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Submission #589759

# Submission time Handle Problem Language Result Execution time Memory
589759 2022-07-05T08:41:51 Z loctildore Tug of War (BOI15_tug) C++14
100 / 100
 2200 ms 10892 KB 
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define f first
#define s second
#define endl '\n'
#define all(x) begin(x), end(x)
int n,k,ori=600069;
int l[60069],r[60069],s[60069];
bool done[60069];
set<int> grph[60069];
bitset<600069*2> bst;
void check(int x) {
  if (done[x]) {
    return;
  }
  if (grph[x].size()==0) {
    cout<<"NO"<<endl;
    exit(0);
  }
  if (grph[x].size()!=1) {
    return;
  }
  done[x]=true;
  int i=*grph[x].begin();
  ori+=(x<n?-s[i]:s[i]);
  grph[l[i]].erase(i);
  grph[r[i]].erase(i);
  check(l[i]);
  check(r[i]);
}
int dfs(int x, int lst=-1) {
  if (done[x]) {
    return 0;
  }
  done[x]=true;
  for (auto i : grph[x]) {
    if (l[i]!=lst&&l[i]!=x) {
      return s[i]-dfs(l[i],x);
    }
    if (lst==l[i]) {
      lst=-1;
    }
    if (r[i]!=lst&&r[i]!=x) {
      return s[i]-dfs(r[i],x);
    }
    if (lst==r[i]) {
      lst=-1;
    }
  }
  return 0;
}
int main()
{
  ios_base::sync_with_stdio(false);
  cin.tie(nullptr);
  cin>>n>>k;
  for (int i = 0; i < 2*n; i++) {
    cin>>l[i]>>r[i]>>s[i];
    l[i]--;r[i]--;
    r[i]+=n;
    grph[l[i]].insert(i);
    grph[r[i]].insert(i);
  }
  for (int i = 0; i < 2*n; i++) {
    check(i);
  }
  bst[ori]=true;
  for (int i = 0; i < 2*n; i++) {
    if (done[i]) {
      continue;
    }
    int tmp=dfs(i);
    tmp=abs(tmp);
    bst=bst<<tmp;
    bst|=bst>>(2*tmp);
  }
  for (int i = 600069-k; i <= 600069+k; i++) {
    if (bst[i]) {
      cout<<"YES"<<endl;
      return 0;
    }
  }
  cout<<"NO"<<endl;
  return 0;
}

Subtask #1
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3540 KB Output is correct
2 Correct 2 ms 3540 KB Output is correct
3 Correct 2 ms 3540 KB Output is correct
4 Correct 2 ms 3540 KB Output is correct
5 Correct 3 ms 3540 KB Output is correct
6 Correct 2 ms 3540 KB Output is correct
7 Correct 3 ms 3540 KB Output is correct
8 Correct 3 ms 3540 KB Output is correct
9 Correct 3 ms 3540 KB Output is correct
10 Correct 4 ms 3540 KB Output is correct
11 Correct 3 ms 3540 KB Output is correct
12 Correct 3 ms 3540 KB Output is correct
13 Correct 3 ms 3540 KB Output is correct
14 Correct 2 ms 3540 KB Output is correct
15 Correct 3 ms 3540 KB Output is correct
16 Correct 2 ms 3540 KB Output is correct
17 Correct 3 ms 3540 KB Output is correct
18 Correct 3 ms 3540 KB Output is correct
19 Correct 3 ms 3540 KB Output is correct
20 Correct 3 ms 3540 KB Output is correct
21 Correct 2 ms 3412 KB Output is correct
22 Correct 3 ms 3540 KB Output is correct
23 Correct 2 ms 3540 KB Output is correct
24 Correct 2 ms 3540 KB Output is correct
25 Correct 3 ms 3540 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3540 KB Output is correct
2 Correct 2 ms 3540 KB Output is correct
3 Correct 2 ms 3540 KB Output is correct
4 Correct 2 ms 3540 KB Output is correct
5 Correct 3 ms 3540 KB Output is correct
6 Correct 2 ms 3540 KB Output is correct
7 Correct 3 ms 3540 KB Output is correct
8 Correct 3 ms 3540 KB Output is correct
9 Correct 3 ms 3540 KB Output is correct
10 Correct 4 ms 3540 KB Output is correct
11 Correct 3 ms 3540 KB Output is correct
12 Correct 3 ms 3540 KB Output is correct
13 Correct 3 ms 3540 KB Output is correct
14 Correct 2 ms 3540 KB Output is correct
