oj.uz

Submission #1106668

# Submission time Handle Problem Language Result Execution time Memory
1106668 2024-10-30T19:04:51 Z Ahmed57 Sphinx's Riddle (IOI24_sphinx) C++17
100 / 100
 566 ms 1716 KB 
#include <bits/stdc++.h>
#include "sphinx.h"
 
using namespace std;
int pr2[251];
int find2(int x){
    if(x==pr2[x])return x;
    return pr2[x] = find2(pr2[x]);  
}
void mergegroup2(int a,int b){
    a = find2(a);
    b = find2(b);
    if(a==b)return ;
    pr2[a] = b;
}
int pr[251];
vector<int> adjj[251],nadj[251];
int find(int x){
    if(x==pr[x])return x;
    return pr[x] = find(pr[x]);
}
bool mergegroup(int a,int b){
    a = find(a);
    b = find(b);
    if(a==b)return 0;
    pr[a] = b;
    return 1;
}
vector<int> even,odd;
int VIS[251];
void dfs(int i,int dep){
    VIS[i] =1 ;
    if(dep)even.push_back(i);
    else odd.push_back(i);
    for(auto j:nadj[i]){
        if(!VIS[j])dfs(j,dep^1);
    }
}
vector<int> find_colours(int n,vector<int> X,vector<int> Y){
    for(int i = 0;i<X.size();i++){
        adjj[X[i]].push_back(Y[i]);
        adjj[Y[i]].push_back(X[i]);
    }
    int d = 0;
    for(int i = 0;i<n;i++){
        pr2[i] = i;
    }
    for(int i = n-1;i>=0;i--){
        int ans = 0;
        while(ans!=-1){
        vector<int> v;
        int vis[n] = {0};
        for(auto j:adjj[i]){
            if(j>i&&vis[find2(j)]==0&&find2(j)!=find2(i)){
                v.push_back(j);
                vis[find2(j)] = 1;
            }
        }
        int sz = v.size();
        int l = 0 , r = sz-1;
        ans = -1;
        int ss = 0;
        while(l<=r){
            int mid = 0;
            if(ss==0){
                mid = r;
                ss = 1;
            }else if(ss==1){
                ss = 2;
                l = 0 , r = sz-1;
                mid = (l+r)/2;
            }else{
                mid = (l+r)/2;
            }
            vector<int> e(n,n);
            e[i] = -1;
            for(int j = 0;j<=mid;j++){
                e[v[j]] = -1;
            }
            int cnt = 0;
            for(int j = 0;j<n;j++){
                if(e[j]==-1){
                    pr[j] = j;cnt++;
                }else {
                    pr[j] = j;cnt++;
                }
            }
            for(int j = 0;j<X.size();j++){
                if(e[X[j]]==-1&&e[Y[j]]==-1){
                    if(X[j]==i||Y[j]==i)continue;
                    if(find2(X[j])==find2(Y[j]))cnt-=mergegroup(X[j],Y[j]);
                }else if(e[X[j]]==n&&e[Y[j]]==n){
                    cnt-=mergegroup(X[j],Y[j]);
                }
            }
            if(cnt==perform_experiment(e)){
                l = mid+1;
            }else {
                ans = mid;
                r = mid-1;
            }
        }
        if(ans!=-1){
            mergegroup2(i,v[ans]);
        }
        }
    }
    vector<int> V[n];
    for(int i = 0;i<n;i++){
        V[find2(i)].push_back(i);
    }
    for(int i = 0;i<X.size();i++){
        if(find2(X[i])!=find2(Y[i])){
            nadj[find2(X[i])].push_back(find2(Y[i]));
            nadj[find2(Y[i])].push_back(find2(X[i]));
        }
    }
    dfs(find2(0),0);
    if(even.size()+odd.size()==1){
        for(int i = 0;i<n;i++){
            vector<int> e(n,i);
            e[0] = -1;
            if(perform_experiment(e)==1){
                vector<int> na(n,i);
                return na;
            }
        }
    }
    int in[n] = {0};
    for(int i = 0;i<n;i++){
        {
            vector<int> lol;
            for(auto j:even){
                if(in[j]==0){
                    lol.push_back(j);
                }
            }
            int ans = 0;
            while(ans!=-1){
                int sz = lol.size();
                int l = ans , r = sz-1;
                int org = ans;
                ans = -1;
                int ss = 0;
