Submission #547546

# Submission time Handle Problem Language Result Execution time Memory
547546 2022-04-10T22:52:56 Z duality Flights (JOI22_flights) C++17
0 / 100
94 ms 19468 KB
#define DEBUG 0

#include <bits/stdc++.h>
using namespace std;

#if DEBUG
// basic debugging macros
int __i__,__j__;
#define printLine(l) for(__i__=0;__i__<l;__i__++){cout<<"-";}cout<<endl
#define printLine2(l,c) for(__i__=0;__i__<l;__i__++){cout<<c;}cout<<endl
#define printVar(n) cout<<#n<<": "<<n<<endl
#define printArr(a,l) cout<<#a<<": ";for(__i__=0;__i__<l;__i__++){cout<<a[__i__]<<" ";}cout<<endl
#define print2dArr(a,r,c) cout<<#a<<":\n";for(__i__=0;__i__<r;__i__++){for(__j__=0;__j__<c;__j__++){cout<<a[__i__][__j__]<<" ";}cout<<endl;}
#define print2dArr2(a,r,c,l) cout<<#a<<":\n";for(__i__=0;__i__<r;__i__++){for(__j__=0;__j__<c;__j__++){cout<<setw(l)<<setfill(' ')<<a[__i__][__j__]<<" ";}cout<<endl;}

// advanced debugging class
// debug 1,2,'A',"test";
class _Debug {
    public:
        template<typename T>
        _Debug& operator,(T val) {
            cout << val << endl;
            return *this;
        }
};
#define debug _Debug(),
#else
#define printLine(l)
#define printLine2(l,c)
#define printVar(n)
#define printArr(a,l)
#define print2dArr(a,r,c)
#define print2dArr2(a,r,c,l)
#define debug
#endif

// define
#define MAX_VAL 999999999
#define MAX_VAL_2 999999999999999999LL
#define EPS 1e-6
#define mp make_pair
#define pb push_back

// typedef
typedef unsigned int UI;
typedef long long int LLI;
typedef unsigned long long int ULLI;
typedef unsigned short int US;
typedef pair<int,int> pii;
typedef pair<LLI,LLI> plli;
typedef vector<int> vi;
typedef vector<LLI> vlli;
typedef vector<pii> vpii;
typedef vector<plli> vplli;

// ---------- END OF TEMPLATE ----------
#include "Ali.h"

namespace {
#define B 6

int N;
vi adjList[10010],adjList2[10010];
int com[10010],c = 0;
vi doDFS(int u,int p) {
    vi vv;
    vv.pb(u);
    for (int v: adjList[u]) {
        if (v != p) {
            vi vv2 = doDFS(v,u);
            vv.insert(vv.end(),vv2.begin(),vv2.end());
        }
    }
    if ((vv.size() > B) || ((vv.size() == B) && (p != -1) && (adjList[p].size() == 3))) {
        for (int v: vv) com[v] = c;
        c++;
        vv.clear();
    }
    return vv;
}
int visited[10010],order[10010],num = 0,cc;
vi com2[10010];
int siz[10010];
int getSize(int u,int p) {
    siz[u] = 1;
    for (int v: adjList2[u]) {
        if (v != p) getSize(v,u),siz[u] += siz[v];
    }
    return 0;
}
int doDFS2(int u,int p) {
    visited[u] = 1,order[u] = num++,com2[cc].pb(u);
    sort(adjList2[u].begin(),adjList2[u].end(),[](int a,int b) { return siz[a] < siz[b]; });
    for (int v: adjList2[u]) {
        if (v != p) doDFS2(v,u);
    }
    return 0;
}
int doDFS3(int u,int p,int e,int d) {
    if (u == e) return d;
    for (int v: adjList[u]) {
        if (v != p) {
            int x = doDFS3(v,u,e,d+1);
            if (x != -1) return x;
        }
    }
    return -1;
}
int getDist(int u,int v) {
    return doDFS3(u,-1,v,0);
}
vpii all;
vector<vi> all2,all3;
struct tree {
    vpii edges;
    int add(int x) {
        for (pii &p: edges) p.first += x,p.second += x;
        return 0;
    }
};
vector<tree> trees[20];
vi adj[20];
int D[20][20];
int doDFS4(int u,int p,int r,int d) {
    D[r][u] = d;
    for (int v: adj[u]) {
        if (v != p) doDFS4(v,u,r,d+1);
    }
    return 0;
}
int genTrees() {
    int i,j,k;
    for (i = 0; i <= 2*B-1; i++) trees[i].clear();
    tree o;
    trees[1].pb(o);
    for (i = 2; i <= 2*B-1; i++) {
        for (tree t: trees[i-1]) {
            tree t2 = t;
            t2.add(1);
            t2.edges.pb(mp(0,1));
            trees[i].pb(t2);
        }
        for (j = 1; j <= i-2; j++) {
            if (j <= i-j-1) {
                for (tree t1: trees[j]) {
                    for (tree t2: trees[i-j-1]) {
                        tree t3 = t1;
                        t3.add(1),t3.edges.pb(mp(0,1));
                        tree t4 = t2;
                        t4.add(j+1),t4.edges.pb(mp(0,j+1));
                        t3.edges.insert(t3.edges.end(),t4.edges.begin(),t4.edges.end());
                        trees[i].pb(t3);
                    }
                }
            }
        }
        //cout<<i<<":"<<trees[i].size()<<endl;
    }
    for (i = 2*B-1; i >= B; i--) {
        trees[i].clear();
        for (tree t: trees[i-1]) {
            tree t2 = t;
            t2.add(1);
            t2.edges.pb(mp(0,1));
            trees[i].pb(t2);
        }
    }
    //cout<<"here3"<<endl;
    for (i = 2*B-1; i <= 2*B-1; i++) {
        //cout<<"i:"<<i<<endl;
        for (tree t: trees[i]) {
            for (j = 0; j < i; j++) adj[j].clear();
            for (pii p: t.edges) {
                adj[p.first].pb(p.second);
                adj[p.second].pb(p.first);
            }
            for (j = 0; j < i; j++) doDFS4(j,-1,j,0);
            for (j = 0; j < i; j++) {
                assert(adj[j].size() <= 3);
                if (adj[j].size() < 3) {
                    vi v;
                    for (k = 0; k < i; k++) v.pb(D[j][k]);
                    all2.pb(v);
                }
            }
            vi v;
            for (j = 0; j < i; j++) {
                for (k = j+1; k < i; k++) v.pb(D[j][k]);
            }
            all3.pb(v);
        }
    }
    sort(all2.begin(),all2.end());
    all2.resize(unique(all2.begin(),all2.end())-all2.begin());
    sort(all3.begin(),all3.end());
    all3.resize(unique(all3.begin(),all3.end())-all3.begin());
    //cout<<all2.size()<<";"<<all3.size()<<endl;
    return 0;
}

