Submission #542375

# Submission time Handle Problem Language Result Execution time Memory
542375 2022-03-26T09:49:27 Z farhan132 Palembang Bridges (APIO15_bridge) C++17
100 / 100
334 ms 16604 KB
/***Farhan132***/
//#pragma GCC optimize("Ofast")
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2,fma")
//#pragma GCC optimization ("unroll-loops")
//#pragma GCC optimize("Ofast,fast-math")
 
 
#include <bits/stdc++.h>
 
 
 
using namespace std;
 
typedef long long ll;
typedef unsigned long long ull;
typedef double dd;
typedef vector<ll> vll;
typedef pair<ll , ll> ii;
typedef vector< ii > vii;
typedef pair < pair < ll , ll > , pair < ll , ll > > cm; 
typedef tuple < int, ll, ll > tp;
 
#define ff first
#define ss second
#define pb push_back
#define in insert
#define f0(b) for(int i=0;i<(b);i++)
#define f00(b) for(int j=0;j<(b);j++)
#define f1(b) for(int i=1;i<=(b);i++)
#define f11(b) for(int j=1;j<=(b);j++)
#define f2(a,b) for(int i=(a);i<=(b);i++)
#define f22(a,b) for(int j=(a);j<=(b);j++)
#define sf(a) scanf("%lld",&a)
#define sff(a,b) scanf("%lld %lld", &a , &b)
#define pf(a) printf("%lld\n",a)
#define pff(a,b) printf("%lld %lld\n", a , b)
#define bug printf("**!\n")
#define mem(a , b) memset(a, b ,sizeof(a))
#define front_zero(n) __builtin_clzll(n)
#define back_zero(n) __builtin_ctzll(n)
#define total_one(n) __builtin_popcount(n)
#define clean fflush(stdout)
 
//const ll mod =  (ll) 998244353;
const ll mod =  (ll) 1e9 + 7;
const ll maxn = (ll)1e8 + 5;
const int nnn = 1048590;
const int inf = numeric_limits<int>::max()-1;
//const ll INF = numeric_limits<ll>::max()-1;
const ll INF = (ll)1e18;
 
ll dx[]={0,1,0,-1};
ll dy[]={1,0,-1,0};
ll dxx[]={0,1,0,-1,1,1,-1,-1};
ll dyy[]={1,0,-1,0,1,-1,1,-1};
 
bool USACO = 0;
 
mt19937 rng(chrono::system_clock::now().time_since_epoch().count());
 
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
 
template <typename T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
 
const ll N = 2e5 + 5;
 
struct fenwick{
  ll ft[N];
  void t(){
    mem(ft, 0);
    return;
  }
  void up(ll p, ll x) {
    for(; p < N; p += p & -p)
      ft[p] += x;
  } 
  ll sum(ll l, ll r) {
    ll ret = 0;
    for(--l; l > 0; l -= l & -l) ret -= ft[l];
    for(; r > 0; r -= r & -r) ret += ft[r];
    return ret;
  }
}sum1,sum2,c1,c2;
 
ll pref[N], suf[N];
 
ll pos(vector < ll >& v, ll key){
  return lower_bound(v.begin(), v.end(), key) - v.begin();
}
 
ll cost(ll x, ll w){
  return w * c1.sum(1, x-1) - sum1.sum(1, x-1) + sum2.sum(x + 1, N - 2) - w * c2.sum(x + 1, N - 2); 
}

bool comp(ii x, ii y){
  auto [l1, r1] = x;
  auto [l2, r2] = y;
  if(x == y) return 0;

  if(r1 <= l2) return 1;
  if(r2 <= l1) return 0;

  if(l1 <= l2 && r2 > r1) return 1;
  if(l2 <= l1 && r1 > r2) return 0; 

  if(l1 <= l2 && r2 <= r1){
    return (l2 - l1) > (r1 - r2);
  }else{
    assert(l2 <= l1 && r1 <= r2);
    swap(l1, l2);
    swap(r1, r2);
    return !((l2 - l1) > (r1 - r2));
  }
  return 0;
}

void solve(){
 
   ll k , n;
   cin >> k >> n;
 
   ll ans = 0;
 
   vector < ii > v;
   vector < ll > L , R;
   vector < ll > t;
 
   for(ll i = 1; i <= n; i++){
    char A , B; ll a , b;
    cin >> A >> a >> B >> b;
    ans += abs(a - b) + (A != B);
    if(A != B){
      if(a > b) swap(a, b);
      v.pb({a, b});
      L.pb(a);
      R.pb(b);
      t.pb(a); t.pb(b);
    }
   }
 
   if(!t.size()){
    cout << ans << '\n';
    return;
   }
 
   sort(v.begin(), v.end(), comp);
 
   sort(L.begin() , L.end());
   L.erase(unique(L.begin(), L.end()),L.end());
 
   sort(R.begin() , R.end());
   R.erase(unique(R.begin(), R.end()),R.end());
 
   sort(t.begin(), t.end());
   t.erase(unique(t.begin(), t.end()),t.end());
 
   for(ll i = 1; i < v.size(); i++) pref[i] = 1e18;
 
   ll cur = 1;
   pref[0] = 0;
 
   for(ll i = 0; i < v.size(); i++){
    auto [l , r] = v[i];
 
    sum2.up(pos(t, l)+1, l);
    c2.up(pos(t, l)+1, 1);
    sum1.up(pos(t, r)+1 , r);
    c1.up(pos(t, r)+1, 1);
 
    while(cur + 1 <= t.size() && cost(cur, t[cur - 1]) > cost(cur + 1, t[cur])) cur++;
    pref[i + 1] = cost(cur, t[cur - 1]);
   }

   

   c1.t();
   c2.t();
   sum1.t();
   sum2.t();

   ll sz = v.size();
   cur = t.size();

   suf[sz + 1] = 0;

   for(ll i = sz - 1; i >= 0; i--){
    auto [l , r] = v[i];
 
    sum2.up(pos(t, l)+1, l);
    c2.up(pos(t, l)+1, 1);
    sum1.up(pos(t, r)+1 , r);
    c1.up(pos(t, r)+1, 1);
 
    while(cur - 1 >= 1 && cost(cur, t[cur - 1]) > cost(cur - 1, t[cur - 2])) cur--;
    suf[i + 1] = cost(cur, t[cur - 1]);
   }
   ll mn = 1e18;
   for(ll i = 0; i <= sz; i++){
    mn = min(mn , pref[i] + suf[i + 1]);
   }
   if(k == 1){
    cout << ans + 2 * suf[1] << '\n';
    return;
   }

   cout << ans + 2 * mn << '\n';


   
   return;
}
 
int main() {
    
    
    #ifdef LOCAL
        freopen("in", "r", stdin);
        freopen("out", "w", stdout);
        auto start_time = clock();
    #else 
       ios_base::sync_with_stdio(0); cin.tie(NULL); cout.tie(NULL);
    #endif
 
    //pre();
 
    ll T = 1, CT = 0; // cin >> T;
 
    while(T--){
        // cout << "Case #" << ++CT <<": " ;
        solve();
    }
    #ifdef LOCAL
        auto end_time = clock();
        cerr<< "Execution time: "<<(end_time - start_time)*(int)1e3/CLOCKS_PER_SEC<<" ms\n";
    #endif
 
    return 0;
}

Compilation message

bridge.cpp: In function 'void solve()':
bridge.cpp:159:20: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  159 |    for(ll i = 1; i < v.size(); i++) pref[i] = 1e18;
      |                  ~~^~~~~~~~~~
bridge.cpp:164:20: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  164 |    for(ll i = 0; i < v.size(); i++){
      |                  ~~^~~~~~~~~~
bridge.cpp:172:19: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  172 |     while(cur + 1 <= t.size() && cost(cur, t[cur - 1]) > cost(cur + 1, t[cur])) cur++;
      |           ~~~~~~~~^~~~~~~~~~~
bridge.cpp: In function 'int main()':
bridge.cpp:228:15: warning: unused variable 'CT' [-Wunused-variable]
  228 |     ll T = 1, CT = 0; // cin >> T;
      |               ^~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 4 ms 6564 KB Output is correct
4 Correct 4 ms 6612 KB Output is correct
5 Correct 5 ms 6612 KB Output is correct
6 Correct 3 ms 6612 KB Output is correct
7 Correct 6 ms 6612 KB Output is correct
8 Correct 4 ms 6612 KB Output is correct
9 Correct 4 ms 6612 KB Output is correct
10 Correct 3 ms 6612 KB Output is correct
11 Correct 5 ms 6692 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 4 ms 6612 KB Output is correct
4 Correct 5 ms 6652 KB Output is correct
5 Correct 5 ms 6580 KB Output is correct
6 Correct 3 ms 6612 KB Output is correct
7 Correct 5 ms 6612 KB Output is correct
8 Correct 4 ms 6612 KB Output is correct
9 Correct 4 ms 6612 KB Output is correct
10 Correct 3 ms 6612 KB Output is correct
11 Correct 4 ms 6612 KB Output is correct
12 Correct 74 ms 14268 KB Output is correct
13 Correct 251 ms 14148 KB Output is correct
14 Correct 143 ms 13524 KB Output is correct
15 Correct 130 ms 10572 KB Output is correct
16 Correct 74 ms 14204 KB Output is correct
17 Correct 149 ms 14112 KB Output is correct
18 Correct 133 ms 14104 KB Output is correct
19 Correct 163 ms 14220 KB Output is correct
20 Correct 86 ms 14168 KB Output is correct
21 Correct 192 ms 14192 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 3 ms 6612 KB Output is correct
4 Correct 4 ms 6612 KB Output is correct
5 Correct 3 ms 6484 KB Output is correct
6 Correct 3 ms 6600 KB Output is correct
7 Correct 3 ms 6612 KB Output is correct
8 Correct 4 ms 6612 KB Output is correct
9 Correct 3 ms 6612 KB Output is correct
10 Correct 4 ms 6612 KB Output is correct
11 Correct 4 ms 6612 KB Output is correct
12 Correct 4 ms 6600 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 4 ms 6576 KB Output is correct
4 Correct 3 ms 6612 KB Output is correct
5 Correct 3 ms 6484 KB Output is correct
6 Correct 8 ms 6604 KB Output is correct
7 Correct 4 ms 6612 KB Output is correct
8 Correct 4 ms 6612 KB Output is correct
9 Correct 4 ms 6612 KB Output is correct
10 Correct 5 ms 6608 KB Output is correct
11 Correct 5 ms 6600 KB Output is correct
12 Correct 4 ms 6612 KB Output is correct
13 Correct 5 ms 6612 KB Output is correct
14 Correct 4 ms 6612 KB Output is correct
15 Correct 5 ms 6612 KB Output is correct
16 Correct 3 ms 6612 KB Output is correct
17 Correct 4 ms 6612 KB Output is correct
18 Correct 4 ms 6612 KB Output is correct
19 Correct 4 ms 6612 KB Output is correct
20 Correct 4 ms 6672 KB Output is correct
21 Correct 5 ms 6612 KB Output is correct
22 Correct 5 ms 6608 KB Output is correct
23 Correct 4 ms 6612 KB Output is correct
24 Correct 6 ms 6612 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 3 ms 6612 KB Output is correct
4 Correct 3 ms 6612 KB Output is correct
5 Correct 4 ms 6600 KB Output is correct
6 Correct 3 ms 6484 KB Output is correct
7 Correct 4 ms 6612 KB Output is correct
8 Correct 3 ms 6612 KB Output is correct
9 Correct 3 ms 6608 KB Output is correct
10 Correct 5 ms 6612 KB Output is correct
11 Correct 3 ms 6612 KB Output is correct
12 Correct 4 ms 6612 KB Output is correct
13 Correct 4 ms 6608 KB Output is correct
14 Correct 5 ms 6612 KB Output is correct
15 Correct 6 ms 6632 KB Output is correct
16 Correct 4 ms 6612 KB Output is correct
17 Correct 4 ms 6612 KB Output is correct
18 Correct 4 ms 6612 KB Output is correct
19 Correct 4 ms 6664 KB Output is correct
20 Correct 5 ms 6664 KB Output is correct
21 Correct 6 ms 6616 KB Output is correct
22 Correct 6 ms 6632 KB Output is correct
23 Correct 4 ms 6584 KB Output is correct
24 Correct 5 ms 6628 KB Output is correct
25 Correct 84 ms 14916 KB Output is correct
26 Correct 111 ms 15176 KB Output is correct
27 Correct 255 ms 15944 KB Output is correct
28 Correct 334 ms 16512 KB Output is correct
29 Correct 297 ms 16524 KB Output is correct
30 Correct 136 ms 11532 KB Output is correct
31 Correct 80 ms 15792 KB Output is correct
32 Correct 159 ms 16604 KB Output is correct
33 Correct 142 ms 16116 KB Output is correct
34 Correct 183 ms 16476 KB Output is correct
35 Correct 89 ms 16016 KB Output is correct
36 Correct 171 ms 16292 KB Output is correct
37 Correct 67 ms 14984 KB Output is correct