oj.uz

Submission #333569

# Submission time Handle Problem Language Result Execution time Memory
333569 2020-12-07T05:03:27 Z gmyu Toll (BOI17_toll) C++14
100 / 100
 625 ms 184940 KB 
/*
ID: USACO_template
LANG: C++
PROG: USACO
*/
#include <iostream>  //cin , cout
#include <fstream>   //fin, fout
#include <stdio.h>   // scanf , pringf
#include <cstdio>
#include <algorithm> // sort , stuff
#include <stack>     // stacks
#include <queue>     // queues
#include <map>
#include <string>

using namespace std;

typedef pair<int, int>          pii;
typedef vector<int>             vi;     /// adjlist without weight
typedef vector<pii>             vii;    /// adjlist with weight
typedef vector<pair<int,pii>>   vpip;   /// edge with weight
typedef long long               ll;

#define mp  make_pair
#define fst first
#define snd second
#define pb  push_back
#define trav(u, adj_v) for (auto& u: adj_v)

const int MOD = 1e9+7;  // 998244353;
const int MX  = 2e5+5;   //
const ll  INF = 1e18;    //

#define MAXV 50007
#define MAXE 100007


/// code from USACO examples
void setIO(string name) {
    ios_base::sync_with_stdio(0); cin.tie(0);
    freopen((name+".in").c_str(),"r",stdin);
    freopen((name+".out").c_str(),"w",stdout);
}
bool debug = false, submit = true;

int K, N, M, O;
vi PointsInLayer[MAXV];
map<int, int> adjmap[MAXV];

/**
* RMQ use sparse table, O(N log N) memory and setip, O(1) query
* https://usaco.guide/plat/DC-SRQ
* example problem: https://oj.uz/problem/view/JOI14_secret
*/
int rmqN, rmqRange[2];
//int rmqX[MAXV];
ll rmq[18][5][MAXV][5];      /// 18 = ceil(log2(n))

void SecretLeft(int lev, int ly1, int ly2, int lym) {
    if(PointsInLayer[ly1].size() == 0 ||  PointsInLayer[ly2].size() == 0 || PointsInLayer[lym].size() == 0 ) return;
    for(int k=0; k < PointsInLayer[ly2].size(); k++) {
        for(int i=0; i < PointsInLayer[ly1].size(); i++) {    /// assume no layer is empty (otherwise no way to go from front to end
            for(int j=0; j < PointsInLayer[lym].size(); j++) {
                ll w = INF;
                int a = PointsInLayer[ly1][i], b = PointsInLayer[ly2][k];
                if(adjmap[a].find(b) != adjmap[a].end()) w = adjmap[a][b];
                rmq[lev][j][ly1][i] = min(rmq[lev][j][ly1][i], w + rmq[lev][j][ly2][k]);
            }
        }
    }
}
void SecretRight(int lev, int lym, int ly2, int ly1) {
    if(PointsInLayer[ly1].size() == 0 ||  PointsInLayer[ly2].size() == 0 || PointsInLayer[lym].size() == 0 ) return;
    for(int k=0; k < PointsInLayer[ly2].size(); k++) {
        for(int i=0; i < PointsInLayer[ly1].size(); i++) {    /// assume no layer is empty (otherwise no way to go from front to end
            for(int j=0; j < PointsInLayer[lym].size(); j++) {
                ll w = INF;
                int a = PointsInLayer[ly2][k], b = PointsInLayer[ly1][i];
                if(adjmap[a].find(b) != adjmap[a].end()) w = adjmap[a][b];
                rmq[lev][j][ly1][i] = min(rmq[lev][j][ly1][i], rmq[lev][j][ly2][k] + w);
            }
        }
    }
}
void divi(int l = rmqRange[0], int r = rmqRange[1], int lev = 0) { // generate dat and mask
    if(debug) cout << " build " << l << "," << r << endl;
    if (l >= r) { return; }
    int m = (l+r)/2;
    if(PointsInLayer[m].size() >0) {
        for(int i=0; i < PointsInLayer[m].size(); i++) rmq[lev][i][m][i] = 0;
        for(int i = m-1; i >= l; i--) SecretLeft(lev, i, i+1, m);
        for(int i = m+1; i <= r; i++) SecretRight(lev, m, i-1, i);
    }