}
void Init(int N,vector<int> U,vector<int> V) {
    int i;
    int o = N;
    ::N = N;
    for (i = 0; i < N+10; i++) adjList[i].clear(),adjList2[i].clear();
    c = 0;
    for (i = 0; i < N-1; i++) adjList[U[i]].pb(V[i]),adjList[V[i]].pb(U[i]);
    vi vv;
    int r;
    for (i = 0; i < N; i++) {
        if (adjList[i].size() == 1) {
            vv = doDFS(i,-1);
            r = i;
            break;
        }
    }
    if (!vv.empty()) {
        for (i = 0; i < vv.size(); i++) {
            if (vv[i] == r) {
                swap(vv[i],vv.back());
                break;
            }
        }
        while (vv.size() < B) {
            adjList[vv.back()].pb(N);
            adjList[N].pb(vv.back());
            vv.pb(N),N++;
        }
        for (int v: vv) com[v] = c;
        c++;
    }
    //printArr(com,N);
    for (i = 0; i < N; i++) {
        for (int v: adjList[i]) {
            if (com[i] == com[v]) adjList2[i].pb(v);
        }
    }
    fill(visited,visited+N,0);
    for (i = 0; i < N; i++) {
        if (!visited[i] && (adjList2[i].size() == 1)) {
            num = 0,cc = com[i];
            com2[cc].clear();
            getSize(i,-1);
            doDFS2(i,-1);
        }
    }
    for (i = 0; i < o; i++) SetID(i,(2*B-1)*com[i]+order[i]);
    int j;
    if (trees[B].empty()) {
        all.clear();
        for (i = 0; i < 1429; i++) {
            for (j = i; j < 1429; j++) all.pb(mp(i,j));
        }
        all2.clear(),all3.clear();
        //cout<<"here"<<endl;
        genTrees();
        //cout<<"here2"<<endl;
    }
}
string SendA(string S) {
    //cout<<"SendA " << S <<endl;
    int i,b = 0;
    assert(S.size() == 20);
    for (i = 0; i < S.size(); i++) {
        if (S[i] == '1') b |= (1 << i);
    }
    int x = all[b].first,y = all[b].second;
    vi comx = com2[x],comy = com2[y];
    if (x == y) {
        int j;
        vi D;
        for (i = 0; i < comx.size(); i++) {
            for (j = i+1; j < comy.size(); j++) D.pb(getDist(comx[i],comy[j]));
        }
        //printArr(D,D.size());
        LLI ret = lower_bound(all3.begin(),all3.end(),D)-all3.begin()+5;
        //printVar(ret);
        string r;
        while (ret > 0) r += '0'+(ret % 2),ret /= 2;
        r.pop_back();
        return r;
    }
    else {
        int j,m = 1e9;
        vector<vi> D(comx.size());
        for (i = 0; i < comx.size(); i++) {
            D[i].resize(comy.size());
            for (j = 0; j < comy.size(); j++) D[i][j] = getDist(comx[i],comy[j]),m = min(m,D[i][j]);
        }
        for (i = 0; i < comx.size(); i++) {
            for (j = 0; j < comy.size(); j++) {
                if (D[i][j] == m) break;
            }
            if (j < comy.size()) break;
        }
        int xx = i,yy = j;
        vi vx,vy;
        for (i = 0; i < comx.size(); i++) vx.pb(D[i][yy]-m);
        for (i = 0; i < comy.size(); i++) vy.pb(D[xx][i]-m);
        //printArr(vx,vx.size());
        //printArr(vy,vy.size());
        int px = lower_bound(all2.begin(),all2.end(),vx)-all2.begin();
        int py = lower_bound(all2.begin(),all2.end(),vy)-all2.begin();
        //printVar(px);
        //printVar(py);
        //printArr(all2[px],all2[px].size());
        //printArr(all2[py],all2[py].size());
        LLI ret = (LLI) m*all2.size()*all2.size()+(LLI) px*all2.size()+py+5;
        string r;
        while (ret > 0) r += '0'+(ret % 2),ret /= 2;
        r.pop_back();
        return r;
    }
}
#define DEBUG 0

#include <bits/stdc++.h>
using namespace std;

#if DEBUG
// basic debugging macros
int __i__,__j__;
#define printLine(l) for(__i__=0;__i__<l;__i__++){cout<<"-";}cout<<endl
#define printLine2(l,c) for(__i__=0;__i__<l;__i__++){cout<<c;}cout<<endl
#define printVar(n) cout<<#n<<": "<<n<<endl
#define printArr(a,l) cout<<#a<<": ";for(__i__=0;__i__<l;__i__++){cout<<a[__i__]<<" ";}cout<<endl
#define print2dArr(a,r,c) cout<<#a<<":\n";for(__i__=0;__i__<r;__i__++){for(__j__=0;__j__<c;__j__++){cout<<a[__i__][__j__]<<" ";}cout<<endl;}
#define print2dArr2(a,r,c,l) cout<<#a<<":\n";for(__i__=0;__i__<r;__i__++){for(__j__=0;__j__<c;__j__++){cout<<setw(l)<<setfill(' ')<<a[__i__][__j__]<<" ";}cout<<endl;}

// advanced debugging class
// debug 1,2,'A',"test";
class _Debug {
    public:
        template<typename T>
        _Debug& operator,(T val) {
            cout << val << endl;
            return *this;
        }
};
#define debug _Debug(),
#else
#define printLine(l)
#define printLine2(l,c)
#define printVar(n)
#define printArr(a,l)
#define print2dArr(a,r,c)
#define print2dArr2(a,r,c,l)
#define debug
#endif

// define
#define MAX_VAL 999999999
#define MAX_VAL_2 999999999999999999LL
#define EPS 1e-6
#define mp make_pair
#define pb push_back

// typedef
typedef unsigned int UI;
typedef long long int LLI;
typedef unsigned long long int ULLI;
typedef unsigned short int US;
typedef pair<int,int> pii;
typedef pair<LLI,LLI> plli;
typedef vector<int> vi;
typedef vector<LLI> vlli;
typedef vector<pii> vpii;
typedef vector<plli> vplli;

