Submission #220733

# Submission time Handle Problem Language Result Execution time Memory
220733 2020-04-08T13:42:22 Z balbit Collapse (JOI18_collapse) C++14
100 / 100
4673 ms 25836 KB
#include "collapse.h"
#include <bits/stdc++.h>
#pragma GCC optimize("O3", "unroll-loops")
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 BALBIT
#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 = 1<<29;
const ll inf = 1ll<<60;
const ll mod = 998244353 ;


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;
}

const int maxn = 1e5+5;
const int BS = 500;

int state[maxn];
int ndel = 0; // Number of things that are connected
int ans[maxn], sz[maxn];
int par[maxn];
vector<int> stk;
int find(int x){
    return x == par[x]?x:find(par[x]);
}
void setup(){
    ndel = 0;
    stk.clear();
    for (int i = 0; i<maxn; ++i) par[i] = i, sz[i] = 1;
}
inline void undo(){
    if (!stk.empty()) {
        --ndel;
        sz[par[stk.back()]] -= sz[stk.back()];
        par[stk.back()] = stk.back();
        stk.pop_back();
    }
}
inline bool merge(int a, int b) {
    a = find(a); b = find(b);
    if (a == b) return 0;
    ++ndel;
    if (sz[a] < sz[b]) {
        swap(a,b);
    }
    stk.pb(b);
    sz[a] += sz[b];
    par[b] = a;
    return 1;
}

vector<pii > g[maxn]; // to, time
vector<pii> quat[maxn]; // For this position, what time do I query and what id is it?
int itof[maxn];
int ID[maxn];
bool notsure[maxn];
void go(int n,vector<int> TP,vector<int> X,vector<int> Y,vector<int> W,vector<int> P) {
    // TP: query type, 0 is add, 1 is delete
    // X,Y: Edge endpoints
    // W: Query time
    // P: Query position
    // n: Length of the country
     memset(itof, 0, sizeof itof);
    int m = SZ(X), q = SZ(W);


    // SQRT by Time
    for (int t = 0; t<m; t += BS) {
        int t2 = min(m, t+BS);
        for (int i = t; i<t2; ++i) {
            notsure[ID[i]] = 1;
        }
        setup();
        for (int i = 0; i<n; ++i) {
            for (pii x : g[i]) {
                if (!notsure[x.s] && state[x.s]) {
                    merge(x.f,i);
                }
            }
            while (itof[i] < SZ(quat[i]) && quat[i][itof[i]] .f < t2) {
                int T = quat[i][itof[i]] .f, ansit = quat[i][itof[i]].s;
                assert(T >= t && T < t2);
                int nund = 0; // number of necessary undoes
                for (int j = t; j<=T; ++j) {
                    state[ID[j]]^=1;
                }
                for (int j = t; j<t2; ++j) {
                    if (Y[j] <=i && state[ID[j]]) {
                        nund += merge(X[j], Y[j]);
                    }
                }
                for (int j = t; j<=T; ++j) {
                    state[ID[j]]^=1;
                }
                ans[ansit] += ndel;
                ++itof[i];
                for (int cnt = 0; cnt < nund; ++cnt) undo();
            }
        }
        for (int i = t; i<t2; ++i) {
            state[ID[i]]^=1;
            notsure[ID[i]] = 0;
        }
    }

}

vector<int> simulateCollapse(int n,vector<int> T,vector<int> X,vector<int> Y,vector<int> W,vector<int> P){
    int q = SZ(P);
    vector<pii> all;
    for (int i = 0; i<SZ(X); ++i) {
        if (X[i] > Y[i]) swap(X[i], Y[i]);
        all.pb({X[i], Y[i]});
    }
    SORT_UNIQUE(all);
    for (int i = 0; i<SZ(X); ++i) {
        ID[i] = lower_bound(ALL(all), make_pair(X[i], Y[i])) - all.begin();
    }
    {
        set<pii> tmp;
        for (int i = 0; i<SZ(X); ++i) {
            if (X[i] > Y[i]) swap(X[i], Y[i]);
            if (!tmp.count({X[i], Y[i]})) {
                g[Y[i]].pb({X[i], ID[i]});
                tmp.insert({X[i], Y[i]});
            }
        }
        for (int i = 0; i<SZ(P); ++i) {
            quat[P[i]] .pb ({W[i], i});
        }
        for (int i = 0; i<n; ++i) {
            sort(ALL(quat[i]));
        }
        go(n,T,X,Y,W,P);
    }

