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답안 #731904

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
731904 2023-04-28T06:41:55 Z minhcool 새 집 (APIO18_new_home) C++17
5 / 100
 5000 ms 622824 KB 
#include<bits/stdc++.h>
using namespace std;

//#define int long long
#define fi first
#define se second
#define pb push_back

typedef pair<int, int> ii;
typedef pair<ii, int> iii;
typedef pair<ii, ii> iiii;

const int N = 3e5 + 5;
const int mod = 1e9 + 7, oo = 1e9 + 7;

/*
Algo (Ig)
*/

int n, k, q;

int a[N], b[N], x[N], t[N];

int l[N], y[N];

vector<int> times;

vector<ii> opes[1048576];
vector<int> asks[N];
multiset<int> mls[N];

vector<int> mini[1048576], maxi[1048576];

vector<int> ask_pos;

int cal[100000005];

int f(int x){
    if(cal[x] != -1) return cal[x];
    return cal[x] = (lower_bound(ask_pos.begin(), ask_pos.end(), x) - ask_pos.begin());
}

// get position to add/erase
ii get_pos(int l, int r){
    assert(l <= r);
    int temp1 = f(l);
    int temp2 = f(r);
    temp2--;
    if(temp2 < temp1){
    //	cout << "OK\n";
    //	exit(0);
	}
    //assert(temp2 >= temp1);
    return {temp1, temp2};
}

void build(int id, int l, int r){
    mini[id].push_back(oo);
    maxi[id].push_back(-oo);
    if(l == r) return;
    int mid = (l + r) >> 1;
    build(id << 1, l, mid);
    build(id << 1 | 1, mid + 1, r);
}

int tol = 0;

int itr = 0;
ii ope[10000005];

int L, R, val, type;

// update the minimum & maximum
void add(int id, int l, int r){
    if(l > R || r < L || l > r) return;
    if(l >= L && r <= R){
        if(!type){
        	if(val >= mini[id].back()) return;
            mini[id].emplace_back(min(mini[id].back(), val));
            itr++;
            ope[itr] = {id, 0};
//            opes.pb({id, 0});
        }
        else{
        	if(val <= maxi[id].back()) return;
            itr++;
            ope[itr] = {id, 1};
            maxi[id].emplace_back(max(maxi[id].back(), val));
        }
        tol++;
        return;
    }
    int mid = (l + r) >> 1;
    add(id << 1, l, mid);
    add(id << 1 | 1, mid + 1, r);
}

void addd(int id, int l, int r, int _L, int _R, int _val, int _type){
	L = _L, R = _R, val = _val, type = _type;
	add(id, l, r);
}

// erase the lasest changes

void er(int id, int l, int r, int L, int R, int type){
    if(l > R || r < L || l > r) return;
    if(l >= L && r <= R){
        if(!type){
//            assert(mini[id].size());
            mini[id].pop_back();
        }
        else{
  //          assert(maxi[id].size());
            maxi[id].pop_back();
        }
        return;
    }
    int mid = (l + r) >> 1;
    er(id << 1, l, mid, L, R, type);
    er(id << 1 | 1, mid + 1, r, L, R, type);
}

int answer[N];

ii ans_que = {oo, -oo};

// easy query stuff

void que(int id, int l, int r, int pos){
    ans_que.fi = min(ans_que.fi, mini[id].back());
    ans_que.se = max(ans_que.se, maxi[id].back());
    if(l == r) return;
    int mid = (l + r) >> 1;
    if(pos <= mid) que(id << 1, l, mid, pos);
    else que(id << 1 | 1, mid + 1, r, pos);
}

// for persistent segment tree

void upd(int id, int l, int r, int L, int R, ii v){
    if(l > R || r < L) return;
    if(l >= L && r <= R){
        opes[id].pb(v);
        return;
    }
    int mid = (l + r) >> 1;
    upd(id << 1, l, mid, L, R, v);
    upd(id << 1 | 1, mid + 1, r, L, R, v);
}

map<ii, int> answ;// b/c i'm lazy

//ii opes[000005];