// ---------- END OF TEMPLATE ----------
#include "Benjamin.h"

namespace {
#define B 6

int X,Y;
vpii all;
vector<vi> all2,all3;
struct tree {
    vpii edges;
    int add(int x) {
        for (pii &p: edges) p.first += x,p.second += x;
        return 0;
    }
};
vector<tree> trees[20];
vi adj[20];
int D[20][20];
int doDFS4(int u,int p,int r,int d) {
    D[r][u] = d;
    for (int v: adj[u]) {
        if (v != p) doDFS4(v,u,r,d+1);
    }
    return 0;
}
int genTrees() {
    int i,j,k;
    for (i = 0; i <= 2*B-1; i++) trees[i].clear();
    tree o;
    trees[1].pb(o);
    for (i = 2; i <= 2*B-1; i++) {
        for (tree t: trees[i-1]) {
            tree t2 = t;
            t2.add(1);
            t2.edges.pb(mp(0,1));
            trees[i].pb(t2);
        }
        for (j = 1; j <= i-2; j++) {
            if (j <= i-j-1) {
                for (tree t1: trees[j]) {
                    for (tree t2: trees[i-j-1]) {
                        tree t3 = t1;
                        t3.add(1),t3.edges.pb(mp(0,1));
                        tree t4 = t2;
                        t4.add(j+1),t4.edges.pb(mp(0,j+1));
                        t3.edges.insert(t3.edges.end(),t4.edges.begin(),t4.edges.end());
                        trees[i].pb(t3);
                    }
                }
            }
        }
    }
    for (i = 2*B-1; i >= B; i--) {
        trees[i].clear();
        for (tree t: trees[i-1]) {
            tree t2 = t;
            t2.add(1);
            t2.edges.pb(mp(0,1));
            trees[i].pb(t2);
        }
    }
    for (i = 2*B-1; i <= 2*B-1; i++) {
        for (tree t: trees[i]) {
            for (j = 0; j < i; j++) adj[j].clear();
            for (pii p: t.edges) {
                adj[p.first].pb(p.second);
                adj[p.second].pb(p.first);
            }
            for (j = 0; j < i; j++) doDFS4(j,-1,j,0);
            for (j = 0; j < i; j++) {
                assert(adj[j].size() <= 3);
                if (adj[j].size() < 3) {
                    vi v;
                    for (k = 0; k < i; k++) v.pb(D[j][k]);
                    all2.pb(v);
                }
            }
            vi v;
            for (j = 0; j < i; j++) {
                for (k = j+1; k < i; k++) v.pb(D[j][k]);
            }
            all3.pb(v);
        }
    }
    sort(all2.begin(),all2.end());
    all2.resize(unique(all2.begin(),all2.end())-all2.begin());
    sort(all3.begin(),all3.end());
    all3.resize(unique(all3.begin(),all3.end())-all3.begin());
    //cout<<all2.size()<<";"<<all3.size()<<endl;
    return 0;
}

}
string SendB(int N,int X,int Y) {
    //cout<<"SendB "<<N<<" "<<X<<" "<<Y<<endl;
    if (X > Y) swap(X,Y);
    ::X = X,::Y = Y;
    int i,j;
    if (trees[B].empty()) {
        all.clear();
        for (i = 0; i < 1429; i++) {
            for (j = i; j < 1429; j++) all.pb(mp(i,j));
        }
        all2.clear(),all3.clear();
        genTrees();
    }
    pii p = mp(X/(2*B-1),Y/(2*B-1));
    int pos = lower_bound(all.begin(),all.end(),p)-all.begin();
    string r;
    for (i = 0; i < 20; i++) {
        if (pos & (1 << i)) r += '1';
        else r += '0';
    }
    return r;
}
int Answer(string T) {
    T += '1';
    //cout<<"Answer "<<T<<endl;
    int i,j;
    LLI ret = 0;
    for (i = 0; i < T.size(); i++) {
        if (T[i] == '1') ret |= (1LL << i);
    }
    ret -= 5;
    if (X/(2*B-1) == Y/(2*B-1)) {
        //cout<<"siz:"<<all3[ret].size()<<endl;
        for (i = B; i <= 2*B-1; i++) {
            if (all3[ret].size() == i*(i-1)/2) break;
        }
        int s = i,c = 0;
        //cout<<"s:"<<i<<endl;
        for (i = 0; i < s; i++) {
            for (j = i+1; j < s; j++) {
                if ((i == (X % (2*B-1))) && (j == (Y % (2*B-1)))) break;
                else c++;
            }
            if (j < s) break;
        }
        //cout<<"c:"<<c<<endl;
        return all3[ret][c];
    }
    else {
        int d = ret/all2.size()/all2.size();
        int px = (ret/all2.size()) % all2.size();
        int py = ret % all2.size();
        //cout<<d<<";;"<<px<<";;"<<py<<endl;
        //for (int k: all2[px])cout<<k<<" ";
        //cout<<endl;
        //for (int k: all2[py])cout<<k<<" ";
        //cout<<endl;
        return d + all2[px][X % (2*B-1)] + all2[py][Y % (2*B-1)];
    }
}

Compilation message

Ali.cpp: In function 'void Init(int, std::vector<int>, std::vector<int>)':
Ali.cpp:219:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  219 |         for (i = 0; i < vv.size(); i++) {
      |                     ~~^~~~~~~~~~~
Ali.cpp: In function 'std::string SendA(std::string)':
Ali.cpp:265:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::__cxx11::basic_string<char>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  265 |     for (i = 0; i < S.size(); i++) {
      |                 ~~^~~~~~~~~~
Ali.cpp:273:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  273 |         for (i = 0; i < comx.size(); i++) {
      |                     ~~^~~~~~~~~~~~~
Ali.cpp:274:29: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  274 |             for (j = i+1; j < comy.size(); j++) D.pb(getDist(comx[i],comy[j]));
      |                           ~~^~~~~~~~~~~~~
Ali.cpp:287:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  287 |         for (i = 0; i < comx.size(); i++) {
      |                     ~~^~~~~~~~~~~~~
Ali.cpp:289:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  289 |             for (j = 0; j < comy.size(); j++) D[i][j] = getDist(comx[i],comy[j]),m = min(m,D[i][j]);
      |                         ~~^~~~~~~~~~~~~
Ali.cpp:291:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  291 |         for (i = 0; i < comx.size(); i++) {
      |                     ~~^~~~~~~~~~~~~
Ali.cpp:292:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  292 |             for (j = 0; j < comy.size(); j++) {
      |                         ~~^~~~~~~~~~~~~
Ali.cpp:295:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  295 |             if (j < comy.size()) break;
      |                 ~~^~~~~~~~~~~~~
Ali.cpp:299:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  299 |         for (i = 0; i < comx.size(); i++) vx.pb(D[i][yy]-m);
      |                     ~~^~~~~~~~~~~~~
Ali.cpp:300:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  300 |         for (i = 0; i < comy.size(); i++) vy.pb(D[xx][i]-m);
      |                     ~~^~~~~~~~~~~~~
grader_ali.cpp:10:8: warning: '{anonymous}::_randmem' defined but not used [-Wunused-variable]
   10 |   char _randmem[12379];
      |        ^~~~~~~~

Benjamin.cpp: In function 'int Answer(std::string)':
Benjamin.cpp:177:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::__cxx11::basic_string<char>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  177 |     for (i = 0; i < T.size(); i++) {
      |                 ~~^~~~~~~~~~
Benjamin.cpp:184:34: warning: comparison of integer expressions of different signedness: 'std::vector<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  184 |             if (all3[ret].size() == i*(i-1)/2) break;
      |                 ~~~~~~~~~~~~~~~~~^~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 35 ms 18044 KB Output is correct
2 Correct 33 ms 17980 KB Output is correct
3 Correct 34 ms 17940 KB Output is correct
4 Correct 35 ms 17948 KB Output is correct
5 Correct 36 ms 17928 KB Output is correct
6 Correct 48 ms 19016 KB Output is correct
7 Correct 47 ms 18940 KB Output is correct
8 Correct 42 ms 18896 KB Output is correct
9 Correct 43 ms 18980 KB Output is correct
10 Correct 47 ms 19468 KB Output is correct
11 Correct 40 ms 18704 KB Output is correct
12 Incorrect 24 ms 10300 KB Incorrect
13 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 34 ms 17916 KB Output is correct
2 Incorrect 94 ms 11380 KB Incorrect
3 Halted 0 ms 0 KB -