    for (int i = 0; i<q; ++i) bug(i,ans[i]);

    for(int i = 0; i<n; ++i) g[i].clear(), quat[i].clear();
    memset(state, 0, sizeof state);
    for (int i = 0; i<SZ(X); ++i) {
        X[i] = n-X[i] - 1;
        Y[i] = n-Y[i] - 1;
    }
    for (int i = 0; i<SZ(P); ++i) {
        P[i] = n-P[i] - 2;
    }

    {
        set<pii> tmp;
        for (int i = 0; i<SZ(X); ++i) {
            if (X[i] > Y[i]) swap(X[i], Y[i]);
            if (!tmp.count({X[i], Y[i]})) {
                g[Y[i]].pb({X[i],ID[i]});
                tmp.insert({X[i], Y[i]});
            }
        }
        for (int i = 0; i<SZ(P); ++i) {
            quat[P[i]] .pb ({W[i], i});
        }
        for (int i = 0; i<n; ++i) {
            sort(ALL(quat[i]));
        }
        go(n,T,X,Y,W,P);
    }

    vector<int> re(q);

    for (int i = 0; i<q; ++i) {
        bug(i, ans[i]);
        re[i] = n-ans[i];
    }

	return re;

}
#ifdef BALBITe
signed main(){
    IOS();
    simulateCollapse(5,)


