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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#639499#6615. Cross the Mazejty233TL 5ms3884kbC++236.6kb2024-10-13 20:03:062024-10-13 20:03:06

Judging History

你现在查看的是最新测评结果

  • [2024-10-13 20:03:06]
  • 评测
  • 测评结果:TL
  • 用时:5ms
  • 内存:3884kb
  • [2024-10-13 20:03:06]
  • 提交

answer

#include "bits/stdc++.h"

using ll = long long;

struct MCFGraph {
    struct Edge {
        int v, c;
        double f;
        Edge(int v, int c, double f) : v(v), c(c), f(f) {}
    };
    const int n;
    std::vector<Edge> e;
    std::vector<std::vector<int>> g;
    std::vector<double> h, dis;
    std::vector<int> pre;
    bool dijkstra(int s, int t) {
        dis.assign(n, std::numeric_limits<double>::max());
        pre.assign(n, -1);
        std::priority_queue<std::pair<double, int>, std::vector<std::pair<double, int>>, std::greater<>> que;
        dis[s] = 0;
        que.emplace(0, s);
        while (!que.empty()) {
            double d = que.top().first;
            int u = que.top().second;
            que.pop();
            if (dis[u] < d) continue;
            for (int i : g[u]) {
                int v = e[i].v;
                int c = e[i].c;
                double f = e[i].f;
                if (c > 0 && dis[v] > d + h[u] - h[v] + f) {
                    dis[v] = d + h[u] - h[v] + f;
                    pre[v] = i;
                    que.emplace(dis[v], v);
                }
            }
        }
        return dis[t] != std::numeric_limits<double>::max();
    }
    MCFGraph(int n) : n(n), g(n) {}
    void addEdge(int u, int v, int c, double f) {
        g[u].push_back(e.size());
        e.emplace_back(v, c, f);
        g[v].push_back(e.size());
        e.emplace_back(u, 0, -f);
    }
    std::pair<int, double> flow(int s, int t) {
        int flow = 0;
        double cost = 0;
        h.assign(n, 0);
        while (dijkstra(s, t)) {
            for (int i = 0; i < n; ++i) h[i] += dis[i];
            int aug = std::numeric_limits<int>::max();
            for (int i = t; i != s; i = e[pre[i] ^ 1].v) aug = std::min(aug, e[pre[i]].c);
            for (int i = t; i != s; i = e[pre[i] ^ 1].v) {
                e[pre[i]].c -= aug;
                e[pre[i] ^ 1].c += aug;
            }
            flow += aug;
            cost += double(aug) * h[t];
        }
        return std::make_pair(flow, cost);
    }
};

std::vector<std::pair<int, int>> players, ropes;
using std::cin, std::cout;

int h_dis(const std::pair<int, int> &a, const std::pair<int, int> &b) {
    return std::abs(a.first - b.first) + std::abs(a.second - b.second);
}

double e_dis(const std::pair<int, int> &a, const std::pair<int, int> &b) {
    return std::sqrt((a.first - b.first) * (a.first - b.first) + (a.second - b.second) * (a.second - b.second));
}

bool check(int mid, std::vector<std::pair<int, int>> &ans) {
    MCFGraph g(players.size() * 2 + 5);
    std::vector<std::tuple<int, int, int>> edge_id;
    edge_id.reserve(players.size() * ropes.size());
    for(int i = 0; i < players.size(); i++) {
        for(int j = 0; j < ropes.size(); j++) {
            if(h_dis(players[i], ropes[j]) > mid) {
                continue;
            }
            edge_id.emplace_back(i, j, g.e.size());
            g.addEdge(i, j + players.size(), 1, e_dis(players[i], ropes[j]));
        }
    }
    int s = players.size() * 2;
    int t = s + 1;
    for(int i = 0; i < players.size(); i++) {
        g.addEdge(s, i, 1, 0);
        g.addEdge(i + players.size(), t, 1, 0);
    }
    auto [flow, cost] = g.flow(s, t);
    if(flow != players.size()) {
        return false;
    } else {
        ans.clear();
        for(auto &[u, v, id] : edge_id) {
            if(g.e[id].c == 0) {
                ans.emplace_back(u, v);
            }
        }
        return true;
    }
}

int main() {
    std::ios::sync_with_stdio(false);
    std::cin.tie(nullptr);

    int n, A, B;
    cin >> n >> A >> B;
    players.resize(n);
    ropes.resize(n);
    for(auto &[x, y] : players) {
        cin >> x >> y;
    }
    for(auto &[x, y] : ropes) {
        cin >> x >> y;
    }
    std::vector<std::pair<int, int>> match;
    int l = 0, r = A + B;
    while(l < r) {
        int mid = (l + r) >> 1;
        if(check(mid, match)) {
            r = mid;
        } else {
            l = mid + 1;
        }
    }
    cout << l << std::endl;
    std::vector<std::string> moves(n);
    auto pp = players;
    std::mt19937 eng(std::random_device{}());
    for(int _=0; _<l; _++){
        std::vector vis(A+1, std::vector<bool>(B+1, false));
        auto ppp = pp;
        bool fl = true;
        for(auto[u, v] : match) {
            auto&[x, y] = ppp[u];
            auto[a, b] = ropes[v];
            auto c = std::abs(x-a) + std::abs(y-b);

            if(x == a && y == b){
                moves[u] += 'P';
                continue;
            }

