Submission #416627

# Submission time Handle Problem Language Result Execution time Memory
416627 2021-06-02T17:20:14 Z Mamnoon_Siam Construction of Highway (JOI18_construction) C++17
100 / 100
1055 ms 29252 KB
#include <bits/stdc++.h>
using namespace std;

using ii = pair<int, int>;
using ll = long long;
using vi = vector<int>;
#define fi first
#define se second
#define all(v) begin(v), end(v)
#define sz(v) (int)(v.size())

struct interval {
  int l, r, x;
  bool operator < (const interval& o) const {
    return l < o.l;
  }
};
int main(int argc, char const *argv[])
{
#ifdef LOCAL
  freopen("in2", "r", stdin);
#endif
  int n; scanf("%d", &n);
  vi C(n);
  for(int i = 0; i < n; ++i) {
    scanf("%d", &C[i]);
  }
  vi CC = C; sort(all(CC)); CC.erase(unique(all(CC)), CC.end());
  for(int i = 0; i < n; ++i) {
    C[i] = int(lower_bound(all(CC), C[i]) - CC.begin());
  }
  vi A(n-1), B(n-1);
  vector<vi> g(n);
  for(int i = 0; i < n-1; ++i) {
    scanf("%d %d", &A[i], &B[i]);
    A[i]--, B[i]--;
    g[A[i]].emplace_back(B[i]);
    g[B[i]].emplace_back(A[i]);
  }
  vi in(n), sub(n), who(n), par(n);
  int tym = 0;
  function<void(int,int)> dfs0 = [&](int u, int dad) {
    par[u] = dad;
    sub[u] = 1;
    for(int v : g[u]) if(v != dad) {
      dfs0(v, u);
      sub[u] += sub[v];
    }
  };
  dfs0(0, -1);
  vi head(n);
  function<void(int,int,int)> hld_build = [&](int u, int dad, int Head) {
    who[in[u] = tym++] = u;
    head[u] = Head;
    ii big(0, -1);
    for(int v : g[u]) if(v != dad) {
      big = max(big, ii(sub[v], v));
    }
    if(big.fi) hld_build(big.se, u, Head);
    for(int v : g[u]) if(v != dad and v != big.se) {
      hld_build(v, u, v);
    }
  };
  hld_build(0, -1, 0);
  set<interval> st;
  auto set_range = [&](int L, int R, int x) {
    auto lit = --st.upper_bound({L,0,0});
    auto rit = st.upper_bound({R,0,0});

    int lb = lit -> l, rb = prev(rit) -> r;
    int lx = lit -> x, rx = prev(rit) -> x;

    vector<interval> ret;
    for(auto it = lit; it != rit; ++it) {
      ret.push_back({max(L, it -> l), min(R, it -> r), it -> x});
    }

    st.erase(lit, rit);

    if(lb < L) st.insert(rit, {lb, L-1, lx});
    st.insert(rit, {L, R, x});
    if(rb > R) st.insert(rit, {R+1, rb, rx});

    return ret;
  };
  for(int i = 0; i < n; ++i) {
    st.insert({in[i], in[i], C[i]});
  }
  auto rev_append = [](vector<interval>& X, vector<interval> Y) {
    reverse(all(Y));
    X.insert(X.end(), all(Y));
  };
  vi cnt(n+5);
  for(int j = 0; j < n-1; ++j) {
    int u = A[j];
    vector<interval> ls;
    do {
      rev_append(ls, set_range(in[head[u]], in[u], C[B[j]]));
      u = par[head[u]];
    } while(~u);
    reverse(all(ls));
    vi c(sz(ls)), v(sz(ls));
    for(int i = 0; i < sz(ls); ++i) {
      c[i] = ls[i].r - ls[i].l + 1;
      v[i] = ls[i].x;
    }
    ll ans = 0;
    for(int it = 0; it < 17; ++it) {
      for(int i = 0; i < sz(v); ++i) {
        if(~v[i] & 1) {
          ans += (ll) c[i] * cnt[v[i] | 1];
        }
        cnt[v[i]] += c[i];
      }
      for(int i = 0; i < sz(v); ++i) {
        cnt[v[i]] -= c[i];
        v[i] >>= 1;
      }
    }
    printf("%lld\n", ans);
  }
  return 0;
}

