Submission #92056

# Submission time Handle Problem Language Result Execution time Memory
92056 2019-01-01T10:05:27 Z tincamatei Wiring (IOI17_wiring) C++14
100 / 100
58 ms 12208 KB
#include <bits/stdc++.h>
#include "wiring.h"

using namespace std;

const int MAX_N = 100000;
const long long INF = (1LL<<30) * MAX_N;

struct Range {
  int l, r, color;
  Range(int _l, int _r, int _color):l(_l), r(_r), color(_color) {}
};

vector<pair<int, int> > node;
vector<Range> ranges;
long long _dp[1+2*MAX_N], *dp = _dp + 1;
long long _sum[1+2*MAX_N], *sum = _sum + 1;

void initAll(int n) {
  for(int i = -1; i < n; ++i)
    dp[i] = sum[i] = 0;
  ranges.clear();
  node.clear();
}

void pushRange(int poz, int color, int x) {
  if(ranges.back().color == color)
    ranges.back().r = poz;
  else
    ranges.push_back(Range(poz, poz, color));
  node.push_back(make_pair(x, color));
}

void mergeNodes(const vector<int> &r, const vector<int> &b) {
  int i, j;
  i = j = 0;

  if(r[0] < b[0])
    ranges.push_back({0, 0, 1});
  else
    ranges.push_back({0, 0, 2});

  while(i < r.size() || j < b.size()) {
    if(j == b.size() || (j < b.size() && i < r.size() && r[i] < b[j])) {
      pushRange(i + j, 1, r[i]);
      ++i;
    } else {
      pushRange(i + j, 2, b[j]);
      ++j;
    }
  }

  for(int i = 0; i < node.size(); ++i)
    sum[i] = sum[i - 1] + node[i].first;
}

long long sumRange(int a, int b) {
  return sum[b] - sum[a - 1];
}

void initDp() {
  dp[-1] = 0;
  for(int i = ranges[0].l; i <= ranges[0].r; ++i)
    dp[i] = INF;
}

void doDp(int i) {
  int l, r;
  long long rgang = INF, lazy = 0LL, xdp = dp[ranges[i - 1].r];
  priority_queue<pair<long long, int>,
                 vector<pair<long long, int> >,
                 std::greater<pair<long long, int> > > lgang;

  l = ranges[i - 1].r;
  r = ranges[i].l;

  for(int j = ranges[i - 1].l; j <= ranges[i - 1].r; ++j)
    lgang.push(make_pair(dp[j - 1] - sumRange(j, ranges[i - 1].r) + (long long)(ranges[i - 1].r - j + 1) * node[ranges[i].l].first, j));
  while(r <= ranges[i].r) {
    if(l >= ranges[i - 1].l) {
      xdp = min(xdp, dp[l - 1]);
      rgang = min(xdp - sumRange(l, ranges[i - 1].r), rgang - node[ranges[i - 1].r].first);
    } else
      rgang -= node[ranges[i - 1].r].first;
    lazy -= node[ranges[i].l].first;

    while(!lgang.empty() && ranges[i - 1].r - lgang.top().second <= r - ranges[i].l)
      lgang.pop();

    dp[r] = rgang + sumRange(ranges[i].l, r);
    if(!lgang.empty())
      dp[r] = min(dp[r], lgang.top().first + sumRange(ranges[i].l, r) + lazy);
    --l;
    ++r;
  }
}

long long min_total_length(std::vector<int> r, std::vector<int> b) {
  initAll(r.size() + b.size());

  mergeNodes(r, b);
  initDp();

  for(int i = 1; i < ranges.size(); ++i)
    doDp(i);