            bool ok = true;
            auto UU = [&](){
                if(x > 1)
                if(!vis[x-1][y]) {
                    moves[u] += 'U';
                    x--;
                    ok = false;
                }
            };
            auto LL = [&](){
                if(y > 1)
                if(!vis[x][y-1]) {
                    moves[u] += 'L';
                    y--;
                    ok = false;
                }
            };
            auto DD = [&](){
                if(x < A)
                if(!vis[x+1][y]) {
                    moves[u] += 'D';
                    x++;
                    ok = false;
                }
            };
            auto RR = [&](){
                if(y < B)
                if(!vis[x][y+1]) {
                    moves[u] += 'R';
                    y++;
                    ok = false;
                }
            };
            if(x > a) if(ok) UU();
            if(y > b) if(ok) LL();
            if(x < a) if(ok) DD();
            if(y < b) if(ok) RR();
            
            if(c+_+1<l){
                if(ok) UU();
                if(ok) LL();
                if(ok) DD();
                if(ok) RR();
            }

            if(ok){
                if(x != a || y != b){
                    moves[u] += 'S';
                    if(vis[x][y]) fl = false;
                    if(c+_>=l) fl = false;
                }else{
                    moves[u] += 'P';
                }
                ok = false;
            }

            vis[x][y] = true;
        }
        if(!fl){
            _--;
            for(int j=0; j<n; j++) moves[j].pop_back();
            std::shuffle(match.begin(), match.end(), eng);
            continue;
        }
        swap(ppp, pp);
    }
    for(auto[u, v] : match) {
        auto[x, y] = players[u];
        auto[a, b] = ropes[v];
        std::cout << x << ' ' << y << ' '
        << a << ' ' << b << ' ' << moves[u] << '\n';
    }
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3644kb

input:

3 4 4
1 1
1 4
4 4
1 3
2 3
2 4

output:

2
1 1 1 3 RR
1 4 2 3 LD
4 4 2 4 UU

result:

ok answer 2

Test #2:

score: 0
Accepted
time: 0ms
memory: 3668kb

input:

3 2 2
1 1
1 2
2 2
1 1
2 1
2 2

output:

1
1 1 2 1 D
1 2 1 1 L
2 2 2 2 P

result:

ok answer 1

Test #3:

score: 0
Accepted
time: 0ms
memory: 3736kb

input:

2 3 3
1 1
1 3
1 2
2 2

output:

2
1 1 1 2 RP
1 3 2 2 DL

result:

ok answer 2

Test #4:

score: 0
Accepted
time: 0ms
memory: 3652kb

input:

2 10 10
2 9
3 8
10 5
10 10

output:

10
2 9 10 10 DDDDDDDDRP
3 8 10 5 LLLDDDDDDD

result:

ok answer 10

Test #5:

score: 0
Accepted
time: 0ms
memory: 3668kb

input:

6 10 10
4 9
4 2
3 6
10 1
10 10
4 1
6 8
5 10
6 3
5 1
2 9
3 2

output:

5
4 9 6 8 LDDPP
4 2 6 3 DDRPP
3 6 2 9 URRRP
10 1 5 1 UUUUU
10 10 5 10 UUUUU
4 1 3 2 URPPP

result:

ok answer 5

Test #6:

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

input:

8 10 10
5 1
6 8
6 3
6 4
3 10
9 5
6 7
4 1
3 8
7 3
1 2
8 6
5 8
7 6
9 4
4 1

output:

4
5 1 4 1 UPPP
6 8 5 8 UPPP
6 3 7 3 DPPP
6 4 8 6 DDRR
3 10 3 8 LLPP
9 5 9 4 LPPP
6 7 7 6 LDPP
4 1 1 2 UUUR

result:

ok answer 4

Test #7:

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

input:

1 10 10
8 3
8 4

output:

1
8 3 8 4 R

result:

ok answer 1

Test #8:

score: 0
Accepted
time: 0ms
memory: 3732kb

input:

1 10 10
10 1
6 6

output:

9
10 1 6 6 UUUURRRRR

result:

ok answer 9

Test #9:

score: 0
Accepted
time: 0ms
memory: 3544kb

input:

8 10 10
7 8
4 6
10 9
4 7
4 3
10 6
3 3
2 7
3 7
2 10
3 8
1 9
6 1
3 10
10 2
6 4

output:

7
7 8 3 10 UUUURRP
4 6 3 8 URRPPPP
10 9 10 2 LLLLLLL
4 7 2 10 UURRRPP
4 3 6 1 LLDDPPP
10 6 6 4 UUUULLP
3 3 3 7 RRRRPPP
2 7 1 9 URRPPPP

result:

ok answer 7

Test #10:

score: 0
Accepted
time: 0ms
memory: 3592kb

input:

1 10 10
10 3
2 6

output:

11
10 3 2 6 UUUUUUUURRR

result:

ok answer 11

Test #11:

score: 0
Accepted
time: 0ms
memory: 3588kb

input:

3 10 10
7 8
4 4
3 1
7 10
6 7
2 4

output:

5
7 8 7 10 RRPPP
4 4 6 7 DDRRR
3 1 2 4 URRRP

result:

ok answer 5

Test #12:

score: 0
Accepted
time: 0ms
memory: 3604kb

input:

9 10 10
6 4
1 7
2 1
5 6
10 8
3 5
9 9
9 2
4 9
5 3
3 2
6 9
2 2
9 4
7 8
2 8
1 1
4 8

output:

5
6 4 3 2 UUULL
1 7 2 8 DRPPP
2 1 1 1 UPPPP
5 6 5 3 LLLPP
10 8 7 8 UUUPP
3 5 2 2 ULLLP
9 9 6 9 UUUPP
9 2 9 4 RRPPP
4 9 4 8 LPPPP

result:

ok answer 5

Test #13:

score: 0
Accepted
time: 0ms
memory: 3544kb

input:

2 10 10
9 8
3 3
5 8
4 9

output:

7
9 8 5 8 UUUUPPP
3 3 4 9 DRRRRRR

result:

ok answer 7

Test #14:

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

input:

8 10 10
10 5
8 4
2 8
2 4
10 8
6 6
1 7
10 1
8 6
10 5
10 2
5 9
8 10
10 4
3 9
4 2

output:

4
10 5 10 5 PPPP
8 4 10 4 DDPP
2 8 5 9 DDDR
2 4 4 2 LLDD
10 8 8 10 UURR
6 6 8 6 DDPP
1 7 3 9 DDRR
10 1 10 2 RPPP

result:

ok answer 4

Test #15:

score: 0
Accepted
time: 0ms
memory: 3876kb

input:

1 10 10
1 9
2 10

output:

2
1 9 2 10 DR

result:

ok answer 2

Test #16:

score: 0
Accepted
time: 1ms
memory: 3548kb

input:

8 10 10
5 10
3 8
2 8
3 5
4 2
8 2
7 9
3 4
8 9
9 6
3 6
10 2
4 10
10 6
6 5
5 5

output:

6
5 10 8 9 LDDDPP
3 8 4 10 DRRPPP
2 8 3 6 LLDPPP
3 5 5 5 DDPPPP
4 2 10 2 DDDDDD
8 2 10 6 DDRRRR
7 9 9 6 LLLDDP
3 4 6 5 DDDRPP

result:

ok answer 6

Test #17:

score: 0
Accepted
time: 0ms
memory: 3544kb

input:

1 10 10
8 6
1 8

output:

9
8 6 1 8 UUUUUUURR

result:

ok answer 9

Test #18:

score: 0
Accepted
time: 0ms
memory: 3884kb

input:

10 10 10
7 10
4 4
9 10
5 7
10 7
4 1
1 5
6 7
6 4
5 3
5 7
1 9
1 6
8 3
5 1
10 8
2 6
4 2
3 10
3 1

output:

5
7 10 3 10 UUUUP
4 4 4 2 LLPPP
9 10 10 8 LLDPP
5 7 1 6 UUUUL
10 7 5 7 UUUUU
4 1 3 1 UPPPP
1 5 1 9 RRRRP
6 7 2 6 UUUUL
6 4 8 3 LDDPP
5 3 5 1 LLPPP

result:

ok answer 5

Test #19:

score: 0
Accepted
time: 1ms
memory: 3748kb

input:

7 10 10
4 5
1 5
6 5
9 6
5 5
9 3
1 10
10 6
6 2
5 1
2 7
8 1
7 10
6 3

output:

6
4 5 5 1 LLLLDP
1 5 2 7 DRRPPP
6 5 6 3 LLPPPP
9 6 10 6 DPPPPP
5 5 6 2 LLLDPP
9 3 8 1 ULLPPP
1 10 7 10 DDDDDD

result:

ok answer 6

Test #20:

score: 0
Accepted
time: 0ms
memory: 3596kb

input:

6 10 10
9 7
4 1
9 1
7 9
2 6
9 5
5 1
4 1
2 10
4 10
3 1
1 7

output:

8
9 7 4 10 UUUUURRR
4 1 4 1 PPPPPPPP
9 1 3 1 UUUUUUPP
7 9 2 10 UUUUURPP
2 6 1 7 URPPPPPP
9 5 5 1 UUUULLLL

result:

ok answer 8

Test #21:

score: 0
Accepted
time: 0ms
memory: 3816kb

input:

10 10 10
7 7
8 6
10 3
6 2
10 8
1 10
9 5
1 2
8 3
10 9
8 9
8 10
6 4
7 8
4 3
3 5
3 9
6 1
8 7
10 2

output:

5
7 7 7 8 RPPPP
8 6 8 7 RPPPP
10 3 10 2 LPPPP
6 2 6 1 LPPPP
10 8 8 9 UURPP
1 10 3 9 LDDPP
9 5 6 4 UUULP
1 2 3 5 DDRRR
8 3 4 3 UUUUP
10 9 8 10 UURPP

result:

ok answer 5

Test #22:

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

input:

10 10 10
2 9
1 2
3 9
6 9
3 3
9 2
2 4
5 8
1 6
4 9
1 10
6 10
3 6
2 5
4 2
7 3
10 2
9 1
2 9
5 8

output:

8
2 9 2 9 PPPPPPPP
1 2 4 2 DDDPPPPP
3 9 1 10 UURPPPPP
6 9 6 10 RPPPPPPP
3 3 9 1 LLDDDDDD
9 2 10 2 DPPPPPPP
2 4 7 3 LDDDDDPP
5 8 5 8 PPPPPPPP
1 6 2 5 LDPPPPPP
4 9 3 6 ULLLPPPP

result:

ok answer 8

Test #23:

score: 0
Accepted
time: 0ms
memory: 3740kb

input:

10 10 10
10 6
9 2
7 7
7 3
6 8
5 4
2 10
1 1
5 9
4 6
5 1
9 9
9 1
7 6
3 2
4 8
7 7
9 7
3 1
6 10

output:

4
10 6 9 7 URPP
9 2 9 1 LPPP
7 7 7 7 PPPP
7 3 5 1 UULL
6 8 9 9 DDDR
5 4 3 2 UULL
2 10 4 8 LLDD
1 1 3 1 DDPP
5 9 6 10 DRPP
4 6 7 6 DDDP

result:

ok answer 4

Test #24:

score: 0
Accepted
time: 1ms
memory: 3608kb

input:

10 1 100
1 17
1 49
1 12
1 37
1 83
1 44
1 75
1 78
1 72
1 3
1 75
1 47
1 55
1 81
1 6
1 59
1 17
1 68
1 28
1 24

output:

13
1 17 1 17 PPPPPPPPPPPPP
1 49 1 55 RRRRRRPPPPPPP
1 12 1 24 RRRRRRRRRRRRP
1 37 1 28 LLLLLLLLLPPPP
1 83 1 81 LLPPPPPPPPPPP
1 44 1 47 RRRPPPPPPPPPP
1 75 1 75 PPPPPPPPPPPPP
1 78 1 68 LLLLLLLLLLPPP
1 72 1 59 LLLLLLLLLLLLL
1 3 1 6 RRRPPPPPPPPPP

result:

ok answer 13

Test #25:

score: 0
Accepted
time: 1ms
memory: 3572kb

input:

10 1 100
1 43
1 75
1 59
1 42
1 26
1 33
1 88
1 7
1 24
1 95
1 68
1 31
1 39
1 74
1 66
1 67
1 28
1 70
1 86
1 58

output:

25
1 43 1 68 RRRRRRRRRRRRRRRRRRRRRRRRR
1 75 1 74 LPPPPPPPPPPPPPPPPPPPPPPPP
1 59 1 66 RRRRRRRPPPPPPPPPPPPPPPPPP
1 42 1 67 RRRRRRRRRRRRRRRRRRRRRRRRR
1 26 1 28 RRPPPPPPPPPPPPPPPPPPPPPPP
1 33 1 58 RRRRRRRRRRRRRRRRRRRRRRRRR
1 88 1 86 LLPPPPPPPPPPPPPPPPPPPPPPP
1 7 1 31 RRRRRRRRRRRRRRRRRRRRRRRRP
1 24 1 39 ...

result:

ok answer 25

Test #26:

score: 0
Accepted
time: 0ms
memory: 3668kb

input:

10 1 100
1 88
1 38
1 43
1 99
1 63
1 24
1 44
1 31
1 47
1 52
1 6
1 14
1 55
1 15
1 82
1 57
1 73
1 74
1 97
1 51

output:

23
1 88 1 82 LLLLLLPPPPPPPPPPPPPPPPP
1 38 1 15 LLLLLLLLLLLLLLLLLLLLLLL
1 43 1 55 RRRRRRRRRRRRPPPPPPPPPPP
1 99 1 97 LLPPPPPPPPPPPPPPPPPPPPP
1 63 1 73 RRRRRRRRRRPPPPPPPPPPPPP
1 24 1 6 LLLLLLLLLLLLLLLLLLPPPPP
1 44 1 57 RRRRRRRRRRRRRPPPPPPPPPP
1 31 1 14 LLLLLLLLLLLLLLLLLPPPPPP
1 47 1 51 RRRRPPPPPPPPPPPP...

result:

ok answer 23

Test #27:

score: 0
Accepted
time: 0ms
memory: 3536kb

input:

10 100 1
6 1
96 1
41 1
76 1
97 1
72 1
94 1
82 1
23 1
40 1
31 1
33 1
84 1
77 1
41 1
24 1
39 1
68 1
8 1
82 1

output:

35
6 1 8 1 DDPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
96 1 77 1 UUUUUUUUUUUUUUUUUUUPPPPPPPPPPPPPPPP
41 1 33 1 UUUUUUUUPPPPPPPPPPPPPPPPPPPPPPPPPPP
76 1 41 1 UUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUU
97 1 68 1 UUUUUUUUUUUUUUUUUUUUUUUUUUUUUPPPPPP
72 1 39 1 UUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUPP
94 1 84 1 UUUUUUUUUUPPP...

result:

ok answer 35

Test #28:

score: 0
Accepted
time: 1ms
memory: 3680kb

input:

10 100 1
19 1
23 1
29 1
11 1
44 1
87 1
68 1
56 1
35 1
34 1
34 1
63 1
40 1
90 1
8 1
69 1
81 1
41 1
18 1
82 1

output:

28
19 1 18 1 UPPPPPPPPPPPPPPPPPPPPPPPPPPP
23 1 40 1 DDDDDDDDDDDDDDDDDPPPPPPPPPPP
29 1 41 1 DDDDDDDDDDDDPPPPPPPPPPPPPPPP
11 1 8 1 UUUPPPPPPPPPPPPPPPPPPPPPPPPP
44 1 69 1 DDDDDDDDDDDDDDDDDDDDDDDDDPPP
87 1 90 1 DDDPPPPPPPPPPPPPPPPPPPPPPPPP
68 1 82 1 DDDDDDDDDDDDDDPPPPPPPPPPPPPP
56 1 81 1 DDDDDDDDDDDDDDD...

result:

ok answer 28

Test #29:

score: 0
Accepted
time: 1ms
memory: 3656kb

input:

10 100 1
42 1
4 1
64 1
31 1
92 1
45 1
60 1
24 1
8 1
35 1
57 1
70 1
42 1
17 1
72 1
51 1
56 1
87 1
52 1
88 1

output:

34
42 1 70 1 DDDDDDDDDDDDDDDDDDDDDDDDDDDDPPPPPP
4 1 17 1 DDDDDDDDDDDDDPPPPPPPPPPPPPPPPPPPPP
64 1 87 1 DDDDDDDDDDDDDDDDDDDDDDDPPPPPPPPPPP
31 1 56 1 DDDDDDDDDDDDDDDDDDDDDDDDDPPPPPPPPP
92 1 88 1 UUUUPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
45 1 51 1 DDDDDDPPPPPPPPPPPPPPPPPPPPPPPPPPPP
60 1 72 1 DDDDDDDDDDDDPPPPPP...

result:

ok answer 34

Test #30:

score: 0
Accepted
time: 5ms
memory: 3728kb

input:

50 10 10
1 1
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
1 10
2 1
2 2
2 3
2 4
2 5
2 6
2 7
2 8
2 9
2 10
3 1
3 2
3 3
3 4
3 5
3 6
3 7
3 8
3 9
3 10
4 1
4 2
4 3
4 4
4 5
4 6
4 7
4 8
4 9
4 10
5 1
5 2
5 3
5 4
5 5
5 6
5 7
5 8
5 9
5 10
6 1
6 2
6 3
6 4
6 5
6 6
6 7
6 8
6 9
6 10
7 1
7 2
7 3
7 4
7 5
7 6
7 7
7 8
7 9
7 10
8 1
...