void trav(int id, int l, int r){
    //cout << id << " " << l << " " << r << "\n";
    tol = 0;
    for(auto it : opes[id]){
       // cout << id << " " << l << " " << r << " " << it.fi << " " << it.se << "\n";
        multiset<int>::iterator itt = mls[it.se].lower_bound(it.fi), itt2 = itt, itt3;
  //       if(itt == mls[it.se].end()) exit(0);
    //    assert(itt != mls[it.se].end());
        itt2++;
        bool ck1 = (itt == mls[it.se].begin()), ck2 = (itt2 == mls[it.se].end());
        if(ck1 && ck2){// everything turns into -oo and oo
            addd(1, 1, ask_pos.size() - 1, 1, ask_pos.size() - 1, -oo, 0);
            addd(1, 1, ask_pos.size() - 1, 1, ask_pos.size() - 1, oo, 1);
            mls[it.se].erase(itt);
            continue;
        }
        else if(ck1){// the left side is missing
            int pos = f((*itt2));
            pos--;
            if(pos) addd(1, 1, ask_pos.size() - 1, 1, pos, (*itt2), 1);
        }
        else if(ck2){// the right side is missing
            itt2--;
            itt2--;
            int pos = f((*itt2));
            if(pos < ask_pos.size()) addd(1, 1, ask_pos.size() - 1, pos, ask_pos.size() - 1, (*itt2), 0);
        }
        else{
            itt2 = itt3 = itt;
            itt2++; itt3--;
            int md = ((*itt2) + (*itt3)) / 2;
            /*
            int pos1 = lower_bound(ask_pos.begin(), ask_pos.end(), (*itt3)) - ask_pos.begin();
            int pos2 = upper_bound(ask_pos.begin(), ask_pos.end(), md) - ask_pos.begin();
            int pos3 = upper_bound(ask_pos.begin(), ask_pos.end(), (*itt2)) - ask_pos.begin();*/
            int pos1 = f((*itt3)), pos2 = f(md + 1), pos3 = f((*itt2) + 1);
            pos2--;
            pos3--;
            if(pos1 <= pos2) addd(1, 1, ask_pos.size() - 1, pos1, pos2, (*itt3), 0);
            if(pos2 < pos3) addd(1, 1, ask_pos.size() - 1, pos2 + 1, pos3, (*itt2), 1);
        }
        mls[it.se].erase(itt);
    }
    int temp = tol;
    if(l == r){
        for(auto it : asks[l]){
            ans_que = {oo, -oo};
            int temp = lower_bound(ask_pos.begin(), ask_pos.end(), it) - ask_pos.begin();
            que(1, 1, ask_pos.size() - 1, temp);
            answ[{times[l], it}] = max(it - ans_que.fi, ans_que.se - it);
        }
    }
    else{
        int mid = (l + r) >> 1;
        trav(id << 1, l, mid);
        trav(id << 1 | 1, mid + 1, r);
    }
    //reverse(opes[id].begin(), opes[id].end());
    for(auto it : opes[id]){
        mls[it.se].insert(it.fi);
        /*
        multiset<int>::iterator itt = mls[it.se].lower_bound(it.fi), itt2 = itt, itt3;
        assert(itt != mls[it.se].end());
        itt2++;
        bool ck1 = (itt == mls[it.se].begin()), ck2 = (itt2 == mls[it.se].end());
        if(ck1 && ck2){
            er(1, 1, ask_pos.size() - 1,  1, ask_pos.size() - 1, 0);
            er(1, 1, ask_pos.size() - 1, 1, ask_pos.size() - 1, 1);
            continue;
        }
        else if(ck1){
            int pos = f((*itt2));
            pos--;
            if(pos) er(1, 1, ask_pos.size() - 1, 1, pos, 1);
        }
        else if(ck2){
            itt2--;
            itt2--;
            int pos = f((*itt2));
            //int pos = lower_bound(ask_pos.begin(), ask_pos.end(), (*itt2)) - ask_pos.begin();
            if(pos < ask_pos.size()) er(1, 1, ask_pos.size() - 1, pos, ask_pos.size() - 1, 0);
        }
        else{
            itt2 = itt3 = itt;
            itt2++; itt3--;
            int md = ((*itt2) + (*itt3)) / 2;
            int pos1 = f((*itt3)), pos2 = f(md + 1), pos3 = f((*itt2) + 1);
            pos2--;
            pos3--;
            if(pos1 <= pos2) er(1, 1, ask_pos.size() - 1, pos1, pos2, 0);
            if(pos2 < pos3) er(1, 1, ask_pos.size() - 1, pos2 + 1, pos3, 1);
        }*/
        //mls[it.se].insert(it.fi);
    }
    for(int i = 1; i <= temp; i++){
        int type = ope[itr].se, id = ope[itr].fi;
        if(!type) mini[id].pop_back();
        else maxi[id].pop_back();
        itr--;
    }
}

void process(){
    for(int i = 0; i <= 100000000; i++) cal[i] = -1;
    cin >> n >> k >> q;
    for(int i = 1; i <= n; i++) cin >> x[i] >> t[i] >> a[i] >> b[i];
    for(int i = 1; i <= q; i++){
        cin >> l[i] >> y[i];
        ask_pos.pb(l[i]);
    }
    times.pb(0);
    times.pb(1);
    times.pb(1e8);
    /*
    for(int i = 1; i <= n; i++){
        if(a[i] > 2) times.pb(a[i] - 1);
        if((b[i] + 1) < 1e8) times.pb(b[i] + 1);
    }*/
    ask_pos.pb(0);
    sort(ask_pos.begin(), ask_pos.end());
    ask_pos.resize(unique(ask_pos.begin(), ask_pos.end()) - ask_pos.begin());
    // push the erase operations
    for(int i = 1; i <= q; i++) times.pb(y[i]);
    sort(times.begin(), times.end());
    times.resize(unique(times.begin(), times.end()) - times.begin());
    for(int i = 1; i <= n; i++){
        if(a[i] > 1){
            int le = 1, ri = lower_bound(times.begin(), times.end(), a[i]) - times.begin();
            ri--;
            if(le <= ri) upd(1, 1, times.size() - 1, le, ri, {x[i], t[i]});
        }
        if((b[i] + 1 < 1e8)){
            int le = lower_bound(times.begin(), times.end(), b[i] + 1) - times.begin(), ri = times.size() - 1;
            upd(1, 1, times.size() - 1, le, ri, {x[i], t[i]});
        }
    }
    //exit(0);
    // insert the queries
    for(int i = 1; i <= q; i++){
        int temp = lower_bound(times.begin(), times.end(), y[i]) - times.begin();
        asks[temp].pb(l[i]);
    }
    // initialize (not erase anything)
    for(int i = 1; i <= n; i++) mls[t[i]].insert(x[i]);
   // cout << ask_pos.size() - 1 << "\n";
//    exit(0);
    build(1, 1, ask_pos.size() - 1);
    for(int i = 1; i <= k; i++){
        if(!mls[i].size()){
            addd(1, 1, ask_pos.size() - 1,  1, ask_pos.size() - 1, -oo, 0);
            addd(1, 1, ask_pos.size() - 1, 1, ask_pos.size() - 1, oo, 1);
            continue;
        }
        //continue;
        int lst = -oo;
        int cnt = 0;
        for(multiset<int>::iterator it = mls[i].begin(); it != mls[i].end(); it++){
            int le = 1, ri = 1e8;
            if(it != mls[i].begin()){
                multiset<int>::iterator it2 = it;
                it2--;
                le = ((*it) + (*it2)) / 2 + 1;
            }
            multiset<int>::iterator it2 = it;
            it2++;
            if(it2 != mls[i].end()) ri = ((*it) + (*it2)) / 2;
 //           if(le > ri || le == ask_pos.size()) continue;
            if(le > ri) continue;
            if(le > ask_pos.back()) continue;
            ii temp = get_pos(le, ri);
            if(temp.fi > temp.se) continue;
            temp.se = min(temp.se, (int)ask_pos.size() - 1);
            if(temp.fi > temp.se) continue;
            int posi = f(*it);
            if(temp.fi < posi) addd(1, 1, ask_pos.size() - 1, temp.fi, posi - 1, (*it), 1);
            if(posi <= temp.se) addd(1, 1, ask_pos.size() - 1, posi, temp.se, (*it), 0);
        }
    }
    //exit(0);
    trav(1, 1, times.size() - 1);
    //cout << (double)clock() / (double)CLOCKS_PER_SEC << "\n";
    for(int i = 1; i <= q; i++) cout << (answ[{y[i], l[i]}] <= 1e8 ? answ[{y[i], l[i]}] : -1) << "\n";
}

signed main(){
    ios_base::sync_with_stdio(0);
//    freopen("test_input.txt", "r", stdin);
//    freopen("test_output.txt", "w", stdout);
    cin.tie(0);
    process();
}

Compilation message

new_home.cpp: In function 'void trav(int, int, int)':
new_home.cpp:180:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  180 |             if(pos < ask_pos.size()) addd(1, 1, ask_pos.size() - 1, pos, ask_pos.size() - 1, (*itt2), 0);
      |                ~~~~^~~~~~~~~~~~~~~~
new_home.cpp: In function 'void process()':
new_home.cpp:309:13: warning: unused variable 'lst' [-Wunused-variable]
  309 |         int lst = -oo;
      |             ^~~
new_home.cpp:310:13: warning: unused variable 'cnt' [-Wunused-variable]
  310 |         int cnt = 0;
      |             ^~~

Subtask #1
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 204 ms 486724 KB Output is correct
2 Correct 196 ms 486712 KB Output is correct
3 Correct 188 ms 486736 KB Output is correct
4 Correct 187 ms 486864 KB Output is correct
5 Correct 196 ms 486960 KB Output is correct
6 Correct 198 ms 486844 KB Output is correct
7 Correct 199 ms 486972 KB Output is correct
8 Correct 188 ms 486864 KB Output is correct
9 Correct 197 ms 486972 KB Output is correct
10 Correct 201 ms 486944 KB Output is correct
11 Correct 193 ms 486892 KB Output is correct
12 Correct 221 ms 486912 KB Output is correct
13 Correct 196 ms 486844 KB Output is correct
14 Correct 187 ms 486896 KB Output is correct
15 Correct 190 ms 487084 KB Output is correct
16 Correct 187 ms 486908 KB Output is correct
17 Correct 191 ms 486880 KB Output is correct
18 Correct 207 ms 486836 KB Output is correct
19 Correct 241 ms 486876 KB Output is correct
20 Correct 211 ms 486872 KB Output is correct
21 Correct 192 ms 486744 KB Output is correct
22 Correct 192 ms 486868 KB Output is correct
23 Correct 186 ms 486820 KB Output is correct
24 Correct 191 ms 486924 KB Output is correct
25 Correct 198 ms 486988 KB Output is correct
26 Correct 200 ms 486852 KB Output is correct
27 Correct 202 ms 486860 KB Output is correct
28 Correct 194 ms 486904 KB Output is correct
29 Correct 187 ms 486988 KB Output is correct
30 Correct 187 ms 486880 KB Output is correct

Subtask #2
0 / 7.0

# 결과 실행 시간 메모리 Grader output
1 Correct 204 ms 486724 KB Output is correct
2 Correct 196 ms 486712 KB Output is correct
3 Correct 188 ms 486736 KB Output is correct
4 Correct 187 ms 486864 KB Output is correct
5 Correct 196 ms 486960 KB Output is correct
6 Correct 198 ms 486844 KB Output is correct
7 Correct 199 ms 486972 KB Output is correct
8 Correct 188 ms 486864 KB Output is correct
9 Correct 197 ms 486972 KB Output is correct
10 Correct 201 ms 486944 KB Output is correct
11 Correct 193 ms 486892 KB Output is correct
12 Correct 221 ms 486912 KB Output is correct
13 Correct 196 ms 486844 KB Output is correct
14 Correct 187 ms 486896 KB Output is correct
15 Correct 190 ms 487084 KB Output is correct
16 Correct 187 ms 486908 KB Output is correct
17 Correct 191 ms 486880 KB Output is correct
18 Correct 207 ms 486836 KB Output is correct
19 Correct 241 ms 486876 KB Output is correct
20 Correct 211 ms 486872 KB Output is correct
21 Correct 192 ms 486744 KB Output is correct
22 Correct 192 ms 486868 KB Output is correct
23 Correct 186 ms 486820 KB Output is correct
24 Correct 191 ms 486924 KB Output is correct
25 Correct 198 ms 486988 KB Output is correct
26 Correct 200 ms 486852 KB Output is correct
27 Correct 202 ms 486860 KB Output is correct
28 Correct 194 ms 486904 KB Output is correct
29 Correct 187 ms 486988 KB Output is correct
30 Correct 187 ms 486880 KB Output is correct
31 Correct 2005 ms 521224 KB Output is correct
32 Correct 344 ms 494484 KB Output is correct
33 Correct 1936 ms 521168 KB Output is correct
34 Correct 2148 ms 522488 KB Output is correct
35 Correct 2173 ms 521504 KB Output is correct
36 Correct 1895 ms 520308 KB Output is correct
37 Correct 1571 ms 522208 KB Output is correct
38 Incorrect 1371 ms 519900 KB Output isn't correct
39 Halted 0 ms 0 KB -

Subtask #3
0 / 10.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2102 ms 593608 KB Output is correct
2 Incorrect 1876 ms 585388 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #4
0 / 23.0

# 결과 실행 시간 메모리 Grader output
1 Execution timed out 5040 ms 622824 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #5
0 / 35.0

# 결과 실행 시간 메모리 Grader output
1 Correct 204 ms 486724 KB Output is correct
2 Correct 196 ms 486712 KB Output is correct
3 Correct 188 ms 486736 KB Output is correct
4 Correct 187 ms 486864 KB Output is correct
5 Correct 196 ms 486960 KB Output is correct
6 Correct 198 ms 486844 KB Output is correct
7 Correct 199 ms 486972 KB Output is correct
8 Correct 188 ms 486864 KB Output is correct
9 Correct 197 ms 486972 KB Output is correct
10 Correct 201 ms 486944 KB Output is correct
11 Correct 193 ms 486892 KB Output is correct
12 Correct 221 ms 486912 KB Output is correct
13 Correct 196 ms 486844 KB Output is correct
14 Correct 187 ms 486896 KB Output is correct
15 Correct 190 ms 487084 KB Output is correct
16 Correct 187 ms 486908 KB Output is correct
17 Correct 191 ms 486880 KB Output is correct
18 Correct 207 ms 486836 KB Output is correct
19 Correct 241 ms 486876 KB Output is correct
20 Correct 211 ms 486872 KB Output is correct
21 Correct 192 ms 486744 KB Output is correct
22 Correct 192 ms 486868 KB Output is correct
23 Correct 186 ms 486820 KB Output is correct
24 Correct 191 ms 486924 KB Output is correct
25 Correct 198 ms 486988 KB Output is correct
26 Correct 200 ms 486852 KB Output is correct
27 Correct 202 ms 486860 KB Output is correct
28 Correct 194 ms 486904 KB Output is correct
29 Correct 187 ms 486988 KB Output is correct
30 Correct 187 ms 486880 KB Output is correct
31 Correct 2005 ms 521224 KB Output is correct
32 Correct 344 ms 494484 KB Output is correct
33 Correct 1936 ms 521168 KB Output is correct
34 Correct 2148 ms 522488 KB Output is correct
35 Correct 2173 ms 521504 KB Output is correct
36 Correct 1895 ms 520308 KB Output is correct
37 Correct 1571 ms 522208 KB Output is correct
38 Incorrect 1371 ms 519900 KB Output isn't correct
39 Halted 0 ms 0 KB -

Subtask #6
0 / 20.0

# 결과 실행 시간 메모리 Grader output
1 Correct 204 ms 486724 KB Output is correct
2 Correct 196 ms 486712 KB Output is correct
3 Correct 188 ms 486736 KB Output is correct
4 Correct 187 ms 486864 KB Output is correct
5 Correct 196 ms 486960 KB Output is correct
6 Correct 198 ms 486844 KB Output is correct
7 Correct 199 ms 486972 KB Output is correct
8 Correct 188 ms 486864 KB Output is correct
9 Correct 197 ms 486972 KB Output is correct
10 Correct 201 ms 486944 KB Output is correct
11 Correct 193 ms 486892 KB Output is correct
12 Correct 221 ms 486912 KB Output is correct
13 Correct 196 ms 486844 KB Output is correct
14 Correct 187 ms 486896 KB Output is correct
15 Correct 190 ms 487084 KB Output is correct
16 Correct 187 ms 486908 KB Output is correct
17 Correct 191 ms 486880 KB Output is correct
18 Correct 207 ms 486836 KB Output is correct
19 Correct 241 ms 486876 KB Output is correct
20 Correct 211 ms 486872 KB Output is correct
21 Correct 192 ms 486744 KB Output is correct
22 Correct 192 ms 486868 KB Output is correct
23 Correct 186 ms 486820 KB Output is correct
24 Correct 191 ms 486924 KB Output is correct
25 Correct 198 ms 486988 KB Output is correct
26 Correct 200 ms 486852 KB Output is correct
27 Correct 202 ms 486860 KB Output is correct
28 Correct 194 ms 486904 KB Output is correct
29 Correct 187 ms 486988 KB Output is correct
30 Correct 187 ms 486880 KB Output is correct
31 Correct 2005 ms 521224 KB Output is correct
32 Correct 344 ms 494484 KB Output is correct
33 Correct 1936 ms 521168 KB Output is correct
34 Correct 2148 ms 522488 KB Output is correct
35 Correct 2173 ms 521504 KB Output is correct
36 Correct 1895 ms 520308 KB Output is correct
37 Correct 1571 ms 522208 KB Output is correct
38 Incorrect 1371 ms 519900 KB Output isn't correct
39 Halted 0 ms 0 KB -