Submission #304226

# Submission time Handle Problem Language Result Execution time Memory
304226 2020-09-21T04:43:10 Z balbit Railway Trip (JOI17_railway_trip) C++14
20 / 100
2000 ms 25464 KB
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define pii pair<int, int>
#define ull unsigned ll
#define f first
#define s second
#define ALL(x) x.begin(),x.end()
#define SZ(x) (int)x.size()
#define SQ(x) (x)*(x)
#define MN(a,b) a = min(a,(__typeof__(a))(b))
#define MX(a,b) a = max(a,(__typeof__(a))(b))
#define pb push_back
#define SORT_UNIQUE(c) (sort(c.begin(),c.end()), c.resize(distance(c.begin(),unique(c.begin(),c.end()))))
#ifdef BALBITe
#define IOS()
#define bug(...) fprintf(stderr,"#%d (%s) = ",__LINE__,#__VA_ARGS__),_do(__VA_ARGS__);
template<typename T> void _do(T &&x){cerr<<x<<endl;}
template<typename T, typename ...S> void _do(T &&x, S &&...y){cerr<<x<<", ";_do(y...);}
#else
#define IOS() ios_base::sync_with_stdio(0);cin.tie(0);
#define endl '\n'
#define bug(...)
#endif

const int iinf = 1e9+10;
const ll inf = 1ll<<60;
const ll mod = 1e9+7 ;


void GG(){cout<<"0\n"; exit(0);}

ll mpow(ll a, ll n, ll mo = mod){ // a^n % mod
    ll re=1;
    while (n>0){
        if (n&1) re = re*a %mo;
        a = a*a %mo;
        n>>=1;
    }
    return re;
}

ll inv (ll b, ll mo = mod){
    if (b==1) return b;
    return (mo-mo/b) * inv(mo%b,mo) % mo;
}

const int maxn = 1e5+5;

int n,k,q;
int bst[21][maxn][2];
int a[maxn];

int s[maxn];

ll QU(int e) {
    ll re = 0;
    for (++e; e>0; e-=e&-e) re += s[e];
    return re;
}

void MO(int e, int v) {
    for (++e; e<maxn; e+=e&-e) s[e] += v;
}

int seg[2 * maxn];

void build() {  // build the tree
  for (int i = maxn - 1; i > 0; --i) seg[i] = max(seg[i<<1] , seg[i<<1|1]);
}

void modify(int p, int value) {  // set value at position p
    for (seg[p += maxn] = value; p > 1; p >>= 1) seg[p>>1] = max(seg[p] , seg[p^1]);
}

int query(int l, int r) {  // sum on interval [l, r)
    int res = 0;
    for (l += maxn, r += maxn; l < r; l >>= 1, r >>= 1) {
        if (l&1) res = max(res, seg[l++]);
        if (r&1) res = max(res, seg[--r]);
    }
    return res;
}

struct qq{
    int x,y,mx,id;
};

int leq(vector<int> & x, int a) {
    return upper_bound(ALL(x), a) - x.begin();
}

int to[maxn][2];

void walk(array<int, 2> &A) {
    A[0] = bst[0][A[0]][0];
    A[1] = bst[0][A[1]][1];
    if (a[A[0]] != a[A[1]]) {
        if (a[A[0]] > a[A[1]]) A[1] = A[0];
        else A[0] = A[1];
    }
}

void ass(bool x) {if (!x) while(1); }

signed main(){
    IOS();
//    cout<<"1\n3\n0\n"; return 0;
    cin>>n>>k>>q;
//    assert(n<=25);
    for (int i = 0; i<n; ++i) {
        cin>>a[i];
        modify(i,a[i]);
    }
//    build();
    bug(query(0,3));
    vector<int> ps = {0};
    for (int i = 0; i<n; ++i) {
        while (a[ps.back()] < a[i]) {
            ps.pop_back();
        }
        bst[0][i][0] = ps.back();
        ps.pb(i);
    }
    ps = {n-1};
    for (int i = n-1; i>=0; --i) {
        while (a[ps.back()] < a[i]) {
            ps.pop_back();
        }
        bst[0][i][1] = ps.back();
        ps.pb(i);
    }
    for (int i = 0; i<n; ++i) {
        to[i][0] = bst[0][i][0];
        to[i][1] = bst[0][i][1];
//        tie(to[i][0], to[i][1]) = make_pair(bst[0][i][0], bst[0][i][1]);
        if (a[bst[0][i][0]] != a[bst[0][i][1]]) {
            if (a[bst[0][i][0]] < a[bst[0][i][1]]) {
                bst[0][i][0] = bst[0][i][1];
            }else{
                bst[0][i][1] = bst[0][i][0];
            }
        }
        bug(bst[0][i][0], bst[0][i][1]);
    }
    for (int j = 1; j<21; ++j) {
        for (int i = 0; i<n; ++i) {
            bst[j][i][0] = bst[j-1][bst[j-1][i][0]][0];
            bst[j][i][1] = bst[j-1][bst[j-1][i][1]][1];

            if (a[bst[j][i][0]] != a[bst[j][i][1]]) if (a[bst[j][i][0]] < a[bst[j][i][1]]) {
                bst[j][i][0] = bst[j][i][1];
            }else{
                bst[j][i][1] = bst[j][i][0];
            }
        }
    }
    vector<qq > ques;

    for (int cnt = 0; cnt < q; ++cnt) {
        int x,y; cin>>x>>y; --x; --y;
        if (x > y) swap(x,y);
        ques.pb({x,y,query(x,y + 1), cnt});
    }
//    sort(ALL(ques), [&](qq  A, qq  b){return A.mx > b.mx;});
    vector<vector<int> > upd (k+1);
    for (int i = 0; i<n; ++i) {
        upd[a[i]].pb(i);
    }
    int tmp = k+1;
    vector<int> ans(q,100000000);
    vector<qq> resv;
    for (int cnt = 0; cnt<q; ++cnt) {
        int x = ques[cnt].x, y = ques[cnt].y;
        assert(x!=y);
        int mx = ques[cnt].mx;
        int id = ques[cnt].id;
//        if (id != 3) continue;
        // x is lower
        bug(x+1,y+1,mx,id);
        for (int df = 0; df < 2; ++df) {
            if (df>0 && mx == k) break;
            array<int, 2> T = {{x,y}};

            int steps = 0;
            for (int &X : T) {
                int dir = X<y;
                array<int, 2> at = {{X,X}};
//                for (int j = 20; j>=0; --j) {
//                    array<int, 2> at2 = {{bst[j][at[0]][0],bst[j][at[1]][1]}};
//                    if (a[at2[0]] != a[at2[1]]) {
//                        if (a[at2[0]] > a[at2[1]]) at2[1] = at2[0];
//                        else at2[0] = at2[1];
//                    }
//                    if (a[at2[0]] < mx + df) {
//                        steps += (1<<j);
//                        bug(j, bst[j][X][dir], bst[j][X][dir^1]);
////                        X = bst[j][X][dir];
//                        at = at2;
//                    }
//                }
                while (1) {
                    array<int, 2> at2 = at; walk(at2);
                    if (a[at2[0]] < mx+df) {
//                        assert(0);
                        steps++; at=at2;
                    }else break;
                }
                X=at[dir];
                bug(steps, X, y);
                bug(a[X], mx + df, mx, df);
                if (a[X] >= mx+df) --steps;
                else {
                    if (df == 0) {
                        if (a[to[X][dir]] >= mx) X = to[X][dir];
                        else X = bst[0][X][dir];
                        if (a[X] < mx) {
                            X = at[dir^1];
                            if (a[to[X][dir]] >= mx) X = to[X][dir^1];
                            else {
                                X = bst[0][X][dir];
                                if (a[X] < mx) X=bst[0][X][dir^1];
                                ass(a[X] >= mx);
                            }
                        }
                    }else{
                        walk(at);
                        if (a[at[dir]] >= mx+df) {
                            X = at[dir];
                        }else{
                            X = at[dir^1];
                            assert(a[X] >= mx + df);
                        }
                    }
                }
            }

//            assert(T[0]<=T[1]);
            int smol = min(a[T[0]], a[T[1]]);
            if (df == 0)
                assert(smol >= mx + df);
//            if (smol < mx + df) continue;
            bug(smol, mx);
            bug(steps, smol);
            MN(ans[id] , (a[T[0]] != a[T[1]]) + steps + (T[0] <= T[1]?leq(upd[smol], T[1]) - leq(upd[smol], T[0]-1) : 0));
//            resv.pb(T[0], T[1], , cnt) ;
        }
//        bug(nxt, y);

    }
//    for (int cnt = 0; cnt < q; ++cnt) {
//        while (tmp > a[y]) {
//            --tmp;
//            bug(tmp, y, a[y]);
//            for (int w : upd[tmp]) {
//                MO(w,1);
//            }
//        }
//    }
    for (int i = 0; i<q; ++i) {
        cout<<ans[i]<<endl;
    }
}
/*
9 3 1
3 1 1 2 2 1 1 1 3
2 6
*/
# Verdict Execution time Memory Grader output
1 Correct 1 ms 512 KB Output is correct
2 Correct 1 ms 512 KB Output is correct
3 Correct 1 ms 512 KB Output is correct
4 Correct 1 ms 512 KB Output is correct
5 Correct 1 ms 512 KB Output is correct
6 Correct 1 ms 512 KB Output is correct
7 Correct 1 ms 512 KB Output is correct
8 Correct 1 ms 512 KB Output is correct
9 Correct 1 ms 512 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 768 KB Output is correct
2 Correct 27 ms 19448 KB Output is correct
3 Correct 27 ms 19448 KB Output is correct
4 Correct 27 ms 19192 KB Output is correct
5 Correct 27 ms 19324 KB Output is correct
6 Correct 28 ms 19320 KB Output is correct
7 Correct 41 ms 23052 KB Output is correct
8 Correct 33 ms 22268 KB Output is correct
9 Correct 35 ms 22264 KB Output is correct
10 Correct 31 ms 20220 KB Output is correct
11 Correct 37 ms 22392 KB Output is correct
12 Correct 34 ms 20728 KB Output is correct
13 Correct 34 ms 20156 KB Output is correct
14 Correct 36 ms 22392 KB Output is correct
15 Correct 34 ms 20728 KB Output is correct
16 Correct 34 ms 20216 KB Output is correct
17 Correct 30 ms 21632 KB Output is correct
18 Correct 26 ms 21624 KB Output is correct
19 Correct 33 ms 23932 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 106 ms 21772 KB Output is correct
2 Correct 105 ms 23288 KB Output is correct
3 Correct 105 ms 23176 KB Output is correct
4 Correct 105 ms 23164 KB Output is correct
5 Correct 107 ms 23172 KB Output is correct
6 Correct 106 ms 23304 KB Output is correct
7 Correct 104 ms 23304 KB Output is correct
8 Correct 106 ms 23528 KB Output is correct
9 Execution timed out 2060 ms 23020 KB Time limit exceeded
10 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 106 ms 25280 KB Output is correct
2 Correct 114 ms 25464 KB Output is correct
3 Correct 104 ms 23656 KB Output is correct
4 Correct 107 ms 24552 KB Output is correct
5 Execution timed out 2058 ms 25324 KB Time limit exceeded
6 Halted 0 ms 0 KB -