    divi(l,m,lev+1); divi(m+1,r,lev+1);
}
ll SecretComb(int lev, int lym, int ly1, int ly2, int x1, int x2) {
    if(debug) cout << " .. combine " << ly1 << " " << ly2 << endl;
    if(PointsInLayer[lym].size() == 0) return INF;
    ll ans = INF;
    for(int i=0; i < PointsInLayer[lym].size(); i++) {
        int a = PointsInLayer[lym][i];
        ans = min(ans, rmq[lev][i][ly1][x1] + rmq[lev][i][ly2][x2]);
        if(debug) cout << " ...  cal point " << rmq[lev][i][ly1][x1] << " + " << rmq[lev][i][ly2][x2] << " = " << ans << endl;
    }
    return ans;
}
ll que(int ql, int qr, int x1, int x2, int lev = 0, int l = rmqRange[0], int r = rmqRange[1]) {         /// [ , ]
    if(debug) cout << " que " << ql << "," << qr << " within " << l << "," << r << endl;
    if(l == r) return INF;
    int m = (l+r)/2;
    if(ql <= m && m <= qr) return SecretComb(lev, m, ql, qr, x1, x2);
    if(qr <= m) return que(ql, qr, x1, x2, lev+1, l, m);
    else return que(ql, qr, x1, x2, lev+1, m+1, r);
}
void Init() {
    for(int i=0; i<18; i++)
        for(int j=0; j<5; j++)
            for(int k=0; k<= rmqRange[1]; k++)
                for(int l=0; l<5; l++)
                    rmq[i][j][k][l] = INF;
    divi();
}

void insertLayer (int x) {
    int ly = (int)(x/K);
    bool visited = false;
    for(int i = 0; !visited && (i < PointsInLayer[ly].size() ); i++) {
        if(PointsInLayer[ly][i] == x) visited = true;
    }
    if(!visited) PointsInLayer[ly].pb(x);
    //rmqRange[0] = min(rmqRange[0], ly); rmqRange[1] = max(rmqRange[1], ly);
}

int main() {
    debug = false; submit = false;
    if(submit) setIO("testName");

    int i, j, k;

    cin >> K >> N >> M >> O ;
    rmqRange[0] = 0; rmqRange[1] = (int)((N-1)/K);
    for(i=0; i<M; i++) {
        int a, b, c; cin >> a >> b >> c;
        adjmap[a][b] = c;
        insertLayer(a); insertLayer(b);
    }
    Init();

    for(i=0; i<O; i++) {
        int a, b; cin >> a >> b;
        int ly1 = (int)(a/K), ly2 = (int)(b/K);
        int x1 = -1 , x2 = -1;
        for(j=0; j<PointsInLayer[ly1].size(); j++) if(PointsInLayer[ly1][j] == a) x1 = j;
        for(j=0; j<PointsInLayer[ly2].size(); j++) if(PointsInLayer[ly2][j] == b) x2 = j;
        if(ly1 >= ly2 || x1 == -1 || x2 == -1) {
            cout << -1 << endl;
            continue;
        }
        ll ans = que(ly1, ly2, x1, x2);
        if(ans >= INF) ans = -1;
        cout << ans << endl;
    }

}

Compilation message

toll.cpp: In function 'void SecretLeft(int, int, int, int)':
toll.cpp:61:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   61 |     for(int k=0; k < PointsInLayer[ly2].size(); k++) {
      |                  ~~^~~~~~~~~~~~~~~~~~~~~~~~~~~
toll.cpp:62:24: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   62 |         for(int i=0; i < PointsInLayer[ly1].size(); i++) {    /// assume no layer is empty (otherwise no way to go from front to end
      |                      ~~^~~~~~~~~~~~~~~~~~~~~~~~~~~
toll.cpp:63:28: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   63 |             for(int j=0; j < PointsInLayer[lym].size(); j++) {
      |                          ~~^~~~~~~~~~~~~~~~~~~~~~~~~~~
toll.cpp: In function 'void SecretRight(int, int, int, int)':
toll.cpp:74:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   74 |     for(int k=0; k < PointsInLayer[ly2].size(); k++) {
      |                  ~~^~~~~~~~~~~~~~~~~~~~~~~~~~~
toll.cpp:75:24: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   75 |         for(int i=0; i < PointsInLayer[ly1].size(); i++) {    /// assume no layer is empty (otherwise no way to go from front to end
      |                      ~~^~~~~~~~~~~~~~~~~~~~~~~~~~~
toll.cpp:76:28: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   76 |             for(int j=0; j < PointsInLayer[lym].size(); j++) {
      |                          ~~^~~~~~~~~~~~~~~~~~~~~~~~~~~
toll.cpp: In function 'void divi(int, int, int)':
toll.cpp:90:24: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   90 |         for(int i=0; i < PointsInLayer[m].size(); i++) rmq[lev][i][m][i] = 0;
      |                      ~~^~~~~~~~~~~~~~~~~~~~~~~~~
toll.cpp: In function 'll SecretComb(int, int, int, int, int, int)':
toll.cpp:101:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  101 |     for(int i=0; i < PointsInLayer[lym].size(); i++) {
      |                  ~~^~~~~~~~~~~~~~~~~~~~~~~~~~~
toll.cpp:102:13: warning: unused variable 'a' [-Wunused-variable]
  102 |         int a = PointsInLayer[lym][i];
      |             ^
toll.cpp: In function 'void insertLayer(int)':
toll.cpp:128:35: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  128 |     for(int i = 0; !visited && (i < PointsInLayer[ly].size() ); i++) {
      |                                 ~~^~~~~~~~~~~~~~~~~~~~~~~~~~
toll.cpp: In function 'int main()':
toll.cpp:154:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  154 |         for(j=0; j<PointsInLayer[ly1].size(); j++) if(PointsInLayer[ly1][j] == a) x1 = j;
      |                  ~^~~~~~~~~~~~~~~~~~~~~~~~~~
toll.cpp:155:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  155 |         for(j=0; j<PointsInLayer[ly2].size(); j++) if(PointsInLayer[ly2][j] == b) x2 = j;
      |                  ~^~~~~~~~~~~~~~~~~~~~~~~~~~
toll.cpp:139:15: warning: unused variable 'k' [-Wunused-variable]
  139 |     int i, j, k;
      |               ^
toll.cpp: In function 'void setIO(std::string)':
toll.cpp:41:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
   41 |     freopen((name+".in").c_str(),"r",stdin);
      |     ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
toll.cpp:42:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
   42 |     freopen((name+".out").c_str(),"w",stdout);
      |     ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 221 ms 184172 KB Output is correct
2 Correct 3 ms 4588 KB Output is correct
3 Correct 3 ms 4588 KB Output is correct
4 Correct 3 ms 4588 KB Output is correct
5 Correct 10 ms 8172 KB Output is correct
6 Correct 9 ms 8172 KB Output is correct
7 Correct 10 ms 8172 KB Output is correct
8 Correct 222 ms 184940 KB Output is correct
9 Correct 221 ms 184684 KB Output is correct
10 Correct 123 ms 180076 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 291 ms 97820 KB Output is correct
2 Correct 3 ms 4588 KB Output is correct
3 Correct 3 ms 4588 KB Output is correct
4 Correct 3 ms 4588 KB Output is correct
5 Correct 3 ms 4588 KB Output is correct
6 Correct 3 ms 4588 KB Output is correct
7 Correct 34 ms 8272 KB Output is correct
8 Correct 35 ms 6636 KB Output is correct
9 Correct 222 ms 184812 KB Output is correct
10 Correct 401 ms 70636 KB Output is correct
11 Correct 298 ms 98668 KB Output is correct
12 Correct 265 ms 67692 KB Output is correct
13 Correct 454 ms 33644 KB Output is correct
14 Correct 213 ms 44780 KB Output is correct
15 Correct 248 ms 30060 KB Output is correct
16 Correct 253 ms 30060 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 4588 KB Output is correct
2 Correct 3 ms 4588 KB Output is correct
3 Correct 3 ms 4588 KB Output is correct
4 Correct 3 ms 4588 KB Output is correct
5 Correct 3 ms 4588 KB Output is correct
6 Correct 7 ms 8172 KB Output is correct
7 Correct 7 ms 6380 KB Output is correct
8 Correct 11 ms 5484 KB Output is correct
9 Correct 13 ms 5612 KB Output is correct
10 Correct 187 ms 184172 KB Output is correct
11 Correct 251 ms 98284 KB Output is correct
12 Correct 369 ms 70400 KB Output is correct
13 Correct 391 ms 71148 KB Output is correct
14 Correct 316 ms 69392 KB Output is correct
15 Correct 237 ms 29932 KB Output is correct
16 Correct 252 ms 30060 KB Output is correct

Subtask #4
31.0 / 31.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 4588 KB Output is correct
2 Correct 3 ms 4588 KB Output is correct
3 Correct 3 ms 4588 KB Output is correct
4 Correct 3 ms 4588 KB Output is correct
5 Correct 3 ms 4588 KB Output is correct
6 Correct 7 ms 8172 KB Output is correct
7 Correct 7 ms 6380 KB Output is correct
8 Correct 11 ms 5484 KB Output is correct
9 Correct 13 ms 5612 KB Output is correct
10 Correct 187 ms 184172 KB Output is correct
11 Correct 251 ms 98284 KB Output is correct
12 Correct 369 ms 70400 KB Output is correct
13 Correct 391 ms 71148 KB Output is correct
14 Correct 316 ms 69392 KB Output is correct
15 Correct 237 ms 29932 KB Output is correct
16 Correct 252 ms 30060 KB Output is correct
17 Correct 271 ms 98116 KB Output is correct
18 Correct 3 ms 4588 KB Output is correct
19 Correct 3 ms 4588 KB Output is correct
20 Correct 3 ms 4588 KB Output is correct
21 Correct 3 ms 4588 KB Output is correct
22 Correct 3 ms 4588 KB Output is correct
23 Correct 15 ms 8172 KB Output is correct
24 Correct 16 ms 6508 KB Output is correct
25 Correct 19 ms 5484 KB Output is correct
26 Correct 17 ms 5612 KB Output is correct
27 Correct 200 ms 184044 KB Output is correct
28 Correct 385 ms 70252 KB Output is correct
29 Correct 412 ms 71148 KB Output is correct
30 Correct 336 ms 69376 KB Output is correct

Subtask #5
44.0 / 44.0

# Verdict Execution time Memory Grader output
1 Correct 221 ms 184172 KB Output is correct
2 Correct 3 ms 4588 KB Output is correct
3 Correct 3 ms 4588 KB Output is correct
4 Correct 3 ms 4588 KB Output is correct
5 Correct 10 ms 8172 KB Output is correct
6 Correct 9 ms 8172 KB Output is correct
7 Correct 10 ms 8172 KB Output is correct
8 Correct 222 ms 184940 KB Output is correct
9 Correct 221 ms 184684 KB Output is correct
10 Correct 123 ms 180076 KB Output is correct
11 Correct 291 ms 97820 KB Output is correct
12 Correct 3 ms 4588 KB Output is correct
13 Correct 3 ms 4588 KB Output is correct
14 Correct 3 ms 4588 KB Output is correct
15 Correct 3 ms 4588 KB Output is correct
16 Correct 3 ms 4588 KB Output is correct
17 Correct 34 ms 8272 KB Output is correct
18 Correct 35 ms 6636 KB Output is correct
19 Correct 222 ms 184812 KB Output is correct
20 Correct 401 ms 70636 KB Output is correct
21 Correct 298 ms 98668 KB Output is correct
22 Correct 265 ms 67692 KB Output is correct
23 Correct 454 ms 33644 KB Output is correct
24 Correct 213 ms 44780 KB Output is correct
25 Correct 248 ms 30060 KB Output is correct
26 Correct 253 ms 30060 KB Output is correct
27 Correct 4 ms 4588 KB Output is correct
28 Correct 3 ms 4588 KB Output is correct
29 Correct 3 ms 4588 KB Output is correct
30 Correct 3 ms 4588 KB Output is correct
31 Correct 3 ms 4588 KB Output is correct
32 Correct 7 ms 8172 KB Output is correct
33 Correct 7 ms 6380 KB Output is correct
34 Correct 11 ms 5484 KB Output is correct
35 Correct 13 ms 5612 KB Output is correct
36 Correct 187 ms 184172 KB Output is correct
37 Correct 251 ms 98284 KB Output is correct
38 Correct 369 ms 70400 KB Output is correct
39 Correct 391 ms 71148 KB Output is correct
40 Correct 316 ms 69392 KB Output is correct
41 Correct 237 ms 29932 KB Output is correct
42 Correct 252 ms 30060 KB Output is correct
43 Correct 271 ms 98116 KB Output is correct
44 Correct 3 ms 4588 KB Output is correct
45 Correct 3 ms 4588 KB Output is correct
46 Correct 3 ms 4588 KB Output is correct
47 Correct 3 ms 4588 KB Output is correct
48 Correct 3 ms 4588 KB Output is correct
49 Correct 15 ms 8172 KB Output is correct
50 Correct 16 ms 6508 KB Output is correct
51 Correct 19 ms 5484 KB Output is correct
52 Correct 17 ms 5612 KB Output is correct
53 Correct 200 ms 184044 KB Output is correct
54 Correct 385 ms 70252 KB Output is correct
55 Correct 412 ms 71148 KB Output is correct
56 Correct 336 ms 69376 KB Output is correct
57 Correct 625 ms 58492 KB Output is correct
58 Correct 222 ms 184172 KB Output is correct
59 Correct 295 ms 98284 KB Output is correct