  return dp[node.size() - 1];
}

Compilation message

wiring.cpp: In function 'void mergeNodes(const std::vector<int>&, const std::vector<int>&)':
wiring.cpp:43:11: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   while(i < r.size() || j < b.size()) {
         ~~^~~~~~~~~~
wiring.cpp:43:27: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   while(i < r.size() || j < b.size()) {
                         ~~^~~~~~~~~~
wiring.cpp:44:10: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     if(j == b.size() || (j < b.size() && i < r.size() && r[i] < b[j])) {
        ~~^~~~~~~~~~~
wiring.cpp:44:28: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     if(j == b.size() || (j < b.size() && i < r.size() && r[i] < b[j])) {
                          ~~^~~~~~~~~~
wiring.cpp:44:44: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     if(j == b.size() || (j < b.size() && i < r.size() && r[i] < b[j])) {
                                          ~~^~~~~~~~~~
wiring.cpp:53:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for(int i = 0; i < node.size(); ++i)
                  ~~^~~~~~~~~~~~~
wiring.cpp: In function 'long long int min_total_length(std::vector<int>, std::vector<int>)':
wiring.cpp:104:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for(int i = 1; i < ranges.size(); ++i)
                  ~~^~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 256 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 376 KB Output is correct
9 Correct 2 ms 376 KB Output is correct
10 Correct 2 ms 376 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 2 ms 504 KB Output is correct
13 Correct 2 ms 380 KB Output is correct
14 Correct 2 ms 376 KB Output is correct
15 Correct 2 ms 376 KB Output is correct
16 Correct 2 ms 376 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 36 ms 8428 KB Output is correct
4 Correct 34 ms 8424 KB Output is correct
5 Correct 36 ms 7016 KB Output is correct
6 Correct 50 ms 9960 KB Output is correct
7 Correct 43 ms 9964 KB Output is correct
8 Correct 51 ms 9960 KB Output is correct
9 Correct 52 ms 9960 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 52 ms 7944 KB Output is correct
4 Correct 50 ms 9328 KB Output is correct
5 Correct 2 ms 252 KB Output is correct
6 Correct 1 ms 376 KB Output is correct
7 Correct 2 ms 256 KB Output is correct
8 Correct 2 ms 376 KB Output is correct
9 Correct 2 ms 376 KB Output is correct
10 Correct 2 ms 256 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 2 ms 376 KB Output is correct
13 Correct 2 ms 376 KB Output is correct
14 Correct 2 ms 504 KB Output is correct
15 Correct 2 ms 376 KB Output is correct
16 Correct 2 ms 376 KB Output is correct
17 Correct 2 ms 376 KB Output is correct
18 Correct 52 ms 9636 KB Output is correct
19 Correct 53 ms 9636 KB Output is correct
20 Correct 55 ms 9840 KB Output is correct
21 Correct 53 ms 9640 KB Output is correct
22 Correct 53 ms 9636 KB Output is correct
23 Correct 52 ms 9640 KB Output is correct
24 Correct 53 ms 10224 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 256 KB Output is correct
2 Correct 43 ms 7532 KB Output is correct
3 Correct 42 ms 7788 KB Output is correct
4 Correct 41 ms 7660 KB Output is correct
5 Correct 44 ms 7788 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 376 KB Output is correct
9 Correct 2 ms 376 KB Output is correct
10 Correct 2 ms 376 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 2 ms 376 KB Output is correct
13 Correct 2 ms 376 KB Output is correct
14 Correct 2 ms 376 KB Output is correct
15 Correct 2 ms 376 KB Output is correct
16 Correct 2 ms 376 KB Output is correct
17 Correct 2 ms 376 KB Output is correct
18 Correct 47 ms 9600 KB Output is correct
19 Correct 46 ms 8460 KB Output is correct
20 Correct 45 ms 8556 KB Output is correct
21 Correct 46 ms 8680 KB Output is correct
22 Correct 44 ms 11144 KB Output is correct
23 Correct 40 ms 10984 KB Output is correct
24 Correct 45 ms 11020 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 256 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 376 KB Output is correct