Compilation message

construction.cpp: In function 'int main(int, const char**)':
construction.cpp:23:15: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   23 |   int n; scanf("%d", &n);
      |          ~~~~~^~~~~~~~~~
construction.cpp:26:10: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   26 |     scanf("%d", &C[i]);
      |     ~~~~~^~~~~~~~~~~~~
construction.cpp:35:10: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   35 |     scanf("%d %d", &A[i], &B[i]);
      |     ~~~~~^~~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 2 ms 332 KB Output is correct
6 Correct 2 ms 332 KB Output is correct
7 Correct 2 ms 332 KB Output is correct
8 Correct 2 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 2 ms 332 KB Output is correct
13 Correct 2 ms 332 KB Output is correct
14 Correct 2 ms 332 KB Output is correct
15 Correct 3 ms 332 KB Output is correct
16 Correct 2 ms 332 KB Output is correct
17 Correct 2 ms 332 KB Output is correct
18 Correct 2 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 1 ms 332 KB Output is correct
22 Correct 2 ms 332 KB Output is correct
23 Correct 2 ms 332 KB Output is correct
24 Correct 2 ms 332 KB Output is correct
25 Correct 2 ms 332 KB Output is correct
26 Correct 1 ms 332 KB Output is correct
27 Correct 1 ms 332 KB Output is correct
28 Correct 1 ms 296 KB Output is correct
29 Correct 1 ms 332 KB Output is correct
30 Correct 2 ms 332 KB Output is correct
31 Correct 2 ms 332 KB Output is correct
32 Correct 1 ms 332 KB Output is correct
33 Correct 2 ms 292 KB Output is correct
34 Correct 1 ms 332 KB Output is correct
35 Correct 1 ms 332 KB Output is correct
36 Correct 1 ms 280 KB Output is correct
37 Correct 1 ms 332 KB Output is correct
38 Correct 1 ms 300 KB Output is correct
39 Correct 2 ms 332 KB Output is correct
40 Correct 2 ms 296 KB Output is correct
41 Correct 2 ms 332 KB Output is correct
42 Correct 1 ms 332 KB Output is correct
43 Correct 2 ms 332 KB Output is correct
44 Correct 1 ms 332 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 2 ms 332 KB Output is correct
6 Correct 2 ms 332 KB Output is correct
7 Correct 2 ms 332 KB Output is correct
8 Correct 2 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 2 ms 332 KB Output is correct
13 Correct 2 ms 332 KB Output is correct
14 Correct 2 ms 332 KB Output is correct
15 Correct 3 ms 332 KB Output is correct
16 Correct 2 ms 332 KB Output is correct
17 Correct 2 ms 332 KB Output is correct
18 Correct 2 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 1 ms 332 KB Output is correct
22 Correct 2 ms 332 KB Output is correct
23 Correct 2 ms 332 KB Output is correct
24 Correct 2 ms 332 KB Output is correct
25 Correct 2 ms 332 KB Output is correct
26 Correct 1 ms 332 KB Output is correct
27 Correct 1 ms 332 KB Output is correct
28 Correct 1 ms 296 KB Output is correct
29 Correct 1 ms 332 KB Output is correct
30 Correct 2 ms 332 KB Output is correct
31 Correct 2 ms 332 KB Output is correct
32 Correct 1 ms 332 KB Output is correct
33 Correct 2 ms 292 KB Output is correct
34 Correct 1 ms 332 KB Output is correct
35 Correct 1 ms 332 KB Output is correct
36 Correct 1 ms 280 KB Output is correct
37 Correct 1 ms 332 KB Output is correct
38 Correct 1 ms 300 KB Output is correct
39 Correct 2 ms 332 KB Output is correct
40 Correct 2 ms 296 KB Output is correct
41 Correct 2 ms 332 KB Output is correct
42 Correct 1 ms 332 KB Output is correct
43 Correct 2 ms 332 KB Output is correct
44 Correct 1 ms 332 KB Output is correct
45 Correct 3 ms 460 KB Output is correct
46 Correct 14 ms 972 KB Output is correct
47 Correct 14 ms 972 KB Output is correct
48 Correct 15 ms 1000 KB Output is correct
49 Correct 8 ms 1356 KB Output is correct
50 Correct 7 ms 1356 KB Output is correct
51 Correct 8 ms 1476 KB Output is correct
52 Correct 7 ms 1228 KB Output is correct
53 Correct 9 ms 1276 KB Output is correct
54 Correct 8 ms 1200 KB Output is correct
55 Correct 8 ms 1228 KB Output is correct
56 Correct 7 ms 1212 KB Output is correct
57 Correct 21 ms 980 KB Output is correct
58 Correct 23 ms 972 KB Output is correct
59 Correct 23 ms 1004 KB Output is correct
60 Correct 23 ms 996 KB Output is correct
61 Correct 8 ms 1220 KB Output is correct
62 Correct 8 ms 1184 KB Output is correct
63 Correct 8 ms 1100 KB Output is correct
64 Correct 12 ms 880 KB Output is correct
65 Correct 14 ms 1100 KB Output is correct
66 Correct 16 ms 972 KB Output is correct
67 Correct 14 ms 980 KB Output is correct
68 Correct 7 ms 1356 KB Output is correct
69 Correct 7 ms 1184 KB Output is correct
70 Correct 7 ms 1260 KB Output is correct
71 Correct 7 ms 1200 KB Output is correct
72 Correct 21 ms 972 KB Output is correct
73 Correct 21 ms 972 KB Output is correct
74 Correct 7 ms 1100 KB Output is correct
75 Correct 8 ms 1076 KB Output is correct
76 Correct 8 ms 944 KB Output is correct
77 Correct 8 ms 1032 KB Output is correct
78 Correct 9 ms 1076 KB Output is correct
79 Correct 8 ms 964 KB Output is correct
80 Correct 8 ms 1100 KB Output is correct
81 Correct 8 ms 1096 KB Output is correct
82 Correct 9 ms 972 KB Output is correct
83 Correct 9 ms 1008 KB Output is correct
84 Correct 8 ms 972 KB Output is correct
85 Correct 8 ms 972 KB Output is correct
86 Correct 8 ms 1008 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 2 ms 332 KB Output is correct
6 Correct 2 ms 332 KB Output is correct
7 Correct 2 ms 332 KB Output is correct
8 Correct 2 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 2 ms 332 KB Output is correct
13 Correct 2 ms 332 KB Output is correct
14 Correct 2 ms 332 KB Output is correct
15 Correct 3 ms 332 KB Output is correct
16 Correct 2 ms 332 KB Output is correct
17 Correct 2 ms 332 KB Output is correct
18 Correct 2 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 1 ms 332 KB Output is correct
22 Correct 2 ms 332 KB Output is correct
23 Correct 2 ms 332 KB Output is correct
24 Correct 2 ms 332 KB Output is correct
25 Correct 2 ms 332 KB Output is correct
26 Correct 1 ms 332 KB Output is correct
27 Correct 1 ms 332 KB Output is correct
28 Correct 1 ms 296 KB Output is correct
29 Correct 1 ms 332 KB Output is correct
30 Correct 2 ms 332 KB Output is correct
31 Correct 2 ms 332 KB Output is correct
32 Correct 1 ms 332 KB Output is correct
33 Correct 2 ms 292 KB Output is correct
34 Correct 1 ms 332 KB Output is correct
35 Correct 1 ms 332 KB Output is correct
36 Correct 1 ms 280 KB Output is correct
37 Correct 1 ms 332 KB Output is correct
38 Correct 1 ms 300 KB Output is correct
39 Correct 2 ms 332 KB Output is correct
40 Correct 2 ms 296 KB Output is correct
41 Correct 2 ms 332 KB Output is correct
42 Correct 1 ms 332 KB Output is correct
43 Correct 2 ms 332 KB Output is correct
44 Correct 1 ms 332 KB Output is correct
45 Correct 3 ms 460 KB Output is correct
46 Correct 14 ms 972 KB Output is correct
47 Correct 14 ms 972 KB Output is correct
48 Correct 15 ms 1000 KB Output is correct
49 Correct 8 ms 1356 KB Output is correct
50 Correct 7 ms 1356 KB Output is correct
51 Correct 8 ms 1476 KB Output is correct
52 Correct 7 ms 1228 KB Output is correct
53 Correct 9 ms 1276 KB Output is correct
54 Correct 8 ms 1200 KB Output is correct
55 Correct 8 ms 1228 KB Output is correct
56 Correct 7 ms 1212 KB Output is correct
57 Correct 21 ms 980 KB Output is correct
58 Correct 23 ms 972 KB Output is correct
59 Correct 23 ms 1004 KB Output is correct
60 Correct 23 ms 996 KB Output is correct
61 Correct 8 ms 1220 KB Output is correct
62 Correct 8 ms 1184 KB Output is correct
63 Correct 8 ms 1100 KB Output is correct
64 Correct 12 ms 880 KB Output is correct
65 Correct 14 ms 1100 KB Output is correct
66 Correct 16 ms 972 KB Output is correct
67 Correct 14 ms 980 KB Output is correct
68 Correct 7 ms 1356 KB Output is correct
69 Correct 7 ms 1184 KB Output is correct
70 Correct 7 ms 1260 KB Output is correct
71 Correct 7 ms 1200 KB Output is correct
72 Correct 21 ms 972 KB Output is correct
73 Correct 21 ms 972 KB Output is correct
74 Correct 7 ms 1100 KB Output is correct
75 Correct 8 ms 1076 KB Output is correct
76 Correct 8 ms 944 KB Output is correct
77 Correct 8 ms 1032 KB Output is correct
78 Correct 9 ms 1076 KB Output is correct
79 Correct 8 ms 964 KB Output is correct
80 Correct 8 ms 1100 KB Output is correct
81 Correct 8 ms 1096 KB Output is correct
82 Correct 9 ms 972 KB Output is correct
83 Correct 9 ms 1008 KB Output is correct
84 Correct 8 ms 972 KB Output is correct
85 Correct 8 ms 972 KB Output is correct
86 Correct 8 ms 1008 KB Output is correct
87 Correct 39 ms 1996 KB Output is correct
88 Correct 144 ms 5620 KB Output is correct
89 Correct 601 ms 18464 KB Output is correct
90 Correct 606 ms 18436 KB Output is correct
91 Correct 561 ms 18392 KB Output is correct
92 Correct 208 ms 29252 KB Output is correct
93 Correct 211 ms 29192 KB Output is correct
94 Correct 203 ms 29208 KB Output is correct
95 Correct 216 ms 24640 KB Output is correct
96 Correct 237 ms 25048 KB Output is correct
97 Correct 217 ms 24976 KB Output is correct
98 Correct 224 ms 24968 KB Output is correct
99 Correct 206 ms 24004 KB Output is correct
100 Correct 912 ms 17952 KB Output is correct
101 Correct 1018 ms 18376 KB Output is correct
102 Correct 1055 ms 18348 KB Output is correct
103 Correct 1040 ms 18392 KB Output is correct
104 Correct 226 ms 23896 KB Output is correct
105 Correct 219 ms 23836 KB Output is correct
106 Correct 215 ms 23840 KB Output is correct
107 Correct 506 ms 17624 KB Output is correct
108 Correct 541 ms 17880 KB Output is correct
109 Correct 552 ms 18028 KB Output is correct
110 Correct 184 ms 28612 KB Output is correct
111 Correct 206 ms 24608 KB Output is correct
112 Correct 213 ms 24348 KB Output is correct
113 Correct 178 ms 23208 KB Output is correct
114 Correct 872 ms 18088 KB Output is correct
115 Correct 945 ms 17756 KB Output is correct
116 Correct 202 ms 23216 KB Output is correct
117 Correct 225 ms 20892 KB Output is correct
118 Correct 229 ms 19848 KB Output is correct
119 Correct 222 ms 19352 KB Output is correct
120 Correct 204 ms 20488 KB Output is correct
121 Correct 203 ms 19484 KB Output is correct
122 Correct 206 ms 19012 KB Output is correct
123 Correct 253 ms 20860 KB Output is correct
124 Correct 245 ms 19932 KB Output is correct
125 Correct 250 ms 19464 KB Output is correct
126 Correct 281 ms 20548 KB Output is correct
127 Correct 227 ms 19624 KB Output is correct
128 Correct 239 ms 19240 KB Output is correct