}
#endif

/*
4 4 9
0 0 2
0 1 3
0 2 3
1 2 3
1 0
1 1
1 2
2 0
2 1
2 2
3 0
3 1
3 2
*/

Compilation message

collapse.cpp: In function 'void go(int, std::vector<int>, std::vector<int>, std::vector<int>, std::vector<int>, std::vector<int>)':
collapse.cpp:99:20: warning: unused variable 'q' [-Wunused-variable]
     int m = SZ(X), q = SZ(W);
                    ^
# Verdict Execution time Memory Grader output
1 Correct 31 ms 7040 KB Output is correct
2 Correct 10 ms 6784 KB Output is correct
3 Correct 12 ms 6912 KB Output is correct
4 Correct 13 ms 6784 KB Output is correct
5 Correct 48 ms 7040 KB Output is correct
6 Correct 46 ms 7288 KB Output is correct
7 Correct 10 ms 6912 KB Output is correct
8 Correct 12 ms 6912 KB Output is correct
9 Correct 45 ms 7296 KB Output is correct
10 Correct 61 ms 7544 KB Output is correct
11 Correct 68 ms 7544 KB Output is correct
12 Correct 61 ms 7544 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 45 ms 10100 KB Output is correct
2 Correct 69 ms 10860 KB Output is correct
3 Correct 668 ms 14932 KB Output is correct
4 Correct 107 ms 10860 KB Output is correct
5 Correct 690 ms 16108 KB Output is correct
6 Correct 539 ms 12144 KB Output is correct
7 Correct 911 ms 22252 KB Output is correct
8 Correct 879 ms 19180 KB Output is correct
9 Correct 52 ms 10860 KB Output is correct
10 Correct 83 ms 11372 KB Output is correct
11 Correct 633 ms 11632 KB Output is correct
12 Correct 1554 ms 20040 KB Output is correct
13 Correct 2135 ms 21896 KB Output is correct
14 Correct 3751 ms 24044 KB Output is correct
15 Correct 2971 ms 24492 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 45 ms 10092 KB Output is correct
2 Correct 66 ms 10080 KB Output is correct
3 Correct 82 ms 10472 KB Output is correct
4 Correct 113 ms 10600 KB Output is correct
5 Correct 639 ms 10344 KB Output is correct
6 Correct 549 ms 11364 KB Output is correct
7 Correct 848 ms 18924 KB Output is correct
8 Correct 1464 ms 22764 KB Output is correct
9 Correct 66 ms 12520 KB Output is correct
10 Correct 960 ms 12520 KB Output is correct
11 Correct 3597 ms 25420 KB Output is correct
12 Correct 4569 ms 25076 KB Output is correct
13 Correct 3712 ms 25704 KB Output is correct
14 Correct 4673 ms 25008 KB Output is correct
15 Correct 3644 ms 25836 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 31 ms 7040 KB Output is correct
2 Correct 10 ms 6784 KB Output is correct
3 Correct 12 ms 6912 KB Output is correct
4 Correct 13 ms 6784 KB Output is correct
5 Correct 48 ms 7040 KB Output is correct
6 Correct 46 ms 7288 KB Output is correct
7 Correct 10 ms 6912 KB Output is correct
8 Correct 12 ms 6912 KB Output is correct
9 Correct 45 ms 7296 KB Output is correct
10 Correct 61 ms 7544 KB Output is correct
11 Correct 68 ms 7544 KB Output is correct
12 Correct 61 ms 7544 KB Output is correct
13 Correct 45 ms 10100 KB Output is correct
14 Correct 69 ms 10860 KB Output is correct
15 Correct 668 ms 14932 KB Output is correct
16 Correct 107 ms 10860 KB Output is correct
17 Correct 690 ms 16108 KB Output is correct
18 Correct 539 ms 12144 KB Output is correct
19 Correct 911 ms 22252 KB Output is correct
20 Correct 879 ms 19180 KB Output is correct
21 Correct 52 ms 10860 KB Output is correct
22 Correct 83 ms 11372 KB Output is correct
23 Correct 633 ms 11632 KB Output is correct
24 Correct 1554 ms 20040 KB Output is correct
25 Correct 2135 ms 21896 KB Output is correct
26 Correct 3751 ms 24044 KB Output is correct
27 Correct 2971 ms 24492 KB Output is correct
28 Correct 45 ms 10092 KB Output is correct
29 Correct 66 ms 10080 KB Output is correct
30 Correct 82 ms 10472 KB Output is correct
31 Correct 113 ms 10600 KB Output is correct
32 Correct 639 ms 10344 KB Output is correct
33 Correct 549 ms 11364 KB Output is correct
34 Correct 848 ms 18924 KB Output is correct
35 Correct 1464 ms 22764 KB Output is correct
36 Correct 66 ms 12520 KB Output is correct
37 Correct 960 ms 12520 KB Output is correct
38 Correct 3597 ms 25420 KB Output is correct
39 Correct 4569 ms 25076 KB Output is correct
40 Correct 3712 ms 25704 KB Output is correct
41 Correct 4673 ms 25008 KB Output is correct
42 Correct 3644 ms 25836 KB Output is correct
43 Correct 920 ms 18264 KB Output is correct
44 Correct 982 ms 21612 KB Output is correct
45 Correct 1114 ms 19436 KB Output is correct
46 Correct 1474 ms 22508 KB Output is correct
47 Correct 67 ms 12520 KB Output is correct
48 Correct 91 ms 12408 KB Output is correct
49 Correct 761 ms 12580 KB Output is correct
50 Correct 1119 ms 13976 KB Output is correct
51 Correct 2083 ms 21500 KB Output is correct
52 Correct 2700 ms 22672 KB Output is correct
53 Correct 2364 ms 21868 KB Output is correct
54 Correct 3159 ms 23116 KB Output is correct
55 Correct 2721 ms 23148 KB Output is correct
56 Correct 3080 ms 23940 KB Output is correct
57 Correct 3394 ms 24904 KB Output is correct
58 Correct 4123 ms 24420 KB Output is correct
59 Correct 3644 ms 25764 KB Output is correct
60 Correct 4525 ms 24972 KB Output is correct