2

output:

Impossible

result:

ok single line: 'Impossible'

Test #10:

score: 0
Accepted
time: 0ms
memory: 3684kb

input:

3 3 100
1 1
2 1
3 1
0 1
0 2
0 3

output:

Ambiguous

result:

ok single line: 'Ambiguous'

Test #11:

score: 0
Accepted
time: 0ms
memory: 3564kb

input:

4 3 2
1 1
2 2
2 1
3 3
0 1
0 2
-1 1

output:

2 0

result:

ok single line: '2 0'

Test #12:

score: 0
Accepted
time: 0ms
memory: 3608kb

input:

121 121 50
4 0
-10 10
8 0
0 -4
-6 10
-8 -8
10 6
2 2
-8 10
-4 -8
6 2
-2 -2
-10 -6
-4 10
4 2
-6 -6
10 -10
8 2
0 -2
-8 -6
2 4
-4 -6
6 4
-2 0
-10 -4
-6 -4
10 -8
8 4
0 0
-8 -4
-4 -4
6 6
-2 2
-10 -2
-6 -2
10 -6
2 -10
0 2
-8 -2
6 -10
-4 -2
4 -10
-2 4
-10 0
8 -10
-6 0
2 -8
-8 0
6 -8
10 8
-4 0
-10 2
8 -8
-6 ...

output:

Ambiguous

result:

ok single line: 'Ambiguous'

Test #13:

score: 0
Accepted
time: 0ms
memory: 3836kb

input:

120 120 50
-10 10
8 0
0 -4
-6 10
-8 -8
10 6
2 2
-8 10
-4 -8
6 2
-2 -2
-10 -6
-4 10
4 2
-6 -6
10 -10
8 2
0 -2
-8 -6
2 4
-4 -6
6 4
-2 0
-10 -4
-6 -4
10 -8
8 4
0 0
-8 -4
-4 -4
6 6
-2 2
-10 -2
-6 -2
10 -6
2 -10
0 2
-8 -2
6 -10
-4 -2
4 -10
-2 4
-10 0
8 -10
-6 0
2 -8
-8 0
6 -8
10 8
-4 0
-10 2
8 -8
-6 2
4 ...

output:

5 5

result:

ok single line: '5 5'

Test #14:

score: 0
Accepted
time: 0ms
memory: 3676kb

input:

120 119 50
-10 10
8 0
0 -4
-6 10
-8 -8
10 6
2 2
-8 10
-4 -8
6 2
-2 -2
-10 -6
-4 10
4 2
-6 -6
10 -10
8 2
0 -2
-8 -6
2 4
-4 -6
6 4
-2 0
-10 -4
-6 -4
10 -8
8 4
0 0
-8 -4
-4 -4
6 6
-2 2
-10 -2
-6 -2
10 -6
2 -10
0 2
-8 -2
6 -10
-4 -2
4 -10
-2 4
-10 0
8 -10
-6 0
2 -8
-8 0
6 -8
10 8
-4 0
-10 2
8 -8
-6 2
4 ...

output:

Impossible

result:

ok single line: 'Impossible'

Test #15:

score: 0
Accepted
time: 0ms
memory: 3608kb

input:

121 121 50
4 0
-10 10
8 0
0 -4
-6 10
-8 -8
10 6
2 2
-8 10
-4 -8
6 2
-2 -2
-10 -6
-4 10
4 2
-6 -6
10 -10
8 2
0 -2
-8 -6
2 4
-4 -6
6 4
-2 0
-10 -4
-6 -4
10 -8
8 4
0 0
-8 -4
-4 -4
6 6
-2 2
-10 -2
-6 -2
10 -6
2 -10
0 2
-8 -2
6 -10
-4 -2
4 -10
-2 4
-10 0
8 -10
-6 0
2 -8
-8 0
6 -8
10 8
-4 0
-10 2
8 -8
-6 ...

output:

Ambiguous

result:

ok single line: 'Ambiguous'

Test #16:

score: 0
Accepted
time: 60ms
memory: 3712kb

input:

2598 217 20
-28 50
-36 46
-16 24
-24 20
50 6
-44 -38
42 2
6 48
-42 8
-50 4
-30 -18
-38 -22
-20 26
-18 -44
-38 14
2 50
-46 10
-18 -8
22 28
-26 -12
14 24
-34 -16
-6 -34
-14 -38
26 -2
-22 -42
18 -6
-4 12
36 48
-12 8
8 -14
48 22
0 -18
18 30
-8 -22
20 -40
12 -44
30 4
4 -48
-8 14
12 -8
4 -12
44 24
24 -34
...

output:

5 5

result:

ok single line: '5 5'