9 Correct 2 ms 376 KB Output is correct
10 Correct 2 ms 376 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 2 ms 504 KB Output is correct
13 Correct 2 ms 380 KB Output is correct
14 Correct 2 ms 376 KB Output is correct
15 Correct 2 ms 376 KB Output is correct
16 Correct 2 ms 376 KB Output is correct
17 Correct 2 ms 376 KB Output is correct
18 Correct 2 ms 376 KB Output is correct
19 Correct 36 ms 8428 KB Output is correct
20 Correct 34 ms 8424 KB Output is correct
21 Correct 36 ms 7016 KB Output is correct
22 Correct 50 ms 9960 KB Output is correct
23 Correct 43 ms 9964 KB Output is correct
24 Correct 51 ms 9960 KB Output is correct
25 Correct 52 ms 9960 KB Output is correct
26 Correct 2 ms 376 KB Output is correct
27 Correct 2 ms 376 KB Output is correct
28 Correct 52 ms 7944 KB Output is correct
29 Correct 50 ms 9328 KB Output is correct
30 Correct 2 ms 252 KB Output is correct
31 Correct 1 ms 376 KB Output is correct
32 Correct 2 ms 256 KB Output is correct
33 Correct 2 ms 376 KB Output is correct
34 Correct 2 ms 376 KB Output is correct
35 Correct 2 ms 256 KB Output is correct
36 Correct 2 ms 376 KB Output is correct
37 Correct 2 ms 376 KB Output is correct
38 Correct 2 ms 376 KB Output is correct
39 Correct 2 ms 504 KB Output is correct
40 Correct 2 ms 376 KB Output is correct
41 Correct 2 ms 376 KB Output is correct
42 Correct 2 ms 376 KB Output is correct
43 Correct 52 ms 9636 KB Output is correct
44 Correct 53 ms 9636 KB Output is correct
45 Correct 55 ms 9840 KB Output is correct
46 Correct 53 ms 9640 KB Output is correct
47 Correct 53 ms 9636 KB Output is correct
48 Correct 52 ms 9640 KB Output is correct
49 Correct 53 ms 10224 KB Output is correct
50 Correct 1 ms 256 KB Output is correct
51 Correct 43 ms 7532 KB Output is correct
52 Correct 42 ms 7788 KB Output is correct
53 Correct 41 ms 7660 KB Output is correct
54 Correct 44 ms 7788 KB Output is correct
55 Correct 2 ms 376 KB Output is correct
56 Correct 2 ms 376 KB Output is correct
57 Correct 2 ms 376 KB Output is correct
58 Correct 2 ms 376 KB Output is correct
59 Correct 2 ms 376 KB Output is correct
60 Correct 2 ms 376 KB Output is correct
61 Correct 2 ms 376 KB Output is correct
62 Correct 2 ms 376 KB Output is correct
63 Correct 2 ms 376 KB Output is correct
64 Correct 2 ms 376 KB Output is correct
65 Correct 2 ms 376 KB Output is correct
66 Correct 2 ms 376 KB Output is correct
67 Correct 47 ms 9600 KB Output is correct
68 Correct 46 ms 8460 KB Output is correct
69 Correct 45 ms 8556 KB Output is correct
70 Correct 46 ms 8680 KB Output is correct
71 Correct 44 ms 11144 KB Output is correct
72 Correct 40 ms 10984 KB Output is correct
73 Correct 45 ms 11020 KB Output is correct
74 Correct 51 ms 11812 KB Output is correct
75 Correct 44 ms 10024 KB Output is correct
76 Correct 53 ms 11668 KB Output is correct
77 Correct 51 ms 10060 KB Output is correct
78 Correct 49 ms 11128 KB Output is correct
79 Correct 44 ms 9960 KB Output is correct
80 Correct 44 ms 10984 KB Output is correct
81 Correct 46 ms 11492 KB Output is correct
82 Correct 44 ms 11104 KB Output is correct
83 Correct 44 ms 11292 KB Output is correct
84 Correct 47 ms 11628 KB Output is correct
85 Correct 51 ms 10344 KB Output is correct
86 Correct 57 ms 11712 KB Output is correct
87 Correct 49 ms 11624 KB Output is correct
88 Correct 49 ms 10472 KB Output is correct
89 Correct 52 ms 10500 KB Output is correct
90 Correct 58 ms 10524 KB Output is correct
91 Correct 49 ms 11756 KB Output is correct
92 Correct 53 ms 11660 KB Output is correct
93 Correct 50 ms 11636 KB Output is correct
94 Correct 53 ms 11588 KB Output is correct
95 Correct 55 ms 10424 KB Output is correct
96 Correct 50 ms 11624 KB Output is correct
97 Correct 56 ms 12208 KB Output is correct
98 Correct 52 ms 11608 KB Output is correct
99 Correct 53 ms 11640 KB Output is correct
100 Correct 57 ms 11648 KB Output is correct
101 Correct 51 ms 11968 KB Output is correct
102 Correct 50 ms 11624 KB Output is correct