15 Correct 3 ms 3540 KB Output is correct
16 Correct 2 ms 3540 KB Output is correct
17 Correct 3 ms 3540 KB Output is correct
18 Correct 3 ms 3540 KB Output is correct
19 Correct 3 ms 3540 KB Output is correct
20 Correct 3 ms 3540 KB Output is correct
21 Correct 2 ms 3412 KB Output is correct
22 Correct 3 ms 3540 KB Output is correct
23 Correct 2 ms 3540 KB Output is correct
24 Correct 2 ms 3540 KB Output is correct
25 Correct 3 ms 3540 KB Output is correct
26 Correct 137 ms 4000 KB Output is correct
27 Correct 30 ms 3924 KB Output is correct
28 Correct 144 ms 4000 KB Output is correct
29 Correct 20 ms 3924 KB Output is correct
30 Correct 153 ms 4012 KB Output is correct
31 Correct 21 ms 3924 KB Output is correct
32 Correct 132 ms 3924 KB Output is correct
33 Correct 21 ms 4024 KB Output is correct
34 Correct 19 ms 4012 KB Output is correct
35 Correct 26 ms 4016 KB Output is correct
36 Correct 139 ms 3924 KB Output is correct
37 Correct 24 ms 3924 KB Output is correct
38 Correct 127 ms 4000 KB Output is correct
39 Correct 20 ms 4024 KB Output is correct
40 Correct 142 ms 3996 KB Output is correct
41 Correct 27 ms 3936 KB Output is correct
42 Correct 141 ms 3996 KB Output is correct
43 Correct 20 ms 4020 KB Output is correct
44 Correct 129 ms 3996 KB Output is correct
45 Correct 20 ms 4016 KB Output is correct
46 Correct 134 ms 4004 KB Output is correct
47 Correct 4 ms 3796 KB Output is correct
48 Correct 67 ms 4020 KB Output is correct
49 Correct 71 ms 4000 KB Output is correct
50 Correct 148 ms 3924 KB Output is correct
51 Correct 139 ms 3924 KB Output is correct

Subtask #3
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 384 ms 5716 KB Output is correct
2 Correct 10 ms 5460 KB Output is correct
3 Correct 391 ms 5716 KB Output is correct
4 Correct 11 ms 5460 KB Output is correct
5 Correct 413 ms 5720 KB Output is correct
6 Correct 10 ms 5460 KB Output is correct
7 Correct 343 ms 5724 KB Output is correct
8 Correct 11 ms 5520 KB Output is correct
9 Correct 338 ms 5716 KB Output is correct
10 Correct 9 ms 5520 KB Output is correct
11 Correct 360 ms 5832 KB Output is correct
12 Correct 12 ms 5460 KB Output is correct
13 Correct 385 ms 5720 KB Output is correct
14 Correct 319 ms 5716 KB Output is correct
15 Correct 12 ms 5576 KB Output is correct
16 Correct 412 ms 5716 KB Output is correct
17 Correct 9 ms 5460 KB Output is correct
18 Correct 323 ms 5840 KB Output is correct
19 Correct 9 ms 5588 KB Output is correct
20 Correct 329 ms 5716 KB Output is correct
21 Correct 13 ms 5460 KB Output is correct
22 Correct 199 ms 5712 KB Output is correct

Subtask #4
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3540 KB Output is correct
2 Correct 2 ms 3540 KB Output is correct
3 Correct 2 ms 3540 KB Output is correct
4 Correct 2 ms 3540 KB Output is correct
5 Correct 3 ms 3540 KB Output is correct
6 Correct 2 ms 3540 KB Output is correct
7 Correct 3 ms 3540 KB Output is correct
8 Correct 3 ms 3540 KB Output is correct
9 Correct 3 ms 3540 KB Output is correct
10 Correct 4 ms 3540 KB Output is correct
11 Correct 3 ms 3540 KB Output is correct
12 Correct 3 ms 3540 KB Output is correct
13 Correct 3 ms 3540 KB Output is correct
14 Correct 2 ms 3540 KB Output is correct
15 Correct 3 ms 3540 KB Output is correct
16 Correct 2 ms 3540 KB Output is correct
17 Correct 3 ms 3540 KB Output is correct
18 Correct 3 ms 3540 KB Output is correct
19 Correct 3 ms 3540 KB Output is correct
20 Correct 3 ms 3540 KB Output is correct
21 Correct 2 ms 3412 KB Output is correct
22 Correct 3 ms 3540 KB Output is correct
23 Correct 2 ms 3540 KB Output is correct
24 Correct 2 ms 3540 KB Output is correct
25 Correct 3 ms 3540 KB Output is correct
26 Correct 137 ms 4000 KB Output is correct
27 Correct 30 ms 3924 KB Output is correct
28 Correct 144 ms 4000 KB Output is correct
29 Correct 20 ms 3924 KB Output is correct
30 Correct 153 ms 4012 KB Output is correct
31 Correct 21 ms 3924 KB Output is correct
32 Correct 132 ms 3924 KB Output is correct
33 Correct 21 ms 4024 KB Output is correct
34 Correct 19 ms 4012 KB Output is correct
35 Correct 26 ms 4016 KB Output is correct
36 Correct 139 ms 3924 KB Output is correct
37 Correct 24 ms 3924 KB Output is correct
38 Correct 127 ms 4000 KB Output is correct
39 Correct 20 ms 4024 KB Output is correct
40 Correct 142 ms 3996 KB Output is correct
41 Correct 27 ms 3936 KB Output is correct
42 Correct 141 ms 3996 KB Output is correct
43 Correct 20 ms 4020 KB Output is correct
44 Correct 129 ms 3996 KB Output is correct
45 Correct 20 ms 4016 KB Output is correct
46 Correct 134 ms 4004 KB Output is correct
47 Correct 4 ms 3796 KB Output is correct
48 Correct 67 ms 4020 KB Output is correct
49 Correct 71 ms 4000 KB Output is correct
50 Correct 148 ms 3924 KB Output is correct
51 Correct 139 ms 3924 KB Output is correct
52 Correct 384 ms 5716 KB Output is correct
53 Correct 10 ms 5460 KB Output is correct
54 Correct 391 ms 5716 KB Output is correct
55 Correct 11 ms 5460 KB Output is correct
56 Correct 413 ms 5720 KB Output is correct
57 Correct 10 ms 5460 KB Output is correct
58 Correct 343 ms 5724 KB Output is correct
59 Correct 11 ms 5520 KB Output is correct
60 Correct 338 ms 5716 KB Output is correct
61 Correct 9 ms 5520 KB Output is correct
62 Correct 360 ms 5832 KB Output is correct
63 Correct 12 ms 5460 KB Output is correct
64 Correct 385 ms 5720 KB Output is correct
65 Correct 319 ms 5716 KB Output is correct
66 Correct 12 ms 5576 KB Output is correct
67 Correct 412 ms 5716 KB Output is correct
68 Correct 9 ms 5460 KB Output is correct
69 Correct 323 ms 5840 KB Output is correct
70 Correct 9 ms 5588 KB Output is correct
71 Correct 329 ms 5716 KB Output is correct
72 Correct 13 ms 5460 KB Output is correct
73 Correct 199 ms 5712 KB Output is correct
74 Correct 1980 ms 10716 KB Output is correct
75 Correct 143 ms 10696 KB Output is correct
76 Correct 2055 ms 10808 KB Output is correct
77 Correct 136 ms 10764 KB Output is correct
78 Correct 1986 ms 10776 KB Output is correct
79 Correct 2118 ms 10876 KB Output is correct
80 Correct 119 ms 10772 KB Output is correct
81 Correct 141 ms 10740 KB Output is correct
82 Correct 2040 ms 10876 KB Output is correct
83 Correct 2068 ms 10768 KB Output is correct
84 Correct 132 ms 10772 KB Output is correct
85 Correct 1954 ms 10768 KB Output is correct
86 Correct 156 ms 10748 KB Output is correct
87 Correct 2080 ms 10884 KB Output is correct
88 Correct 142 ms 10772 KB Output is correct
89 Correct 1947 ms 10772 KB Output is correct
90 Correct 143 ms 10768 KB Output is correct
91 Correct 2165 ms 10872 KB Output is correct
92 Correct 132 ms 10764 KB Output is correct
93 Correct 2200 ms 10768 KB Output is correct
94 Correct 47 ms 10464 KB Output is correct
95 Correct 1159 ms 10764 KB Output is correct
96 Correct 1143 ms 10760 KB Output is correct
97 Correct 2078 ms 10768 KB Output is correct
98 Correct 1979 ms 10892 KB Output is correct