output:

5
1 1 6 1 DDDDD
1 2 6 2 DDDDD
1 3 6 3 DDDDD
1 4 6 4 DDDDD
1 5 6 5 DDDDD
1 6 6 6 DDDDD
1 7 6 7 DDDDD
1 8 6 8 DDDDD
1 9 6 9 DDDDD
1 10 6 10 DDDDD
2 1 7 1 DDDDD
2 2 7 2 DDDDD
2 3 7 3 DDDDD
2 4 7 4 DDDDD
2 5 7 5 DDDDD
2 6 7 6 DDDDD
2 7 7 7 DDDDD
2 8 7 8 DDDDD
2 9 7 9 DDDDD
2 10 7 10 DDDDD
3 1 8 1 DDDDD
...

result:

ok answer 5

Test #31:

score: 0
Accepted
time: 0ms
memory: 3804kb

input:

1 1 2
1 1
1 2

output:

1
1 1 1 2 R

result:

ok answer 1

Test #32:

score: 0
Accepted
time: 0ms
memory: 3812kb

input:

1 1 100
1 1
1 100

output:

99
1 1 1 100 RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR

result:

ok answer 99

Test #33:

score: 0
Accepted
time: 0ms
memory: 3804kb

input:

2 2 50
1 1
2 50
1 50
2 1

output:

1
1 1 2 1 D
2 50 1 50 U

result:

ok answer 1

Test #34:

score: 0
Accepted
time: 0ms
memory: 3592kb

input:

2 1 100
1 23
1 54
1 67
1 26

output:

13
1 23 1 26 RRRPPPPPPPPPP
1 54 1 67 RRRRRRRRRRRRR

result:

ok answer 13

Test #35:

score: 0
Accepted
time: 0ms
memory: 3672kb

input:

2 2 50
1 21
1 41
2 36
1 11

output:

10
1 21 1 11 LLLLLLLLLL
1 41 2 36 LLLLLDPPPP

result:

ok answer 10

Test #36:

score: 0
Accepted
time: 0ms
memory: 3664kb

input:

2 3 33
3 17
2 13
1 23
1 24

output:

11
3 17 1 24 UURRRRRRRPP
2 13 1 23 URRRRRRRRRR

result:

ok answer 11

Test #37:

score: 0
Accepted
time: 0ms
memory: 3812kb

input:

2 4 25
3 15
2 22
1 22
1 11

output:

6
3 15 1 11 UULLLL
2 22 1 22 UPPPPP

result:

ok answer 6

Test #38:

score: 0
Accepted
time: 0ms
memory: 3572kb

input:

2 5 20
2 18
5 2
5 7
3 8

output:

11
2 18 3 8 LLLLLLLLLLD
5 2 5 7 RRRRRPPPPPP

result:

ok answer 11

Test #39:

score: 0
Accepted
time: 0ms
memory: 3796kb

input:

2 6 16
5 12
6 4
1 11
5 15

output:

12
5 12 5 15 RRRPPPPPPPPP
6 4 1 11 UUUUURRRRRRR

result:

ok answer 12

Test #40:

score: 0
Accepted
time: 0ms
memory: 3672kb

input:

2 7 14
3 14
7 1
1 12
6 4

output:

4
3 14 1 12 UULL
7 1 6 4 URRR

result:

ok answer 4

Test #41:

score: 0
Accepted
time: 0ms
memory: 3668kb

input:

2 8 12
8 4
1 4
5 12
2 6

output:

11
8 4 5 12 UUURRRRRRRR
1 4 2 6 DRRPPPPPPPP

result:

ok answer 11

Test #42:

score: 0
Accepted
time: 0ms
memory: 3664kb

input:

2 9 11
1 7
3 4
4 3
7 6

output:

7
1 7 7 6 LDDDDDD
3 4 4 3 LDPPPPP

result:

ok answer 7

Test #43:

score: 0
Accepted
time: 0ms
memory: 3588kb

input:

2 10 10
4 5
10 7
4 2
2 10

output:

11
4 5 4 2 LLLPPPPPPPP
10 7 2 10 UUUUUUUURRR

result:

ok answer 11

Test #44:

score: 0
Accepted
time: 0ms
memory: 3824kb

input:

5 100 1
94 1
75 1
91 1
13 1
65 1
76 1
89 1
86 1
92 1
19 1

output:

11
94 1 92 1 UUPPPPPPPPP
75 1 86 1 DDDDDDDDDDD
91 1 89 1 UUPPPPPPPPP
13 1 19 1 DDDDDDPPPPP
65 1 76 1 DDDDDDDDDDD

result:

ok answer 11

Test #45:

score: 0
Accepted
time: 0ms
memory: 3740kb

input:

5 50 2
33 1
12 2
39 1
36 1
19 2
6 1
41 2
32 2
34 2
9 2

output:

10
33 1 32 2 URPPPPPPPP
12 2 6 1 UUUUUULPPP
39 1 41 2 DDRPPPPPPP
36 1 34 2 UURPPPPPPP
19 2 9 2 UUUUUUUUUU

result:

ok answer 10

Test #46:

score: 0
Accepted
time: 0ms
memory: 3664kb

input:

5 33 3
33 3
4 1
23 1
23 3
27 1
32 2
4 1
20 2
21 3
28 1

output:

4
33 3 32 2 ULPP
4 1 4 1 PPPP
23 1 20 2 UUUR
23 3 21 3 UUPP
27 1 28 1 DPPP

result:

ok answer 4

Test #47:

score: 0
Accepted
time: 0ms
memory: 3672kb

input:

5 25 4
23 3
22 3
9 4
18 3
1 3
23 4
9 2
7 3
19 3
13 2

output:

6
23 3 23 4 RPPPPP
22 3 19 3 UUUPPP
9 4 9 2 LLPPPP
18 3 13 2 UUUUUL
1 3 7 3 DDDDDD

result:

ok answer 6

Test #48:

score: 0
Accepted
time: 0ms
memory: 3656kb

input:

5 20 5
11 5
15 3
16 5
12 2
15 2
20 2
8 2
19 1
3 2
15 5

output:

9
11 5 8 2 UUULLLPPP
15 3 20 2 LDDDDDPPP
16 5 15 5 UPPPPPPPP
12 2 3 2 UUUUUUUUU
15 2 19 1 LDDDDPPPP

result:

ok answer 9

Test #49:

score: 0
Accepted
time: 0ms
memory: 3592kb

input:

5 16 6
13 2
5 2
2 6
16 2
3 4
3 4
2 3
14 2
1 4
1 2

output:

12
13 2 2 3 UUUUUUUUUUUR
5 2 1 2 UUUUPPPPPPPP
2 6 1 4 ULLPPPPPPPPP
16 2 14 2 UUPPPPPPPPPP
3 4 3 4 PPPPPPPPPPPP

result:

ok answer 12

Test #50:

score: 0
Accepted
time: 0ms
memory: 3664kb

input:

5 14 7
4 3
1 1
3 3
3 4
13 7
3 3
8 3
12 7
1 5
2 7

output:

4
4 3 8 3 DDDD
1 1 1 5 RRRR
3 3 3 3 PPPP
3 4 2 7 URRR
13 7 12 7 UPPP

result:

ok answer 4

Test #51:

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

input:

5 12 8
12 7
11 8
1 7
4 8
11 4
7 6
5 8
6 3
10 4
2 1

output:

7
12 7 10 4 UULLLPP
11 8 7 6 UUUULLP
1 7 2 1 LLLLLLD
4 8 5 8 DPPPPPP
11 4 6 3 UUUUULP

result:

ok answer 7

Test #52:

score: 0
Accepted
time: 0ms
memory: 3816kb

input:

5 11 9
3 3
1 1
10 6
1 4
10 4
7 3
2 6
4 5
6 7
1 4

output:

5
3 3 4 5 DRRPP
1 1 1 4 RRRPP
10 6 6 7 UUUUR
1 4 2 6 DRRPP
10 4 7 3 UUULP

result:

ok answer 5

Test #53:

score: 0
Accepted
time: 0ms
memory: 3652kb

input:

5 10 10
2 2
1 3
9 9
7 4
6 5
9 5
6 5
10 6
2 5
1 10

output:

7
2 2 2 5 RRRPPPP
1 3 1 10 RRRRRRR
9 9 10 6 LLLDPPP
7 4 9 5 DDRPPPP
6 5 6 5 PPPPPPP

result:

ok answer 7

Test #54:

score: 0
Accepted
time: 1ms
memory: 3676kb

input:

10 1 100
1 67
1 1
1 86
1 24
1 75
1 82
1 55
1 84
1 26
1 40
1 4
1 62
1 73
1 77
1 5
1 14
1 42
1 98
1 48
1 38

output:

19
1 67 1 48 LLLLLLLLLLLLLLLLLLL
1 1 1 4 RRRPPPPPPPPPPPPPPPP
1 86 1 98 RRRRRRRRRRRRPPPPPPP
1 24 1 5 LLLLLLLLLLLLLLLLLLL
1 75 1 62 LLLLLLLLLLLLLPPPPPP
1 82 1 77 LLLLLPPPPPPPPPPPPPP
1 55 1 42 LLLLLLLLLLLLLPPPPPP
1 84 1 73 LLLLLLLLLLLPPPPPPPP
1 26 1 14 LLLLLLLLLLLLPPPPPPP
1 40 1 38 LLPPPPPPPPPPPPPPPPP

result:

ok answer 19

Test #55:

score: 0
Accepted
time: 1ms
memory: 3812kb

input:

10 2 50
2 47
1 48
1 33
1 22
1 10
2 5
1 49
1 11
2 11
1 47
2 48
2 42
1 48
2 17
1 23
1 12
2 23
1 6
2 29
1 32

output:

15
2 47 2 42 LLLLLPPPPPPPPPP
1 48 1 48 PPPPPPPPPPPPPPP
1 33 2 29 LLLLDPPPPPPPPPP
1 22 1 23 RPPPPPPPPPPPPPP
1 10 2 23 DRRRRRRRRRRRRRP
2 5 1 6 URPPPPPPPPPPPPP
1 49 2 48 LDPPPPPPPPPPPPP
1 11 1 12 RPPPPPPPPPPPPPP
2 11 2 17 RRRRRRPPPPPPPPP
1 47 1 32 LLLLLLLLLLLLLLL

result:

ok answer 15

Test #56:

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

input:

10 3 33
1 16
1 4
1 30
2 8
1 8
2 16
3 33
2 12
2 20
1 15
2 10
3 10
3 28
3 33
1 18
2 11
3 9
2 2
2 6
3 31

output:

9
1 16 1 18 RRPPPPPPP
1 4 2 2 LLDPPPPPP
1 30 3 31 DDRPPPPPP
2 8 3 9 DRPPPPPPP
1 8 2 6 LLDPPPPPP
2 16 3 10 LLLLLLDPP
3 33 3 33 PPPPPPPPP
2 12 2 11 LPPPPPPPP
2 20 3 28 DRRRRRRRR
1 15 2 10 LLLLLLDRP

result:

ok answer 9

Test #57:

score: 0
Accepted
time: 0ms
memory: 3808kb

input:

10 4 25
4 13
2 1
1 6
2 2
2 15
3 12
3 19
4 18
4 23
4 10
3 3
4 4
2 13
2 6
2 18
2 4
1 22
3 7
4 15
1 24

output:

6
4 13 4 15 RRPPPP
2 1 3 3 DRRPPP
1 6 2 6 DPPPPP
2 2 2 4 RRPPPP
2 15 2 13 LLPPPP
3 12 3 7 LLLLLP
3 19 1 22 UURRRP
4 18 2 18 UUPPPP
4 23 1 24 UUURPP
4 10 4 4 LLLLLL

result:

ok answer 6

Test #58:

score: 0
Accepted
time: 0ms
memory: 3636kb

input:

10 5 20
3 4
2 18
4 11
3 16
5 13
5 20
1 7
5 4
3 14
2 1
1 9
2 11
3 7
1 12
2 6
5 8
1 20
4 2
3 17
3 1

output:

6
3 4 2 6 URRPPP
2 18 3 17 LDPPPP
4 11 1 9 UUULLP
3 16 1 12 UULLLL
5 13 5 8 LLLLLP
5 20 1 20 UUUUPP
1 7 3 7 DDPPPP
5 4 4 2 ULLPPP
3 14 2 11 ULLLPP
2 1 3 1 DPPPPP

result:

ok answer 6

Test #59:

score: 0
Accepted
time: 1ms
memory: 3624kb

input:

10 6 16
6 15
6 10
4 13
5 10
2 7
2 16
1 11
5 9
2 1
1 1
4 6
4 2
2 2
6 3
2 16
2 14
4 14
2 9
2 11
2 4

output:

7
6 15 4 14 UULPPPP
6 10 6 3 LLLLLLL
4 13 2 14 UURPPPP
5 10 2 9 UUULPPP
2 7 2 4 LLLPPPP
2 16 2 16 PPPPPPP
1 11 2 11 DPPPPPP
5 9 4 6 ULLLPPP
2 1 4 2 DDRPPPP
1 1 2 2 DRPPPPP

result:

ok answer 7

Test #60:

score: 0
Accepted
time: 1ms
memory: 3624kb

input:

10 7 14
7 4
4 10
4 8
6 12
2 13
1 5
4 1
2 9
5 4
6 14
6 11
3 7
7 5
3 9
2 4
7 1
3 12
6 13
2 7
4 5

output:

3
7 4 7 5 RPP
4 10 3 9 ULP
4 8 3 7 ULP
6 12 6 11 LPP
2 13 3 12 LDP
1 5 2 4 LDP
4 1 7 1 DDD
2 9 2 7 LLP
5 4 4 5 URP
6 14 6 13 LPP

result:

ok answer 3

Test #61:

score: 0
Accepted
time: 1ms
memory: 3596kb

input:

10 8 12
1 12
5 2
5 1
4 4
8 10
3 11
5 10
1 11
7 4
8 2
2 8
3 7
8 4
4 11
5 8
7 11
1 12
6 4
7 7
7 1

output:

4
1 12 1 12 PPPP
5 2 6 4 DRRP
5 1 7 1 DDPP
4 4 3 7 URRR
8 10 7 11 URPP
3 11 4 11 DPPP
5 10 5 8 LLPP
1 11 2 8 LLLD
7 4 7 7 RRRP
8 2 8 4 RRPP

result:

ok answer 4

Test #62:

score: 0
Accepted
time: 0ms
memory: 3884kb

input:

10 9 11
5 4
4 4
9 10
5 6
8 11
3 9
3 1
2 7
9 6
6 3
6 8
8 8
2 9
5 9
7 4
7 7
4 5
9 7
4 7
2 7

output:

5
5 4 7 7 DDRRR
4 4 4 7 RRRPP
9 10 8 8 ULLPP
5 6 6 8 DRRPP
8 11 5 9 UUULL
3 9 2 9 UPPPP
3 1 4 5 DRRRR
2 7 2 7 PPPPP
9 6 9 7 RPPPP
6 3 7 4 DUDRP

result:

ok answer 5

Test #63:

score: 0
Accepted
time: 1ms
memory: 3672kb

input:

10 10 10
2 9
10 7
4 6
4 10
2 8
8 2
1 1
2 3
7 6
8 8
4 8
8 7
5 9
5 7
7 1
7 7
8 1
7 6
6 6
4 10

output:

7
2 9 5 9 DDDPPPP
10 7 8 7 UUPPPPP
4 6 5 7 DRPPPPP
4 10 4 10 PPPPPPP
2 8 4 8 DDPPPPP
8 2 8 1 LPPPPPP
1 1 7 1 DDDDDDP
2 3 6 6 DDDDRRR
7 6 7 6 PPPPPPP
8 8 7 7 ULPPPPP

result:

ok answer 7

Test #64:

score: 0
Accepted
time: 1ms
memory: 3632kb

input:

20 100 1
77 1
38 1
67 1
91 1
60 1
34 1
32 1
56 1
76 1
57 1
22 1
26 1
49 1
61 1
86 1
16 1
79 1
21 1
28 1
73 1
32 1
90 1
8 1
58 1
70 1
28 1
65 1
85 1
20 1
84 1
93 1
98 1
2 1
19 1
96 1
95 1
49 1
47 1
17 1
42 1

output:

17
77 1 85 1 DDDDDDDDPPPPPPPPP
38 1 42 1 DDDDPPPPPPPPPPPPP
67 1 84 1 DDDDDDDDDDDDDDDDD
91 1 98 1 DDDDDDDPPPPPPPPPP
60 1 70 1 DDDDDDDDDDPPPPPPP
34 1 20 1 UUUUUUUUUUUUUUPPP
32 1 32 1 PPPPPPPPPPPPPPPPP
56 1 47 1 UUUUUUUUUPPPPPPPP
76 1 93 1 DDDDDDDDDDDDDDDDD
57 1 58 1 DPPPPPPPPPPPPPPPP
22 1 19 1 UUUPPPP...

result:

ok answer 17

Test #65:

score: 0
Accepted
time: 1ms
memory: 3584kb

input:

20 50 2
8 1
23 2
17 2
46 1
38 1
47 1
33 1
45 2
24 1
16 1
18 1
44 1
25 1
13 1
40 1
15 1
45 1
32 1
27 1
26 1
5 1
38 1
16 1
15 2
19 2
16 2
47 2
27 2
37 1
8 1
28 2
21 2
26 1
8 2
14 2
19 1
10 1
22 2
29 2
10 2

output:

17
8 1 8 1 PPPPPPPPPPPPPPPPP
23 2 21 2 UUPPPPPPPPPPPPPPP
17 2 15 2 UUPPPPPPPPPPPPPPP
46 1 38 1 UUUUUUUUPPPPPPPPP
38 1 22 2 UUUUUUUUUUUUUUUUR
47 1 47 2 RPPPPPPPPPPPPPPPP
33 1 19 2 UUUUUUUUUUUUUURPP
45 2 29 2 UUUUUUUUUUUUUUUUP
24 1 19 1 UUUUUPPPPPPPPPPPP
16 1 16 1 PPPPPPPPPPPPPPPPP
18 1 8 2 UUUUUUUUUU...

result:

ok answer 17

Test #66:

score: 0
Accepted
time: 1ms
memory: 3664kb

input:

20 33 3
32 1
20 2
18 2
32 2
3 2
23 3
2 2
8 3
8 1
28 2
23 1
17 1
7 3
16 1
27 1
1 2
24 1
19 3
30 2
28 1
5 1
25 2
30 2
17 3
4 2
12 1
12 3
4 1
13 2
19 2
8 2
19 1
21 1
9 3
31 3
10 1
33 1
15 3
22 2
10 3

output:

7
32 1 33 1 DPPPPPP
20 2 13 2 UUUUUUU
18 2 12 3 UUUUUUR
32 2 31 3 URPPPPP
3 2 4 2 DPPPPPP
23 3 17 3 UUUUUUP
2 2 5 1 LDDDPPP
8 3 9 3 DPPPPPP
8 1 8 2 RPPPPPP
28 2 25 2 UUUPPPP
23 1 19 1 UUUUPPP
17 1 10 1 UUUUUUU
7 3 10 3 DDDPPPP
16 1 12 1 UUUUPPP
27 1 21 1 UUUUUUP
1 2 4 1 LDDDPPP
24 1 19 2 UUUUURP
19 ...

result:

ok answer 7

Test #67:

score: 0
Accepted
time: 1ms
memory: 3704kb

input:

20 25 4
23 2
8 2
24 3
12 2
11 4
13 3
13 1
23 3
2 2
20 2
10 4
17 1
24 2
25 2
2 1
6 1
3 4
5 2
9 3
10 1
21 4
10 3
9 2
21 1
23 4
25 1
2 4
20 4
12 2
8 2
3 2
16 1
22 2
16 3
24 4
7 3
20 1
19 2
9 3
19 3

output:

7
23 2 22 2 UPPPPPP
8 2 9 2 DPPPPPP
24 3 24 4 RPPPPPP
12 2 19 2 DDDDDDD
11 4 16 3 LDDDDDP
13 3 19 3 DDDDDDP
13 1 20 1 DDDDDDD
23 3 21 4 UURPPPP
2 2 3 2 DPPPPPP
20 2 21 1 LDPPPPP
10 4 10 3 LPPPPPP
17 1 20 4 DDDRRRP
24 2 23 4 URRPPPP
25 2 25 1 LPPPPPP
2 1 8 2 DDDDDDR
6 1 12 2 DDDDDDR
3 4 2 4 UPPPPPP
5...

result:

ok answer 7

Test #68:

score: 0
Accepted
time: 1ms
memory: 3772kb

input:

20 20 5
16 1
5 2
7 4
12 5
10 5
16 5
9 1
1 3
11 5
12 1
15 5
15 3
6 3
8 1
14 1
3 3
11 3
7 1
4 2
10 4
19 2
15 3
6 2
13 1
2 1
14 4
8 4
11 5
9 1
13 3
3 4
5 5
18 4
7 4
8 1
3 5
5 4
14 5
17 5
18 3

output:

4
16 1 19 2 DDDR
5 2 5 4 RRPP
7 4 7 4 PPPP
12 5 14 5 DDPP
10 5 11 5 DPPP
16 5 17 5 DPPP
9 1 9 1 PPPP
1 3 3 5 DDRR
11 5 14 4 LDDD
12 1 13 1 DPPP
15 5 18 4 LDDD
15 3 18 3 DDDP
6 3 5 5 RRUP
8 1 8 1 PPPP
14 1 15 3 DRRP
3 3 3 4 RPPP
11 3 13 3 DDPP
7 1 6 2 URPP
4 2 2 1 UULP
10 4 8 4 UUPP

result:

ok answer 4

Test #69:

score: -100
Time Limit Exceeded

input:

20 16 6
6 5
5 6
1 2
3 6
8 5
14 3
1 1
4 1
5 2
10 1
13 1
6 3
13 5
1 4
2 5
8 2
2 1
16 2
12 2
14 6
14 1
2 5
10 1
16 1
12 3
3 2
1 6
13 1
12 1
13 3
7 2
1 1
10 4
10 3
16 3
11 3
3 3
15 2
4 4
3 4

output:


result: