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Submission #949345

# Submission time Handle Problem Language Result Execution time Memory
949345 2024-03-19T06:41:21 Z UmairAhmadMirza Tug of War (BOI15_tug) C++17
71 / 100
 1080 ms 13764 KB 
#include <bits/stdc++.h>
using namespace std;
int const N=30005;
set<int> mem[2*N];
set<pair<int,int>> sz;
int L[2*N],R[2*N],S[2*N];
bool done[2*N];
bool dp[100000];
bool tmdp[100000];
bool check(vector<int> ds,int k,int s1,int s2){
  dp[0]=1;
  for(auto i:ds){
    for(int j=0;j<40005;j++)
      tmdp[j]=0;
    for(int j=0;j<40005;j++){
      if(dp[j]){
        tmdp[j+i]=1;
        tmdp[abs(j-i)]=1;
      }
    }
    for(int j=0;j<40005;j++)
      dp[j]=tmdp[j];
  }
  for(int i=0;i<=40005;i++)
    if(dp[i] && (abs((i+s1)-s2)<=k || abs((i+s2)-s1)<=k))
      return 1;
  return 0;
}
int main() 
{
  int n,k;
  cin>>n>>k;
  for(int i=1;i<=2*n;i++){
    int s,l,r;
    cin>>l>>r>>s;
    r+=n;
    mem[l].insert(i);
    mem[r].insert(i);
    L[i]=l;
    R[i]=r;
    S[i]=s;
  }
  for(int i=1;i<=2*n;i++)
    sz.insert({mem[i].size(),i});
  int sum1=0,sum2=0;
  while(sz.size()){
    auto p=*(sz.begin());
    int job=p.second;
    int cons=p.first;
    // cout<<job<<' '<<cons<<endl;
    if(cons==2)
      break;
    sz.erase(sz.begin());
    if(cons==0){
      cout<<"NO"<<endl;
      return 0;
    }
    else if(cons==1){
      int per=*(mem[job].begin());
      if(job<=n)
        sum1+=S[per];
      else
        sum2+=S[per];
      // cout<<per<<' '<<L[per]<<' '<<R[per]<<endl;
      sz.erase({mem[L[per]].size(),L[per]});
      sz.erase({mem[R[per]].size(),R[per]});
      mem[L[per]].erase(per);
      mem[R[per]].erase(per);
      if(done[L[per]]==0 && L[per]!=job)
        sz.insert({mem[L[per]].size(),L[per]});
      if(done[R[per]]==0 && R[per]!=job)
        sz.insert({mem[R[per]].size(),R[per]});
      done[job]=1;
    }
    else
      break;
  }
  
  //now all are with degree two.
  vector<int> ds;
  int temp=0;
  while(sz.size()){
    auto p=*(sz.begin());
    int job=p.second;
    int cons=p.first;
    // cout<<job<<' '<<cons<<endl;
    sz.erase(sz.begin());
    if(cons==2 && temp!=0){
      ds.push_back(abs(temp));
      temp=0;
    }
    int per=*(mem[job].begin());
    if(job<=n)
      temp+=S[per];
    else
      temp-=S[per];
      // cout<<per<<' '<<L[per]<<' '<<R[per]<<endl;
    sz.erase({mem[L[per]].size(),L[per]});
    sz.erase({mem[R[per]].size(),R[per]});
    mem[L[per]].erase(per);
    mem[R[per]].erase(per);
    if(done[L[per]]==0 && L[per]!=job)
      sz.insert({mem[L[per]].size(),L[per]});
    if(done[R[per]]==0 && R[per]!=job)
      sz.insert({mem[R[per]].size(),R[per]});
    done[job]=1;
  }
  if(temp!=0)
    ds.push_back(abs(temp));
  // make a sum <= k from ds;
  if(check(ds,k,sum1,sum2))
    cout<<"YES"<<endl;
  else
    cout<<"NO"<<endl;
  return 0;
}

Subtask #1
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3932 KB Output is correct
2 Correct 2 ms 3932 KB Output is correct
3 Correct 1 ms 3932 KB Output is correct
4 Correct 1 ms 3932 KB Output is correct
5 Correct 1 ms 3932 KB Output is correct
6 Correct 1 ms 3932 KB Output is correct
7 Correct 1 ms 3932 KB Output is correct
8 Correct 2 ms 4132 KB Output is correct
9 Correct 1 ms 3932 KB Output is correct
10 Correct 1 ms 4180 KB Output is correct
11 Correct 2 ms 3928 KB Output is correct
12 Correct 2 ms 3928 KB Output is correct
13 Correct 2 ms 4088 KB Output is correct
14 Correct 2 ms 3932 KB Output is correct
15 Correct 2 ms 3932 KB Output is correct
16 Correct 1 ms 3932 KB Output is correct
17 Correct 1 ms 3932 KB Output is correct
18 Correct 2 ms 3932 KB Output is correct
19 Correct 2 ms 3932 KB Output is correct
20 Correct 1 ms 3932 KB Output is correct
21 Correct 1 ms 3932 KB Output is correct
22 Correct 1 ms 3932 KB Output is correct
23 Correct 2 ms 3928 KB Output is correct
24 Correct 1 ms 3932 KB Output is correct
25 Correct 2 ms 3932 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3932 KB Output is correct
2 Correct 2 ms 3932 KB Output is correct
3 Correct 1 ms 3932 KB Output is correct
4 Correct 1 ms 3932 KB Output is correct
5 Correct 1 ms 3932 KB Output is correct
6 Correct 1 ms 3932 KB Output is correct
7 Correct 1 ms 3932 KB Output is correct
8 Correct 2 ms 4132 KB Output is correct
9 Correct 1 ms 3932 KB Output is correct
10 Correct 1 ms 4180 KB Output is correct
11 Correct 2 ms 3928 KB Output is correct
12 Correct 2 ms 3928 KB Output is correct
13 Correct 2 ms 4088 KB Output is correct
14 Correct 2 ms 3932 KB Output is correct
15 Correct 2 ms 3932 KB Output is correct
16 Correct 1 ms 3932 KB Output is correct
17 Correct 1 ms 3932 KB Output is correct
18 Correct 2 ms 3932 KB Output is correct
19 Correct 2 ms 3932 KB Output is correct
20 Correct 1 ms 3932 KB Output is correct
21 Correct 1 ms 3932 KB Output is correct
22 Correct 1 ms 3932 KB Output is correct
23 Correct 2 ms 3928 KB Output is correct
24 Correct 1 ms 3932 KB Output is correct
25 Correct 2 ms 3932 KB Output is correct
26 Correct 57 ms 4668 KB Output is correct
27 Correct 14 ms 4696 KB Output is correct
28 Correct 57 ms 4444 KB Output is correct
29 Correct 15 ms 4444 KB Output is correct
30 Correct 60 ms 4668 KB Output is correct
31 Correct 13 ms 4444 KB Output is correct
32 Correct 64 ms 4444 KB Output is correct
33 Correct 13 ms 4900 KB Output is correct
34 Correct 9 ms 4444 KB Output is correct
35 Correct 16 ms 4696 KB Output is correct
36 Correct 57 ms 4444 KB Output is correct
37 Correct 19 ms 4696 KB Output is correct
38 Correct 60 ms 4444 KB Output is correct
39 Correct 13 ms 4444 KB Output is correct
40 Correct 56 ms 4444 KB Output is correct
41 Correct 13 ms 4444 KB Output is correct
42 Correct 62 ms 4672 KB Output is correct
43 Correct 16 ms 4952 KB Output is correct
44 Correct 66 ms 4668 KB Output is correct
45 Correct 13 ms 4444 KB Output is correct
46 Correct 57 ms 4444 KB Output is correct
47 Correct 4 ms 4440 KB Output is correct
48 Correct 31 ms 4444 KB Output is correct
49 Correct 31 ms 4440 KB Output is correct
50 Correct 66 ms 4444 KB Output is correct
51 Correct 68 ms 4672 KB Output is correct

Subtask #3
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 6748 KB Output is correct
2 Correct 16 ms 6748 KB Output is correct
3 Correct 20 ms 6748 KB Output is correct
4 Correct 16 ms 6732 KB Output is correct
5 Correct 19 ms 6748 KB Output is correct
6 Correct 16 ms 6748 KB Output is correct
7 Correct 19 ms 6748 KB Output is correct
8 Correct 18 ms 6764 KB Output is correct
9 Correct 19 ms 6748 KB Output is correct
10 Correct 16 ms 6668 KB Output is correct
11 Correct 19 ms 6744 KB Output is correct
12 Correct 18 ms 6748 KB Output is correct
13 Correct 19 ms 6744 KB Output is correct
14 Correct 19 ms 6660 KB Output is correct
15 Correct 16 ms 6872 KB Output is correct
16 Correct 20 ms 6748 KB Output is correct
17 Correct 16 ms 6800 KB Output is correct
18 Correct 21 ms 6724 KB Output is correct
19 Correct 18 ms 7000 KB Output is correct
20 Correct 19 ms 6744 KB Output is correct
21 Correct 16 ms 6748 KB Output is correct
22 Correct 23 ms 6692 KB Output is correct

Subtask #4
0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3932 KB Output is correct
2 Correct 2 ms 3932 KB Output is correct
3 Correct 1 ms 3932 KB Output is correct
4 Correct 1 ms 3932 KB Output is correct
5 Correct 1 ms 3932 KB Output is correct
6 Correct 1 ms 3932 KB Output is correct
7 Correct 1 ms 3932 KB Output is correct
8 Correct 2 ms 4132 KB Output is correct
9 Correct 1 ms 3932 KB Output is correct
10 Correct 1 ms 4180 KB Output is correct
11 Correct 2 ms 3928 KB Output is correct
12 Correct 2 ms 3928 KB Output is correct
13 Correct 2 ms 4088 KB Output is correct
14 Correct 2 ms 3932 KB Output is correct
15 Correct 2 ms 3932 KB Output is correct
16 Correct 1 ms 3932 KB Output is correct
17 Correct 1 ms 3932 KB Output is correct
18 Correct 2 ms 3932 KB Output is correct
19 Correct 2 ms 3932 KB Output is correct
20 Correct 1 ms 3932 KB Output is correct
21 Correct 1 ms 3932 KB Output is correct
22 Correct 1 ms 3932 KB Output is correct
23 Correct 2 ms 3928 KB Output is correct
24 Correct 1 ms 3932 KB Output is correct
25 Correct 2 ms 3932 KB Output is correct
26 Correct 57 ms 4668 KB Output is correct
27 Correct 14 ms 4696 KB Output is correct
28 Correct 57 ms 4444 KB Output is correct
29 Correct 15 ms 4444 KB Output is correct
30 Correct 60 ms 4668 KB Output is correct
31 Correct 13 ms 4444 KB Output is correct
32 Correct 64 ms 4444 KB Output is correct
33 Correct 13 ms 4900 KB Output is correct
34 Correct 9 ms 4444 KB Output is correct
35 Correct 16 ms 4696 KB Output is correct
36 Correct 57 ms 4444 KB Output is correct
37 Correct 19 ms 4696 KB Output is correct
38 Correct 60 ms 4444 KB Output is correct
39 Correct 13 ms 4444 KB Output is correct
40 Correct 56 ms 4444 KB Output is correct
41 Correct 13 ms 4444 KB Output is correct
42 Correct 62 ms 4672 KB Output is correct
43 Correct 16 ms 4952 KB Output is correct
44 Correct 66 ms 4668 KB Output is correct
45 Correct 13 ms 4444 KB Output is correct
46 Correct 57 ms 4444 KB Output is correct
47 Correct 4 ms 4440 KB Output is correct
48 Correct 31 ms 4444 KB Output is correct
49 Correct 31 ms 4440 KB Output is correct
50 Correct 66 ms 4444 KB Output is correct
51 Correct 68 ms 4672 KB Output is correct
52 Correct 20 ms 6748 KB Output is correct
53 Correct 16 ms 6748 KB Output is correct
54 Correct 20 ms 6748 KB Output is correct
55 Correct 16 ms 6732 KB Output is correct
56 Correct 19 ms 6748 KB Output is correct
57 Correct 16 ms 6748 KB Output is correct
58 Correct 19 ms 6748 KB Output is correct
59 Correct 18 ms 6764 KB Output is correct
60 Correct 19 ms 6748 KB Output is correct
61 Correct 16 ms 6668 KB Output is correct
62 Correct 19 ms 6744 KB Output is correct
63 Correct 18 ms 6748 KB Output is correct
64 Correct 19 ms 6744 KB Output is correct
65 Correct 19 ms 6660 KB Output is correct
66 Correct 16 ms 6872 KB Output is correct
67 Correct 20 ms 6748 KB Output is correct
68 Correct 16 ms 6800 KB Output is correct
69 Correct 21 ms 6724 KB Output is correct
70 Correct 18 ms 7000 KB Output is correct
71 Correct 19 ms 6744 KB Output is correct
72 Correct 16 ms 6748 KB Output is correct
73 Correct 23 ms 6692 KB Output is correct
74 Correct 1020 ms 12908 KB Output is correct
75 Correct 111 ms 13140 KB Output is correct
76 Correct 1027 ms 13568 KB Output is correct
77 Correct 110 ms 13284 KB Output is correct
78 Correct 1070 ms 13764 KB Output is correct
79 Correct 1026 ms 13648 KB Output is correct
80 Correct 111 ms 13140 KB Output is correct
81 Correct 115 ms 13288 KB Output is correct
82 Correct 1080 ms 13136 KB Output is correct
83 Correct 1030 ms 13564 KB Output is correct
84 Correct 117 ms 13124 KB Output is correct
85 Correct 1032 ms 13564 KB Output is correct
86 Correct 117 ms 13256 KB Output is correct
87 Correct 1018 ms 13560 KB Output is correct
88 Correct 111 ms 13284 KB Output is correct
89 Correct 1044 ms 13560 KB Output is correct
90 Correct 128 ms 13624 KB Output is correct
91 Correct 1029 ms 13568 KB Output is correct
92 Correct 117 ms 13136 KB Output is correct
93 Correct 1074 ms 13344 KB Output is correct
94 Correct 71 ms 13140 KB Output is correct
95 Incorrect 544 ms 13488 KB Output isn't correct
96 Halted 0 ms 0 KB -