                while(l<=r){
                    int mid = 0;
                    if(ss==0){
                        mid = r;
                        ss = 1;
                    }else if(ss==1){
                        ss = 2;
                        l = org , r = sz-1;
                        mid = (l+r)/2;
                    }else{
                        mid = (l+r)/2;
                    }
                    vector<int> e(n,i);
                    int cnt = 0;
                    for(int j = 0;j<n;j++){
                        if(e[j]==-1){
                            pr[j] = j;cnt++;
                        }else {
                            pr[j] = j;cnt++;
                        }
                    }
                    for(int j = org;j<=mid;j++){
                        for(auto w:V[lol[j]]){
                            e[w] = -1;
                        }
                    }
                    for(int j = 0;j<X.size();j++){
                        if(e[X[j]]==-1&&e[Y[j]]==-1){
                            if(find2(X[j])==find2(Y[j]))cnt-=mergegroup(X[j],Y[j]);
                        }else if(e[X[j]]==i&&e[Y[j]]==i){
                            cnt-=mergegroup(X[j],Y[j]);
                        }
                    }
                    if(cnt==perform_experiment(e)){
                        l = mid+1;
                    }else {
                        ans = mid;
                        r = mid-1;
                    }
                }
                if(ans==-1){
                    break;
                }
                in[lol[ans]] = i+1;
                ans++;
            }
        }
        swap(even,odd);
        {
            vector<int> lol;
            for(auto j:even){
                if(in[j]==0){
                    lol.push_back(j);
                }
            }
            int ans = 0;
            while(ans!=-1){
                int sz = lol.size();
                int l = ans , r = sz-1;
                int org = ans;
                ans = -1;
                int ss = 0;
                while(l<=r){
                    int mid = 0;
                    if(ss==0){
                        mid = r;
                        ss = 1;
                    }else if(ss==1){
                        ss = 2;
                        l = org , r = sz-1;
                        mid = (l+r)/2;
                    }else{
                        mid = (l+r)/2;
                    }
                    vector<int> e(n,i);
                    int cnt = 0;
                    for(int j = 0;j<n;j++){
                        if(e[j]==-1){
                            pr[j] = j;cnt++;
                        }else {
                            pr[j] = j;cnt++;
                        }
                    }
                    for(int j = org;j<=mid;j++){
                        for(auto w:V[lol[j]]){
                            e[w] = -1;
                        }
                    }
                    for(int j = 0;j<X.size();j++){
                        if(e[X[j]]==-1&&e[Y[j]]==-1){
                            if(find2(X[j])==find2(Y[j]))cnt-=mergegroup(X[j],Y[j]);
                        }else if(e[X[j]]==i&&e[Y[j]]==i){
                            cnt-=mergegroup(X[j],Y[j]);
                        }
                    }
                    if(cnt==perform_experiment(e)){
                        l = mid+1;
                    }else {
                        ans = mid;
                        r = mid-1;
                    }
                }
                if(ans==-1){
                    break;
                }
                in[lol[ans]] = i+1;
                ans++;
            }
        }
    }
    vector<int> col(n,0);
    for(int i = 0;i<n;i++){
        col[i] = in[find2(i)]-1;
    }
    return col;
}

Compilation message

sphinx.cpp: In function 'std::vector<int> find_colours(int, std::vector<int>, std::vector<int>)':
sphinx.cpp:40:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   40 |     for(int i = 0;i<X.size();i++){
      |                   ~^~~~~~~~~
sphinx.cpp:88:28: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   88 |             for(int j = 0;j<X.size();j++){
      |                           ~^~~~~~~~~
sphinx.cpp:112:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  112 |     for(int i = 0;i<X.size();i++){
      |                   ~^~~~~~~~~
sphinx.cpp:171:36: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  171 |                     for(int j = 0;j<X.size();j++){
      |                                   ~^~~~~~~~~
sphinx.cpp:233:36: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  233 |                     for(int j = 0;j<X.size();j++){
      |                                   ~^~~~~~~~~
sphinx.cpp:44:9: warning: unused variable 'd' [-Wunused-variable]
   44 |     int d = 0;
      |         ^

Subtask #0
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB #experiments: 8

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB #experiments: 2
2 Correct 1 ms 336 KB #experiments: 4
3 Correct 1 ms 336 KB #experiments: 4
4 Correct 1 ms 336 KB #experiments: 3

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB #experiments: 8
2 Correct 1 ms 336 KB #experiments: 2
3 Correct 1 ms 336 KB #experiments: 4
4 Correct 1 ms 336 KB #experiments: 4
5 Correct 1 ms 336 KB #experiments: 3
6 Correct 2 ms 336 KB #experiments: 74
7 Correct 2 ms 336 KB #experiments: 104
8 Correct 2 ms 336 KB #experiments: 147
9 Correct 2 ms 336 KB #experiments: 139
10 Correct 2 ms 336 KB #experiments: 154
11 Correct 3 ms 508 KB #experiments: 190
12 Correct 4 ms 336 KB #experiments: 353
13 Correct 4 ms 336 KB #experiments: 364
14 Correct 2 ms 336 KB #experiments: 64
15 Correct 5 ms 592 KB #experiments: 275
16 Correct 5 ms 336 KB #experiments: 312
17 Correct 6 ms 336 KB #experiments: 328
18 Correct 9 ms 500 KB #experiments: 362
19 Correct 6 ms 336 KB #experiments: 355
20 Correct 6 ms 336 KB #experiments: 362
21 Correct 6 ms 336 KB #experiments: 364
22 Correct 4 ms 336 KB #experiments: 245
23 Correct 5 ms 336 KB #experiments: 244
24 Correct 6 ms 336 KB #experiments: 261
25 Correct 5 ms 336 KB #experiments: 307
26 Correct 3 ms 336 KB #experiments: 249
27 Correct 5 ms 336 KB #experiments: 300
28 Correct 4 ms 336 KB #experiments: 333
29 Correct 4 ms 336 KB #experiments: 279
30 Correct 6 ms 336 KB #experiments: 344
31 Correct 6 ms 336 KB #experiments: 336
32 Correct 7 ms 496 KB #experiments: 358
33 Correct 2 ms 336 KB #experiments: 83
34 Correct 8 ms 336 KB #experiments: 365

Subtask #3
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB #experiments: 2
2 Correct 1 ms 336 KB #experiments: 4
3 Correct 1 ms 336 KB #experiments: 4
4 Correct 1 ms 336 KB #experiments: 3
5 Correct 2 ms 336 KB #experiments: 74
6 Correct 2 ms 336 KB #experiments: 104
7 Correct 2 ms 336 KB #experiments: 147
8 Correct 2 ms 336 KB #experiments: 139
9 Correct 2 ms 336 KB #experiments: 154
10 Correct 3 ms 508 KB #experiments: 190
11 Correct 4 ms 336 KB #experiments: 353
12 Correct 4 ms 336 KB #experiments: 364
13 Correct 8 ms 336 KB #experiments: 368
14 Correct 16 ms 468 KB #experiments: 710
15 Correct 23 ms 336 KB #experiments: 701
16 Correct 15 ms 336 KB #experiments: 724
17 Correct 22 ms 468 KB #experiments: 916
18 Correct 31 ms 592 KB #experiments: 1277
19 Correct 40 ms 504 KB #experiments: 1974
20 Correct 9 ms 336 KB #experiments: 383
21 Correct 53 ms 336 KB #experiments: 2390

Subtask #4
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB #experiments: 2
2 Correct 1 ms 336 KB #experiments: 4
3 Correct 1 ms 336 KB #experiments: 4
4 Correct 1 ms 336 KB #experiments: 3
5 Correct 2 ms 336 KB #experiments: 64
6 Correct 5 ms 592 KB #experiments: 275
7 Correct 5 ms 336 KB #experiments: 312
8 Correct 6 ms 336 KB #experiments: 328
9 Correct 9 ms 500 KB #experiments: 362
10 Correct 6 ms 336 KB #experiments: 355
11 Correct 6 ms 336 KB #experiments: 362
12 Correct 6 ms 336 KB #experiments: 364
13 Correct 202 ms 1204 KB #experiments: 1174
14 Correct 258 ms 1456 KB #experiments: 1649
15 Correct 297 ms 1612 KB #experiments: 1862
16 Correct 347 ms 1584 KB #experiments: 2132
17 Correct 358 ms 1576 KB #experiments: 2293
18 Correct 343 ms 1716 KB #experiments: 2374
19 Correct 338 ms 1352 KB #experiments: 2399
20 Correct 44 ms 1104 KB #experiments: 309
21 Correct 340 ms 1352 KB #experiments: 2403

Subtask #5
36.0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB #experiments: 8
2 Correct 1 ms 336 KB #experiments: 2
3 Correct 1 ms 336 KB #experiments: 4
4 Correct 1 ms 336 KB #experiments: 4
5 Correct 1 ms 336 KB #experiments: 3
6 Correct 2 ms 336 KB #experiments: 74
7 Correct 2 ms 336 KB #experiments: 104
8 Correct 2 ms 336 KB #experiments: 147
9 Correct 2 ms 336 KB #experiments: 139
10 Correct 2 ms 336 KB #experiments: 154
11 Correct 3 ms 508 KB #experiments: 190
12 Correct 4 ms 336 KB #experiments: 353
13 Correct 4 ms 336 KB #experiments: 364
14 Correct 2 ms 336 KB #experiments: 64
15 Correct 5 ms 592 KB #experiments: 275
16 Correct 5 ms 336 KB #experiments: 312
17 Correct 6 ms 336 KB #experiments: 328
18 Correct 9 ms 500 KB #experiments: 362
19 Correct 6 ms 336 KB #experiments: 355
20 Correct 6 ms 336 KB #experiments: 362
21 Correct 6 ms 336 KB #experiments: 364
22 Correct 4 ms 336 KB #experiments: 245
23 Correct 5 ms 336 KB #experiments: 244
24 Correct 6 ms 336 KB #experiments: 261
25 Correct 5 ms 336 KB #experiments: 307
26 Correct 3 ms 336 KB #experiments: 249
27 Correct 5 ms 336 KB #experiments: 300
28 Correct 4 ms 336 KB #experiments: 333
29 Correct 4 ms 336 KB #experiments: 279
30 Correct 6 ms 336 KB #experiments: 344
31 Correct 6 ms 336 KB #experiments: 336
32 Correct 7 ms 496 KB #experiments: 358
33 Correct 2 ms 336 KB #experiments: 83
34 Correct 8 ms 336 KB #experiments: 365
35 Correct 8 ms 336 KB #experiments: 368
36 Correct 16 ms 468 KB #experiments: 710
37 Correct 23 ms 336 KB #experiments: 701
38 Correct 15 ms 336 KB #experiments: 724
39 Correct 22 ms 468 KB #experiments: 916
40 Correct 31 ms 592 KB #experiments: 1277
41 Correct 40 ms 504 KB #experiments: 1974
42 Correct 9 ms 336 KB #experiments: 383
43 Correct 53 ms 336 KB #experiments: 2390
44 Correct 202 ms 1204 KB #experiments: 1174
45 Correct 258 ms 1456 KB #experiments: 1649
46 Correct 297 ms 1612 KB #experiments: 1862
47 Correct 347 ms 1584 KB #experiments: 2132
48 Correct 358 ms 1576 KB #experiments: 2293
49 Correct 343 ms 1716 KB #experiments: 2374
50 Correct 338 ms 1352 KB #experiments: 2399
51 Correct 44 ms 1104 KB #experiments: 309
52 Correct 340 ms 1352 KB #experiments: 2403
53 Correct 66 ms 500 KB #experiments: 1878
54 Correct 73 ms 544 KB #experiments: 1810
55 Correct 87 ms 552 KB #experiments: 1838
56 Correct 81 ms 572 KB #experiments: 1786
57 Correct 156 ms 808 KB #experiments: 1685
58 Correct 164 ms 788 KB #experiments: 1819
59 Correct 160 ms 788 KB #experiments: 1683
60 Correct 199 ms 840 KB #experiments: 2115
61 Correct 43 ms 472 KB #experiments: 1859
62 Correct 59 ms 336 KB #experiments: 2043
63 Correct 56 ms 336 KB #experiments: 2271
64 Correct 67 ms 336 KB #experiments: 1727
65 Correct 72 ms 528 KB #experiments: 1814
66 Correct 90 ms 548 KB #experiments: 1829
67 Correct 88 ms 552 KB #experiments: 1924
68 Correct 89 ms 588 KB #experiments: 1881
69 Correct 86 ms 584 KB #experiments: 1888
70 Correct 87 ms 568 KB #experiments: 1902
71 Correct 99 ms 564 KB #experiments: 1801
72 Correct 70 ms 512 KB #experiments: 1939
73 Correct 61 ms 336 KB #experiments: 1815
74 Correct 98 ms 520 KB #experiments: 1920
75 Correct 90 ms 544 KB #experiments: 1732
76 Correct 86 ms 556 KB #experiments: 1875
77 Correct 76 ms 596 KB #experiments: 1765
78 Correct 86 ms 592 KB #experiments: 1798
79 Correct 85 ms 596 KB #experiments: 1750
80 Correct 109 ms 592 KB #experiments: 1835
81 Correct 97 ms 596 KB #experiments: 1921
82 Correct 146 ms 628 KB #experiments: 2312
83 Correct 322 ms 1320 KB #experiments: 2019
84 Correct 566 ms 1444 KB #experiments: 2381
85 Correct 21 ms 648 KB #experiments: 470
86 Correct 236 ms 752 KB #experiments: 2397