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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#326884#7612. Matrix InversePentagonalRE 565ms66720kbC++1710.3kb2024-02-14 12:31:432024-02-14 12:31:44

Judging History

你现在查看的是最新测评结果

  • [2024-02-14 12:31:44]
  • 评测
  • 测评结果:RE
  • 用时:565ms
  • 内存:66720kb
  • [2024-02-14 12:31:43]
  • 提交

answer

// #pragma GCC target("avx2")
#pragma GCC optimization ("O3")
#pragma GCC optimization ("unroll-loops")
#pragma GCC optimization ("Ofast")
//#pragma GCC -Wnarrowing

//Template {
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <chrono>
using namespace std;
using namespace __gnu_pbds;
 
//IO templates
//Note: use endl only for interactive problems or to debug segfaults; use newl for other problems
#define newl "\n"
#define fastIO ios::sync_with_stdio(false); cin.tie(nullptr)
#define fileIO(x) ifstream fin((str) x + (str) ".in"); ofstream fout((str) x + (str) ".out");
// void fileIO(string x) {}
#define flush() fflush(stdout)
#define interact(n) fflush(stdout); cin >> n; if (n == -1) return 0
#define testcases int tt; cin >> tt; fun (i, tt) solve();

#define edgeIO(m) fun (i, m) {int a, b; cin >> a >> b; addEdges(a, b);}
#define WeightedEdgeIO(m) fun (i, m) {int a, b, c; cin >> a >> b >> c; addWeightedEdges(a, b, c);}
#define numberedEdgeIO(m) fun (i, m) {int a, b; cin >> a >> b; addWeightedEdges(a, b, i);}
//types
#define ordered_set tree<int, null_type,less<int>, rb_tree_tag,tree_order_statistics_node_update>
#define ordered_multiset tree<int, null_type,less_equal<int>, rb_tree_tag,tree_order_statistics_node_update>
#define ll long long
#define int long long
#define ld long double
#define str string
#define boolean bool
#define String string
 
//vector
#define pb push_back
#define append push_back
 
//pairs
#define mp make_pair
#define p2 pair<int, int>
#define p3 pair<int, p2>
#define m3(x, y, z) mp(x, mp(y, z))
#define ich first
#define ni second.first
#define sanshi second.second
 
//For loops
#define ahegao(i, a, b) for (int i = a; i < b; i++)
#define baka(i, b, a) for (int i = b; i > a; i--)
#define fun(i, n) for (int i = 1; i <= (n); (i)++)
#define fon(i, n) for (int i = 0; i < (n); (i)++)
#define fur(i, n) for (auto i : (n))
#define oniichan(i, n) for (auto &i : (n))
 
//Sorts
#define sz(aaa) ((signed) aaa.size())
// #define len(aaa) ((signed) aaa.size())
#define all(a) a.begin(), a.end()
#define Sort(a) sort((a).begin(), (a).end())
#define rSort(a) sort((a).rbegin(), (a).rend())
#define clamp(x, y) (x) = min((int) (x), (int) (y))
#define CLAMP(x, y) (x) = max((int) (x), (int) (y))
 
//Other stuff
#define pqueue priority_queue
#define elif else if
#define addEdges(a, b) adj[a].pb(b); adj[b].pb(a)
#define addWeightedEdges(a, b, c) adj[a].pb(mp(b, c)); adj[b].pb(mp(a, c))
// #define find find_by_order
#define printLength(x) if (x < INF) cout << x << newl; else cout << -1 << newl;
// #define printVector(a) fur (i, a) cout << i << ' '; cout << newl;
void printVector(vector<int> DontUseThisName) {
    fur (i, DontUseThisName) cout << i << ' '; cout << newl;
}
void printVector(vector<p2> DontUseThisName) {
    fur (i, DontUseThisName) cout << i.first << ' ' << i.second << newl; cout << newl;
}
void printVector(vector<vector<int>> DontUseThisName) {
    fur (i, DontUseThisName) printVector(i); cout << newl;
}
ll max(ll a, signed b) {return max(a, (ll) b);}
ll max(signed a, ll b) {return max((ll) a, b);}

void pv(int a) {cout << a << newl;}
void pv(int a, int b) {printVector({a, b});}
void pv(p2 a) {printVector({a.first, a.second});};
void pv(int a, int b, int c) {printVector({a, b, c});}
void pv(int a, int b, int c, int d) {printVector({a, b, c, d});}
void pv(int a, int b, int c, int d, int e) {printVector({a, b, c, d, e});}
void pv(int a, int b, int c, int d, int e, int f) {printVector({a, b, c, d, e, f});}
// void pv(int a, )
// void printVector(vector<char> DontUseThisName) {
//     fur (i, DontUseThisName) cout << i << ' '; cout << newl;
// }
// void printRange(vector<int>::iterator Left, vector<int>::iterator Right) {
//     for (auto i = Left; i < Right; i++) cout << *i << ' ';
//     cout << newl;
// } 
//Constants
const int MOD =  1e9+7; // 998244353
// const int SMALLMOD = 998244353;
const int INF = 2e9+1337;
const ll EXCEED = 2e18+1337;
const ll GRAVITY = 8e18;

//#define vectorIO(n, MikuBondage) fun (j, n) {int i; cin >> i; MikuBondage.pb(i);}
void vectorIO(int n, vector<int> &DontUseThisName) {
    fun (j, n) {int i; cin >> i; DontUseThisName.pb(i);}
}
//#define vector2IO(n, MikuBondage) fun (j, n) {int i, ii; cin >> i >> ii; MikuBondage.pb(mp(i, ii));}
void vector2IO(int n, vector<p2> &DontUseThisName) {
    fun (j, n) {int i, ii; cin >> i >> ii; DontUseThisName.pb(mp(i, ii));}
}

// const int dx[4] = {1, -1, 0, 0}, dy[4] = {0, 0, 1, -1};
#define shortest_path_queue priority_queue<p2, vector<p2>, greater<p2>>
#define printArray(DontUseThisName, NakedLolisGalore, GenshinImpactClimbing) ahegao (j, NakedLolisGalore, GenshinImpactClimbing + 1) cout << DontUseThisName[j] << ' '; cout << newl;
#define print2dArray(SplitComplexProblemsIntoMultipleParts, ScuteSwarm, GenshinImpactClimbing) fun (i, ScuteSwarm) {fun (j, GenshinImpactClimbing) cout << SplitComplexProblemsIntoMultipleParts[i][j] << ' '; cout << newl;}
//}

#include <chrono>
unsigned rng = chrono::steady_clock::now().time_since_epoch().count();
int randint(int k) {
    rng = 1337 * (rng % 483187) + (rng << 5) + 987654321 + (rng % 235612) * (rng * 55679);
    return rng % k;
}

const int MAX = 2003;
int n, val[MAX][MAX], inv[MAX][MAX];
bool badRow[MAX], badCol[MAX];
int x[MAX], y[MAX], z[MAX];

bool checkRow(int i, int j) {
    int res = 0;
    fun (k, n) res = (res + inv[i][k] * val[k][j]) % MOD;
    
    int temp = i == j;
    pv(res, temp);
    if (res != temp) badRow[i] = true;
    return res == (i == j);
}

bool checkColumn(int i, int j) {
    int res = 0;
    fun (k, n) res = (res + val[i][k] * inv[k][j]) % MOD;
    // cout << res << newl;
    int temp = i == j;
    pv(res, temp);
    if (res != temp) badCol[j] = true;
    return res == (i == j);
}

int inverse(int a) {
    int b = MOD - 2;
    int res = 1;
    // int i = 0;
    baka(i, 30, -1) {
        res = (res * res) % MOD;
        if (b & (1 << i)) {
            // cout << i << newl;
            res = (res * a) % MOD;
        }
    }
    return res;
}

vector<int> solve(vector<vector<int>> &nums) {
    int k = sz(nums);
    vector<bool> spent(k);
    stack<int> aaa;
    fon (m, k) {
        int i = -1;
        fon (p, k) if (nums[p][m] and not spent[p]) {
            i = p;
            spent[i] = true;
            aaa.push(i);
            break;
        }
        // pv(i, m, nums[i][m]);
        // cout << endl;
        assert(i != -1);
        int temp = inverse(nums[i][m]);
        ahegao (j, m, k+1) {
            nums[i][j] *= temp;
            nums[i][j] %= MOD;
        }
        // printVector(nums); cout << endl;
        
        fon (l, k) if (l != i) {
            int curr = nums[l][m];
            ahegao(j, m, k+1) {
                nums[l][j] += curr * (MOD - nums[i][j]);
                nums[l][j] %= MOD;
            }
        }
        // printVector(nums); cout << endl;
    }
    // cout << "MikuBondage\n";
    // baka (m, k-1, -1) {
    //     int i = aaa.top();
    //     spent[i] = false;
    //     // pv(i);
    //     aaa.pop();
    //     fon (j, n) if (spent[j] and j != i) {
            
    //         nums[j][k] += nums[j][m] * (MOD - nums[i][k]);
    //         nums[j][k] %= MOD;
    //         nums[j][m] = 0;
    //     }
    //     // printVector(nums);
    // }
    vector<int> res;
    fon (i, k) res.pb(nums[i][k]);
    return res;
}

// bool checkColumn
signed main() {
    fastIO;
    cin >> n;
    fun (i, n) fun (j, n) cin >> val[i][j];
    fun (i, n) fun (j, n) cin >> inv[i][j];
    set<int> r, c;
    vector<int> rowPos, columnPos;
    fun (i, n) x[i] = randint(MOD);
    fun (i, n) fun(j, n) y[i] = (y[i] + val[i][j] * x[j]) % MOD;
    fun (i, n) fun(j, n) z[i] = (z[i] + inv[i][j] * y[j]) % MOD;
    fun (i, n) {
        if (x[i] != z[i]) {
            rowPos.pb(i);
            badRow[i] = true;
        }
    }
    // printArray(x, 1, n);
    // printArray(y, 1, n);
    // printArray(z, 1, n);
    fun (i, n) {
        x[i] = randint(MOD);
        y[i] = z[i] = 0;
    }
    fun (i, n) fun(j, n) y[i] = (y[i] + val[j][i] * x[j]) % MOD;
    fun (i, n) fun(j, n) z[i] = (z[i] + inv[j][i] * y[j]) % MOD;
    fun (i, n) {
        if (x[i] != z[i]) {
            columnPos.pb(i);
            badCol[i] = true;
        }
    }
    // printArray(x, 1, n);
    // printArray(y, 1, n);
    // printArray(z, 1, n);
    int pos = 1;
    // pv(sz(r), sz(c));
    // while (sz(r) < sz(c)) {
    //     r.insert(pos);
    //     pos++;
    // }
    // pos = 1;
    // while (sz(r) > sz(c)) {
    //     c.insert(pos);
    //     pos++;
    // }
    rowPos.insert(rowPos.end(), all(r));
    columnPos.insert(columnPos.end(), all(c));
    // printVector(rowPos);
    // printVector(columnPos);
    vector<vector<int>> MikuBondage;
    // fon (i, sz(rowPos)) fon (j, sz(columnPos)) {
        // pv(rowPos[i], columnPos[j]);
        // vector<int> temp(sz(rowPos) * sz(columnPos) + 1);
        // temp[sz(rowPos) * sz(columnPos)] = (rowPos[i] == columnPos[j]);
        // fon (k, sz(rowPos)) {
        //     temp[i * sz(rowPos) + k] = val[rowPos[k]][columnPos[j]];
        // }
        // MikuBondage.pb(temp);
        // printVector(temp);
    // }
    map<p2, int> badMap;
    pos = 0;
    fur (i, rowPos) fur (j, columnPos) {
        badMap[mp(i, j)] = pos;
        pos++;
    }
    fun (i, n) fun (j, n) {
        if (badRow[i] and badCol[j]) {
            vector<int> temp(sz(badMap)+1);
            temp[sz(badMap)] = (i == j);
            fun (k, n) {
                if (badRow[k]) temp[badMap[mp(k, j)]] = val[i][k];
                else temp[sz(badMap)] = (temp[sz(badMap)] + val[i][k] * (MOD - inv[k][j])) % MOD;
            }
            // pv(i, j);
            // printVector(temp);
            MikuBondage.pb(temp);
        }
    }
    // printVector(MikuBondage);
    vector<int> s = solve(MikuBondage);
    // if (sz(s) == 0) return;
    vector<vector<int>> MikuLewds;
    int out = 0;
    fun (i, n) fun (j, n) if (badRow[i] and badCol[j]) {
        int k = badMap[mp(i, j)];
        // pv(i, j, s[k]);
        if (s[k] != inv[i][j])
        MikuLewds.pb({i, j, s[k]});
    }
    
    Sort(MikuLewds);
    cout << sz(MikuLewds) << newl;
    printVector(MikuLewds);
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 5672kb

input:

1
953176428
107682094

output:

0


result:

ok single line: '0'

Test #2:

score: 0
Accepted
time: 560ms
memory: 66256kb

input:

1995
586309310 548144807 578573993 437893403 641164340 712256053 172321263 108058526 768610920 123320669 762746291 856047593 979279376 29067913 309867338 292286426 45124325 239705174 675003623 213743652 620561338 116308277 695369179 669459894 682522334 846995555 159510341 999359657 645579085 7499563...

output:

2
827 238 84815305 
1466 499 206940592 


result:

ok 3 lines

Test #3:

score: 0
Accepted
time: 557ms
memory: 66420kb

input:

1995
436890614 28924575 276129332 63568266 576410175 399540058 591733285 531509939 637241038 596750662 811926780 760228238 317196903 751498201 993802643 102539089 382116597 233386377 974332817 495280100 575832855 616941506 297856263 216480938 638907269 434126707 499611855 764625526 51141033 64624519...

output:

3
315 590 222982023 
421 1912 523778307 
745 1803 328256562 


result:

ok 4 lines

Test #4:

score: 0
Accepted
time: 547ms
memory: 66304kb

input:

1998
583111238 684686962 60000552 833067795 399706437 80311170 511421309 126675237 578609031 629890589 4721597 505178877 965431576 488092987 110903821 856966035 934194793 831090190 93501498 982251231 221658950 561834845 801921306 125139448 771849922 610370373 625334897 671223646 927123592 441019972 ...

output:

4
21 1273 160152585 
700 1573 576757184 
1674 1165 958703366 
1860 1550 451190886 


result:

ok 5 lines

Test #5:

score: 0
Accepted
time: 555ms
memory: 66552kb

input:

2000
717395008 183448326 460843970 942614578 540060179 334668801 284127311 635920935 518435676 579369810 852254297 342132392 390366615 141010330 256825376 585810764 253867889 483289117 141421931 467578626 750184736 801127935 917825514 702243210 954747981 910219404 311930180 11494244 915417963 820983...

output:

5
30 992 620409139 
585 130 391404065 
910 139 921101622 
1292 496 462362602 
1579 1776 163902318 


result:

ok 6 lines

Test #6:

score: 0
Accepted
time: 556ms
memory: 66476kb

input:

2000
620840546 358023079 309405838 45500223 855686733 508959744 51181469 968972877 537705762 129000719 720633908 884983092 862573877 806580605 252024754 680227415 839963816 519838198 171117282 55679929 677376107 529124099 733179585 20941462 208815360 171000233 981430676 830346879 857681989 863823572...

output:

6
708 1628 497911789 
714 1597 924600947 
1105 1248 334964897 
1209 1517 696980563 
1386 1495 446362422 
1427 979 599811696 


result:

ok 7 lines

Test #7:

score: 0
Accepted
time: 551ms
memory: 66404kb

input:

1999
199111744 347283243 902808247 73043926 77805820 474451787 854137221 262193129 508272500 493604512 479354501 851331944 65939325 676555110 301252826 583818606 235970147 545653095 120576387 825367169 249335412 365652469 200134563 609796865 481733518 594700892 34132902 906919419 939234722 888820985...

output:

7
43 586 272473841 
116 1477 158203105 
122 1169 761579075 
477 1913 749351268 
592 583 329485518 
662 1400 622650552 
1563 148 498180819 


result:

ok 8 lines

Test #8:

score: 0
Accepted
time: 544ms
memory: 66324kb

input:

1999
95525499 999471184 616044299 270968642 734163712 806403756 187471687 954208629 738712543 303515182 65192240 341396506 976491262 49950446 564351227 957716298 984366409 189359888 6212233 992086125 956271984 926015141 961718572 628613990 96751949 438018145 639769590 234289696 391888974 135327482 5...

output:

8
279 1620 990329039 
882 1321 138573187 
1060 836 505053059 
1155 214 213425345 
1525 906 706361973 
1553 569 257967325 
1601 1141 127915131 
1898 738 215879720 


result:

ok 9 lines

Test #9:

score: 0
Accepted
time: 554ms
memory: 66320kb

input:

1996
283446729 904496697 172085277 783069511 818458698 756950687 658910284 99042559 674918562 839616643 448339652 245867480 780073469 684157018 540143866 106204044 613514272 978909042 463995202 654242309 233752461 442383227 477386126 286799884 347610798 141921338 587706626 348419066 962374154 132965...

output:

9
309 1146 916944155 
993 1418 998808956 
1136 629 476558426 
1232 181 439191299 
1268 169 491439673 
1314 1282 443126632 
1415 447 825877434 
1541 1779 159693126 
1971 1624 228388510 


result:

ok 10 lines

Test #10:

score: 0
Accepted
time: 563ms
memory: 66436kb

input:

2000
805314295 257118023 408649013 403270425 561279436 651061472 951531903 607216144 450523182 22974988 674008912 524751540 430060765 578271056 821812595 450493650 896882866 256881145 794394659 634756412 525452196 456872277 895856586 30892092 953830689 157566519 434684214 457301058 431434093 3366527...

output:

10
86 1649 33550286 
277 1565 703044124 
280 410 767223588 
1104 2000 542808584 
1165 1837 79761216 
1198 360 199585712 
1555 178 236137043 
1785 1339 983174708 
1869 827 135692552 
1905 106 851820078 


result:

ok 11 lines

Test #11:

score: 0
Accepted
time: 544ms
memory: 66524kb

input:

2000
817831410 837938066 689510456 728988871 925783369 338613646 248460715 797908768 377220868 479079342 718258246 570192472 123025052 702404754 46773852 774152140 719909131 276906493 812767887 453766159 835272763 672918600 773064126 85235335 702812671 696620460 835547337 762745753 759411320 8083624...

output:

11
1 1476 149884243 
374 1642 562186259 
561 1959 143239748 
631 973 100680542 
888 1538 726522334 
977 526 154377214 
1252 262 533011147 
1327 1409 392931391 
1516 1778 182730233 
1782 369 67351156 
1855 441 263735571 


result:

ok 12 lines

Test #12:

score: 0
Accepted
time: 0ms
memory: 5648kb

input:

1
320856661
676593229

output:

1
1 1 914973852 


result:

ok 2 lines

Test #13:

score: 0
Accepted
time: 553ms
memory: 66720kb

input:

2000
518876875 70744495 932244095 614062954 626814336 829150893 998680280 234000933 386686857 577640648 274534113 991968823 338694676 262803592 479224937 248407688 347367787 652722556 999864985 89935946 408575273 342878274 571453557 392556701 38963300 523278627 865830573 710529656 364067377 62819930...

output:

12
268 1341 872543861 
301 670 83707290 
404 923 771911145 
515 915 315878115 
531 1675 222526996 
546 1464 698683617 
667 1134 328997403 
785 1886 372491749 
1122 279 94873268 
1178 1415 973999117 
1868 1621 302520255 
1969 339 658284571 


result:

ok 13 lines

Test #14:

score: 0
Accepted
time: 542ms
memory: 66480kb

input:

1999
126132375 800032351 262637151 998840174 328383619 204918469 536208333 513995901 829164057 538609601 377089892 540716849 41937614 354466066 523585800 195798378 326644387 4751170 678657258 271678980 62983734 10852818 684364703 373677368 25240334 568320119 962133095 18314188 863238520 867505712 18...

output:

12
317 534 317967235 
317 1221 672781882 
317 1395 757051682 
317 1533 223265150 
663 534 107325986 
663 1221 501079553 
663 1395 352817739 
663 1533 961065190 
924 534 339954283 
924 1221 188373539 
924 1395 39691647 
924 1533 854538181 


result:

ok 13 lines

Test #15:

score: 0
Accepted
time: 549ms
memory: 66328kb

input:

1999
370828093 828933278 920173220 740771905 268813966 910479507 392970052 847922924 19573719 825413514 991590471 856671077 993900741 952892873 394675610 837428479 238861594 63756696 803502792 305104791 697054451 370933149 158939288 892700051 963947171 577946344 905348316 23696678 792096181 44575458...

output:

12
131 126 316849219 
131 435 745757250 
131 670 188997514 
430 126 30755629 
430 435 28926874 
430 670 270564257 
834 126 382641538 
834 435 524485184 
834 670 585102542 
1613 126 932907865 
1613 435 998975232 
1613 670 263273055 


result:

ok 13 lines

Test #16:

score: 0
Accepted
time: 545ms
memory: 66348kb

input:

1999
903591810 198238634 684298812 164105032 256956039 672861757 471025345 821182495 883470818 901728280 532295261 767968738 320294286 700772290 169700509 727112521 564257857 364791286 338836071 302817382 904614053 865507136 894734659 779655445 983613621 316690977 857375656 6451093 698119294 1598481...

output:

12
13 1960 424168931 
194 234 227222514 
615 234 273154103 
615 1371 325633047 
810 234 876520078 
946 234 238602556 
954 216 547623002 
954 702 476976153 
954 1960 503560106 
1192 1960 698806771 
1958 1371 631940104 
1958 1960 388266681 


result:

ok 13 lines

Test #17:

score: 0
Accepted
time: 554ms
memory: 66288kb

input:

1999
627118247 935982489 885954228 517473796 44083930 484518245 499676210 738332092 874151437 95535844 559086957 309113085 299789365 906919230 945098985 769325973 628282677 597797906 124653793 521055644 245063580 630252005 183949846 564672468 527964623 231388808 285012487 29386288 757802849 38889177...

output:

12
49 1793 921631393 
705 1908 417596430 
871 1908 961357700 
1030 1908 283031921 
1093 542 121661519 
1093 1522 87579226 
1093 1908 716167634 
1489 542 612583557 
1652 1793 909132547 
1806 1522 282067170 
1806 1596 984560360 
1806 1793 852911378 


result:

ok 13 lines

Test #18:

score: 0
Accepted
time: 551ms
memory: 66392kb

input:

2000
336477725 344614810 759723031 897668323 29157694 440949784 139315818 764784549 810466017 684155405 81843033 609608717 400540490 571611798 657357357 828338500 798932134 436045646 875622403 714290029 862194717 983729486 243849052 578156290 19156078 721842687 818890234 196674335 844235821 57639912...

output:

12
411 1126 501383645 
411 1251 578770760 
411 1407 428879799 
766 1126 442413143 
766 1251 682670649 
766 1407 7221951 
1138 1126 43277264 
1138 1251 846615881 
1138 1407 232292075 
1717 1126 371996778 
1717 1251 334914683 
1717 1407 779537286 


result:

ok 13 lines

Test #19:

score: 0
Accepted
time: 545ms
memory: 66316kb

input:

1999
192143667 846231509 374951421 282340579 992130213 32439194 730155201 452719071 682420232 674225452 10653359 409359680 584185410 580015389 475820282 736404188 394896233 352719251 492674608 141301951 784236812 373162646 188532420 708356143 183745168 192423076 442781368 484354809 697193908 9915016...

output:

12
81 1155 826104455 
615 258 7345693 
959 258 636752307 
1016 942 774880182 
1107 1155 541482380 
1107 1816 176901086 
1162 942 853261047 
1162 1816 829575006 
1717 942 377271277 
1875 1816 48625384 
1912 258 968957956 
1912 1155 364003817 


result:

ok 13 lines

Test #20:

score: 0
Accepted
time: 551ms
memory: 66416kb

input:

2000
470636580 899273352 350166464 523111928 812258536 899903901 71571732 842738863 987895689 136327554 652942779 650349069 335395341 460415467 955302064 348295085 286354455 812853909 922090473 915200207 803195822 135934405 428703857 262895139 319784332 63252432 866823736 388274158 204051575 1469072...

output:

12
360 1036 129892106 
360 1767 994523999 
623 327 215625787 
623 750 412972732 
623 928 893735116 
623 1036 683799411 
623 1918 186544232 
1182 750 486642534 
1182 929 532047060 
1518 750 873084392 
1578 78 186357954 
1578 929 109060959 


result:

ok 13 lines

Test #21:

score: 0
Accepted
time: 548ms
memory: 66320kb

input:

1999
720655701 977467852 885343236 88349312 14863630 100255901 925544428 452701056 132254633 821794681 439447077 100482626 494053817 810464371 280009501 782468062 626866283 523055497 380621157 48086399 954319042 651987710 916345938 67641818 363318266 921485607 561322272 333500586 711059456 941774238...

output:

12
276 246 501071414 
276 301 135529322 
276 411 310731045 
276 415 702953806 
276 524 457201176 
276 864 980692702 
276 1169 575959748 
276 1474 25695168 
276 1639 529621448 
276 1664 385359528 
276 1744 973257319 
276 1917 707229662 


result:

ok 13 lines

Test #22:

score: 0
Accepted
time: 551ms
memory: 66268kb

input:

2000
216228525 575319605 599895437 852292022 804282911 156399371 35939181 635345055 827829679 845342493 81147843 958100184 321410579 449849844 58967802 842945624 686219787 313017814 483472081 606773500 829761709 322450699 961455771 617304724 942667942 657778472 896729841 495800788 812068579 87926518...

output:

12
104 80 747828421 
132 80 648317505 
253 80 480884674 
329 80 311175812 
410 80 294646749 
456 80 621454073 
736 80 540945702 
984 80 55150747 
1142 80 387075663 
1347 80 261641779 
1417 80 658455250 
1832 80 573294900 


result:

ok 13 lines

Test #23:

score: 0
Accepted
time: 1ms
memory: 5700kb

input:

2
201246079 663051287
853555665 44164855
700103727 546814231
735868321 179950016

output:

3
1 1 185176838 
1 2 215307243 
2 1 812299899 


result:

ok 4 lines

Test #24:

score: 0
Accepted
time: 565ms
memory: 66256kb

input:

2000
152162445 967176347 962347388 190716819 100879134 728064582 565971218 482986513 212508543 266299399 75583805 378053101 113182264 609874438 58819598 737369748 515742646 536633725 968999108 933696873 36299936 832998503 720571889 714015245 346002009 913704468 21883119 359082674 358603499 250302191...

output:

4
1 1 573789242 
1 2000 135116635 
2000 1 656863707 
2000 2000 99666945 


result:

ok 5 lines

Test #25:

score: -100
Runtime Error

input:

2000
0 0 0 0 1000000006 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...

output:


result: