oj.uz

Submission #685670

# Submission time Handle Problem Language Result Execution time Memory
685670 2023-01-24T19:00:50 Z cadmiumsky Sky Walking (IOI19_walk) C++14
100 / 100
 2328 ms 301140 KB 
#include <bits/stdc++.h>
//#pragma GCC optimize ("O3")
#define all(x) (x).begin(),(x).end()
using namespace std;

using ll = long long;

//#define int ll
#define sz(x) ((int)(x).size())

using pii = pair<ll,ll>;
//using tii = tuple<int,int,int>;

struct tii {
  int first, second, ind;
  tii(int x, int y, int i) : first(x), second(y), ind(i) {;}
  tii() : first(-1), second(-1), ind(-1) {;}
  bool operator == (const tii& x) const { 
    return first == x.first && second == x.second;
  }
};


const int nmax = 1e5 + 5;
const ll inf = 1e18 + 5;

map<int, vector<pii>, greater<int>> segm;
map<int, vector<int>, greater<int>> columns;
vector<pii> buildings;

void repair(vector<pii> &v) {
  sort(all(v));
  int last = 0;
  for(int i = 1; i < sz(v); i++) {
    if(v[last].second == v[i].first) {
      v[last].second = v[i].second;
      v[i].second = -1;
    }
    else
      last = i;
  }
  v.resize(distance(v.begin(), stable_partition(all(v), [](auto x) { return x.second != -1; })));
}

namespace PointsG {
  vector<tii> pts;
  vector<vector<pii>> g;
  
  void addedge(int x, int y, int w) {
    g[x].emplace_back(y, w);
    g[y].emplace_back(x, w);
  }
  void add(int x, int y) {
    //cerr << "+ " << x << ' ' << y< '\n';
    pts.emplace_back(x, y, sz(pts));
  }

  void init() {
    sort(all(pts), [](auto a, auto b) { return pii{a.first, a.second} < pii{b.first, b.second}; });
    pts.resize(distance(pts.begin(), unique(all(pts))));
    for(int i = 0; i < sz(pts); i++)
      pts[i].ind = i;
    g.resize(sz(pts));
    for(int l = 0; l < sz(pts);) {
      int r = l;
      while(r < sz(pts) && pts[r].first == pts[l].first)
        r++;
      //cerr << l << ' ' << r << ' ' << pts[l].first << '\n';
      for(int j = l + 1; j < r; j++)
        if(pts[j].second <= buildings[pts[l].first].second)
          addedge(pts[j].ind, pts[j - 1].ind, pts[j].second - pts[j - 1].second);
      l = r;
    }
    
    sort(all(pts), [](auto a, auto b) { return pii{a.second, a.first} < pii{b.second, b.first}; });
    for(int l = 0; l < sz(pts);) {
      int r = l;
      while(r < sz(pts) && pts[r].second == pts[l].second)
        r++;
      auto &v = segm[pts[l].second];
      int ptr = 0;
      for(int j = l + 1; j < r; j++) {
        while(ptr < sz(v) && v[ptr].second < pts[j].first) ptr++;
        if(ptr == sz(v)) break;
        if(v[ptr].first > pts[j].first) continue;
        if(v[ptr].first <= pts[j - 1].first) {
          addedge(pts[j].ind, pts[j - 1].ind, buildings[pts[j].first].first - buildings[pts[j - 1].first].first);
        }
      }
      l = r;
    }
    
  }
  
  ll start(int S = -1, int T = -1) {
    //sort(all(pts), [](auto a, auto b) { return pii{a.first, a.second} < pii{b.first, b.second}; });
    for(auto [a, b, i] : pts) {
      if(b == 0) {
        if(S == -1) S = i;
        else { T = i; break; }
      }
    }
    //cerr << sz(pts) << '\n';
    vector<ll> arriv(sz(pts), inf);
    priority_queue<pii, vector<pii>, greater<pii>> heap;
    heap.emplace(0, S);
    arriv[S] = 0;
    while(!heap.empty()) {
      auto [c, node] = heap.top();
      heap.pop();
      if(c > arriv[node]) continue;
      for(auto [x, e] : g[node]) {
        if(e + c < arriv[x]) {
          arriv[x] = e + c;
          heap.emplace(e + c, x);
        }
      }
    }
    return arriv[T];
  }
}

namespace Beats {
  int r[nmax];
  int atr[nmax];
  int ggprev[nmax], ggnext[nmax];
  set<int> segm;
  set<int> availible;
  //#warning Gamble
  int gnext(int p) { auto it = availible.upper_bound(p); return (it == availible.end()? nmax - 1 : *it); }
  int gprev(int p) { auto it = availible.lower_bound(p); return (it == availible.begin()?  -1 : *prev(it)); }
  void split(int p, int y, bool add = 1) { // inutil? 
    //return;
    if(add)
      PointsG::add(p, y);
    if(add == 0) {
      availible.insert(p);
      if(availible.size() == 0) {
        ggprev[p] = -1;
        ggnext[p] = nmax - 1;
      }
      else {
        ggnext[p] = gnext(p);
        ggprev[p] = gprev(p);
        if(ggprev[p] != -1)
          ggnext[ggprev[p]] = p;
        ggprev[ggnext[p]] = p;
      }
      //return;
    }
    
    int pp1 = ggnext[p], pm1 = ggprev[p];
    //int pp1 = p + 1, pm1 = p - 1;
    
    auto it = segm.upper_bound(p);
    if(it != segm.begin() && !segm.empty()) {
      it = prev(it);
      int l = *it;
      //cerr << y << ": " << l << ' ' << p << ' ' << r[l] << ' ' << add << '\n';
      
      if(add && l <= p && p <= r[l])
        PointsG::add(p, atr[l]);
      if(l < p && p < r[l]) { // p nu se afla printre aia
        segm.insert(pp1);
        r[pp1] = r[l];
        r[l] = pm1;
        atr[pp1] = atr[l];
      }
      else if(l == p && p == r[l]) {
        segm.erase(p);
      }
      else if(l == p) {
        atr[pp1] = atr[l];
        segm.insert(pp1);
        r[pp1] = r[l];
        segm.erase(l);
      }
      else if(p == r[l]) r[l] = ggprev[r[l]];
    }
  }
  
  void color(int l, int R, int y) {
    
    //cerr << "\t" << l << ' ' << R << ' ' << y << '\n';
    split(l, y, 1);
    split(R, y, 1);
    auto it = segm.lower_bound(l);
    while(it != segm.end() && *it <= R) {
      //cerr << '\t' << *it << ' ' << r[*it] << '\n';
      PointsG::add(*it, y);
      PointsG::add(*it, atr[*it]);
      PointsG::add(r[*it], y);
      PointsG::add(r[*it], atr[*it]);
      segm.erase(it);
      it = segm.lower_bound(l);
    }
    segm.insert(l);
    r[l] = R;
    atr[l] = y;
    return;
  }
}

set<int, greater<int>> appearances;

void initpoints() {
  for(auto y : appearances) {
    for(auto a : columns[y])
      Beats::split(a, y, 0);
    repair(segm[y]);
    for(auto [l, r] : segm[y])
      Beats::color(l, r, y);
  }
  return;
}

long long min_distance(vector<signed> x, vector<signed> h, vector<signed> l, vector<signed> r, vector<signed> y, signed s, signed g) {
  //cerr << s << ' ' << g << '\n';
  PointsG::pts.reserve(sz(l) * 10);
  PointsG::g.reserve(sz(l) * 10);
  PointsG::add(s, 0);
  PointsG::add(g, 0);
  
  for(int i = 0; i < sz(l); i++) {
    appearances.emplace(y[i]);
    segm[y[i]].emplace_back(l[i], r[i]);
    if(l[i] <= s && s <= r[i])
      PointsG::add(s, y[i]);
    if(l[i] <= g && g <= r[i])
      PointsG::add(g, y[i]);
  }
  buildings.reserve(sz(x));
  for(int i = 0; i < sz(x); i++) {
    appearances.emplace(h[i]);
    buildings.emplace_back(x[i], h[i]);
    columns[h[i]].emplace_back(i);
  }
  
  initpoints();
  
  PointsG::init();
  auto a = PointsG::start();
  if(a == inf) return -1;
  return a;
}
#undef int

/**
      Vom spune că toamna a venit... foarte trist -
-- George Bacovia, Scântei galbene
*/

Compilation message

walk.cpp: In function 'll PointsG::start(int, int)':
walk.cpp:97:14: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   97 |     for(auto [a, b, i] : pts) {
      |              ^
walk.cpp:109:12: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
  109 |       auto [c, node] = heap.top();
      |            ^
walk.cpp:112:16: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
  112 |       for(auto [x, e] : g[node]) {
      |                ^
walk.cpp: In function 'void initpoints()':
walk.cpp:211:14: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
  211 |     for(auto [l, r] : segm[y])
      |              ^

Subtask #1
10.0 / 10.0

# 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 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 0 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct

Subtask #2
14.0 / 14.0

# 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 797 ms 115136 KB Output is correct
4 Correct 1181 ms 143392 KB Output is correct
5 Correct 790 ms 119952 KB Output is correct
6 Correct 648 ms 111064 KB Output is correct
7 Correct 686 ms 119524 KB Output is correct
8 Correct 923 ms 130204 KB Output is correct
9 Correct 962 ms 128456 KB Output is correct
10 Correct 1350 ms 165564 KB Output is correct
11 Correct 701 ms 91640 KB Output is correct
12 Correct 782 ms 86108 KB Output is correct
13 Correct 1208 ms 160536 KB Output is correct
14 Correct 480 ms 81448 KB Output is correct
15 Correct 353 ms 49188 KB Output is correct
16 Correct 229 ms 43416 KB Output is correct
17 Correct 222 ms 40644 KB Output is correct
18 Correct 368 ms 68940 KB Output is correct
19 Correct 13 ms 3912 KB Output is correct
20 Correct 166 ms 36432 KB Output is correct
21 Correct 199 ms 39268 KB Output is correct
22 Correct 212 ms 40236 KB Output is correct
23 Correct 371 ms 61192 KB Output is correct
24 Correct 200 ms 41172 KB Output is correct
25 Correct 235 ms 39884 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 3284 KB Output is correct
2 Correct 1198 ms 182672 KB Output is correct
3 Correct 1486 ms 202204 KB Output is correct
4 Correct 1573 ms 215804 KB Output is correct
5 Correct 1643 ms 216624 KB Output is correct
6 Correct 1475 ms 201964 KB Output is correct
7 Correct 823 ms 114904 KB Output is correct
8 Correct 454 ms 58840 KB Output is correct
9 Correct 1347 ms 187604 KB Output is correct
10 Correct 364 ms 73996 KB Output is correct
11 Correct 34 ms 5264 KB Output is correct

Subtask #4
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 3284 KB Output is correct
2 Correct 1198 ms 182672 KB Output is correct
3 Correct 1486 ms 202204 KB Output is correct
4 Correct 1573 ms 215804 KB Output is correct
5 Correct 1643 ms 216624 KB Output is correct
6 Correct 1475 ms 201964 KB Output is correct
7 Correct 823 ms 114904 KB Output is correct
8 Correct 454 ms 58840 KB Output is correct
9 Correct 1347 ms 187604 KB Output is correct
10 Correct 364 ms 73996 KB Output is correct
11 Correct 34 ms 5264 KB Output is correct
12 Correct 1375 ms 207796 KB Output is correct
13 Correct 1672 ms 281720 KB Output is correct
14 Correct 2202 ms 287248 KB Output is correct
15 Correct 992 ms 123532 KB Output is correct
16 Correct 1526 ms 200484 KB Output is correct
17 Correct 1657 ms 220848 KB Output is correct
18 Correct 966 ms 123696 KB Output is correct
19 Correct 1508 ms 199504 KB Output is correct
20 Correct 1323 ms 178956 KB Output is correct
21 Correct 487 ms 70780 KB Output is correct
22 Correct 973 ms 180104 KB Output is correct
23 Correct 836 ms 150340 KB Output is correct
24 Correct 626 ms 92704 KB Output is correct
25 Correct 860 ms 143708 KB Output is correct
26 Correct 518 ms 68768 KB Output is correct
27 Correct 2122 ms 274920 KB Output is correct
28 Correct 1747 ms 278272 KB Output is correct
29 Correct 2075 ms 272104 KB Output is correct
30 Correct 1297 ms 173720 KB Output is correct
31 Correct 2028 ms 256100 KB Output is correct
32 Correct 277 ms 55144 KB Output is correct
33 Correct 293 ms 54888 KB Output is correct
34 Correct 373 ms 64360 KB Output is correct
35 Correct 630 ms 91616 KB Output is correct
36 Correct 363 ms 58068 KB Output is correct
37 Correct 197 ms 39304 KB Output is correct
38 Correct 199 ms 40260 KB Output is correct
39 Correct 397 ms 61128 KB Output is correct
40 Correct 201 ms 41224 KB Output is correct
41 Correct 221 ms 39996 KB Output is correct

Subtask #5
43.0 / 43.0

# 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 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 0 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 797 ms 115136 KB Output is correct
21 Correct 1181 ms 143392 KB Output is correct
22 Correct 790 ms 119952 KB Output is correct
23 Correct 648 ms 111064 KB Output is correct
24 Correct 686 ms 119524 KB Output is correct
25 Correct 923 ms 130204 KB Output is correct
26 Correct 962 ms 128456 KB Output is correct
27 Correct 1350 ms 165564 KB Output is correct
28 Correct 701 ms 91640 KB Output is correct
29 Correct 782 ms 86108 KB Output is correct
30 Correct 1208 ms 160536 KB Output is correct
31 Correct 480 ms 81448 KB Output is correct
32 Correct 353 ms 49188 KB Output is correct
33 Correct 229 ms 43416 KB Output is correct
34 Correct 222 ms 40644 KB Output is correct
35 Correct 368 ms 68940 KB Output is correct
36 Correct 13 ms 3912 KB Output is correct
37 Correct 166 ms 36432 KB Output is correct
38 Correct 199 ms 39268 KB Output is correct
39 Correct 212 ms 40236 KB Output is correct
40 Correct 371 ms 61192 KB Output is correct
41 Correct 200 ms 41172 KB Output is correct
42 Correct 235 ms 39884 KB Output is correct
43 Correct 19 ms 3284 KB Output is correct
44 Correct 1198 ms 182672 KB Output is correct
45 Correct 1486 ms 202204 KB Output is correct
46 Correct 1573 ms 215804 KB Output is correct
47 Correct 1643 ms 216624 KB Output is correct
48 Correct 1475 ms 201964 KB Output is correct
49 Correct 823 ms 114904 KB Output is correct
50 Correct 454 ms 58840 KB Output is correct
51 Correct 1347 ms 187604 KB Output is correct
52 Correct 364 ms 73996 KB Output is correct
53 Correct 34 ms 5264 KB Output is correct
54 Correct 1375 ms 207796 KB Output is correct
55 Correct 1672 ms 281720 KB Output is correct
56 Correct 2202 ms 287248 KB Output is correct
57 Correct 992 ms 123532 KB Output is correct
58 Correct 1526 ms 200484 KB Output is correct
59 Correct 1657 ms 220848 KB Output is correct
60 Correct 966 ms 123696 KB Output is correct
61 Correct 1508 ms 199504 KB Output is correct
62 Correct 1323 ms 178956 KB Output is correct
63 Correct 487 ms 70780 KB Output is correct
64 Correct 973 ms 180104 KB Output is correct
65 Correct 836 ms 150340 KB Output is correct
66 Correct 626 ms 92704 KB Output is correct
67 Correct 860 ms 143708 KB Output is correct
68 Correct 518 ms 68768 KB Output is correct
69 Correct 2122 ms 274920 KB Output is correct
70 Correct 1747 ms 278272 KB Output is correct
71 Correct 2075 ms 272104 KB Output is correct
72 Correct 1297 ms 173720 KB Output is correct
73 Correct 2028 ms 256100 KB Output is correct
74 Correct 277 ms 55144 KB Output is correct
75 Correct 293 ms 54888 KB Output is correct
76 Correct 373 ms 64360 KB Output is correct
77 Correct 630 ms 91616 KB Output is correct
78 Correct 363 ms 58068 KB Output is correct
79 Correct 197 ms 39304 KB Output is correct
80 Correct 199 ms 40260 KB Output is correct
81 Correct 397 ms 61128 KB Output is correct
82 Correct 201 ms 41224 KB Output is correct
83 Correct 221 ms 39996 KB Output is correct
84 Correct 29 ms 6308 KB Output is correct
85 Correct 1419 ms 211060 KB Output is correct
86 Correct 2259 ms 301140 KB Output is correct
87 Correct 101 ms 20844 KB Output is correct
88 Correct 541 ms 73456 KB Output is correct
89 Correct 92 ms 20864 KB Output is correct
90 Correct 18 ms 4544 KB Output is correct
91 Correct 4 ms 1108 KB Output is correct
92 Correct 68 ms 14060 KB Output is correct
93 Correct 1063 ms 148044 KB Output is correct
94 Correct 457 ms 70464 KB Output is correct
95 Correct 1063 ms 191776 KB Output is correct
96 Correct 861 ms 155092 KB Output is correct
97 Correct 593 ms 99672 KB Output is correct
98 Correct 859 ms 147220 KB Output is correct
99 Correct 2328 ms 300460 KB Output is correct
100 Correct 2176 ms 288504 KB Output is correct
101 Correct 2205 ms 282692 KB Output is correct
102 Correct 1294 ms 177496 KB Output is correct
103 Correct 288 ms 58156 KB Output is correct
104 Correct 314 ms 58084 KB Output is correct
105 Correct 380 ms 67396 KB Output is correct
106 Correct 365 ms 67132 KB Output is correct
107 Correct 369 ms 58388 KB Output is correct
108 Correct 122 ms 21600 KB Output is correct
109 Correct 1715 ms 223868 KB Output is correct
110 Correct 1431 ms 260680 KB Output is correct
111 Correct 1434 ms 259512 KB Output is correct
112 Correct 505 ms 84764 KB Output is correct
113 Correct 479 ms 73036 KB Output is correct