답안 #386558

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
386558 2021-04-06T19:35:20 Z PurpleCrayon Event Hopping 2 (JOI21_event2) C++17
100 / 100
654 ms 143284 KB
#include <bits/stdc++.h>
using namespace std;

#define ar array
#define sz(v) int(v.size())
typedef long long ll;
const int MAXN = 1e5+10, INF = 1e9+10, MAXL = 20;


struct T {
    int tl, tr;
    T *l=nullptr, *r=nullptr;
    int mx = -1;

    T(int _tl, int _tr): tl(_tl), tr(_tr) {}
    void extend(){
        if (l||r||tl==tr) return;
        int tm=(tl+tr)/2;
        l = new T(tl, tm), r = new T(tm+1, tr);
    }
    void upd(int pos, int nv) {
        if (pos < tl || pos > tr) return;
        if (tl == tr){ mx = max(mx, nv); return; }
        extend();
        l->upd(pos, nv), r->upd(pos, nv);
        mx = max(l->mx, r->mx);
    }
    int qry(int ql, int qr){
        if (qr < tl || ql > tr) return -1;
        if (ql <= tl && tr <= qr) return mx;
        extend();
        return max(l->qry(ql, qr), r->qry(ql, qr));
    }
} *t;


int n, k, bst[MAXN], p[MAXN], anc[MAXN][MAXL];
ar<int, 3> a[MAXN], b[MAXN];

bool it(int w, int x, int y, int z){ return !(z <= w || y >= x); }
int solve(vector<ar<int, 3>> v) { //run greedy
    int c=-1, ans=0;
    for (auto& r : v)
        if (r[0] >= c)
            ans++, c = r[1];
    return ans;
}
int main(){
    ios::sync_with_stdio(false); cin.tie(0);
    cin >> n >> k;
    for (int i = 0; i < n; i++) {
        ar<int, 3> _a; cin >> _a[0] >> _a[1], _a[2] = i;
        a[i] = _a;
        b[i] = _a;
    }

    sort(a, a+n, [&](auto i, auto j){ return i[1] < j[1]; });
    {
        vector<ar<int, 3>> v;
        for (int i = 0; i < n; i++) v.push_back(a[i]);
        if (solve(v) < k){
            cout << -1 << '\n';
            return 0;
        }
    }


    memset(p, -1, sizeof(p));
    sort(a, a+n);
    iota(bst, bst+n, 0);

    for (int i = n-1; i >= 0; i--){
        int j = lower_bound(a, a+n, ar<int, 3>{a[i][1], -1, -1}) - a;
        if (j < n) p[a[i][2]] = a[bst[j]][2];
        if (i < n-1 && a[bst[i+1]][1] < a[i][1])
            bst[i] = bst[i+1];
    }

    for (int i = 0; i < n; i++) {
        anc[i][0] = p[i];
    }

    for (int j = 1; j < MAXL; j++) for (int i = 0; i < n; i++)
        anc[i][j] = (anc[i][j-1] == -1 ? -1 : anc[anc[i][j-1]][j-1]);

    auto qry = [&](int l, int r) -> int {
        //return the answer using only coords l <= i <= r
        
        int c = lower_bound(a, a+n, ar<int, 3>{l, -1, -1}) - a;
        if (c >= n) return 0;

        c = a[bst[c]][2];

        int ans=1;
        auto good = [&](int i) -> bool {
            return l <= b[i][0] && b[i][1] <= r;
        };
        if (!good(c)) return 0;

        for (int j = MAXL-1; j >= 0; j--) {
            if (anc[c][j] != -1 && good(anc[c][j]))
                ans += 1<<j, c = anc[c][j];
        }
        return ans;
    };

    set<int> loc{0, INF};

    int loss = qry(0, INF)-k;

    t = new T(0, INF+1);
    vector<int> ans;
    for (int i = 0; i < n; i++) {
        if (sz(ans) >= k) break;

        int cl = b[i][0], cr = b[i][1];
        bool bad=*loc.upper_bound(cl) < cr || t->qry(0, cl) >= cr;
        if (bad) continue;


        int pl = *prev(loc.upper_bound(cl)), pr = *loc.lower_bound(cr);
        int pans = qry(pl, pr);
        int cans = 1+qry(pl, cl)+qry(cr, pr);
        assert(cans <= pans);
        
        if (cans >= pans-loss){
            ans.push_back(i);
            loc.insert(cl), loc.insert(cr);
            loss -= pans-cans;

            t->upd(cl, cr);
        }
    }

    assert(sz(ans) == k);
    for (int i : ans)
        cout << i+1 << '\n';
}
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 748 KB Output is correct
2 Correct 1 ms 748 KB Output is correct
3 Correct 1 ms 748 KB Output is correct
4 Correct 373 ms 141748 KB Output is correct
5 Correct 357 ms 135220 KB Output is correct
6 Correct 339 ms 128564 KB Output is correct
7 Correct 307 ms 115508 KB Output is correct
8 Correct 372 ms 141748 KB Output is correct
9 Correct 359 ms 135220 KB Output is correct
10 Correct 349 ms 128692 KB Output is correct
11 Correct 307 ms 115764 KB Output is correct
12 Correct 273 ms 101672 KB Output is correct
13 Correct 265 ms 97332 KB Output is correct
14 Correct 255 ms 92980 KB Output is correct
15 Correct 243 ms 83892 KB Output is correct
16 Correct 126 ms 43060 KB Output is correct
17 Correct 125 ms 42036 KB Output is correct
18 Correct 116 ms 38836 KB Output is correct
19 Correct 79 ms 19380 KB Output is correct
20 Correct 81 ms 22836 KB Output is correct
21 Correct 88 ms 26804 KB Output is correct
22 Correct 74 ms 13364 KB Output is correct
23 Correct 76 ms 17264 KB Output is correct
24 Correct 81 ms 21940 KB Output is correct
25 Correct 72 ms 12340 KB Output is correct
26 Correct 77 ms 15796 KB Output is correct
27 Correct 82 ms 19892 KB Output is correct
28 Correct 28 ms 5216 KB Output is correct
29 Correct 28 ms 5216 KB Output is correct
30 Correct 28 ms 5216 KB Output is correct
31 Correct 30 ms 5216 KB Output is correct
32 Correct 31 ms 5344 KB Output is correct
33 Correct 37 ms 5180 KB Output is correct
34 Correct 188 ms 65844 KB Output is correct
35 Correct 141 ms 47540 KB Output is correct
36 Correct 100 ms 29364 KB Output is correct
37 Correct 312 ms 138804 KB Output is correct
38 Correct 300 ms 133712 KB Output is correct
39 Correct 293 ms 128436 KB Output is correct
40 Correct 281 ms 123496 KB Output is correct
41 Correct 280 ms 118324 KB Output is correct
42 Correct 32 ms 5216 KB Output is correct
43 Correct 314 ms 137700 KB Output is correct
44 Correct 312 ms 137268 KB Output is correct
45 Correct 305 ms 136884 KB Output is correct
46 Correct 306 ms 136628 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 748 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 748 KB Output is correct
4 Correct 1 ms 748 KB Output is correct
5 Correct 1 ms 748 KB Output is correct
6 Correct 2 ms 748 KB Output is correct
7 Correct 1 ms 748 KB Output is correct
8 Correct 1 ms 748 KB Output is correct
9 Correct 1 ms 748 KB Output is correct
10 Correct 1 ms 748 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 748 KB Output is correct
13 Correct 1 ms 748 KB Output is correct
14 Correct 1 ms 748 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 1 ms 748 KB Output is correct
17 Correct 1 ms 748 KB Output is correct
18 Correct 1 ms 748 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 1 ms 748 KB Output is correct
22 Correct 1 ms 748 KB Output is correct
23 Correct 1 ms 748 KB Output is correct
24 Correct 1 ms 364 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 1 ms 748 KB Output is correct
27 Correct 1 ms 748 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 748 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 748 KB Output is correct
4 Correct 1 ms 748 KB Output is correct
5 Correct 1 ms 748 KB Output is correct
6 Correct 2 ms 748 KB Output is correct
7 Correct 1 ms 748 KB Output is correct
8 Correct 1 ms 748 KB Output is correct
9 Correct 1 ms 748 KB Output is correct
10 Correct 1 ms 748 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 748 KB Output is correct
13 Correct 1 ms 748 KB Output is correct
14 Correct 1 ms 748 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 1 ms 748 KB Output is correct
17 Correct 1 ms 748 KB Output is correct
18 Correct 1 ms 748 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 1 ms 748 KB Output is correct
22 Correct 1 ms 748 KB Output is correct
23 Correct 1 ms 748 KB Output is correct
24 Correct 1 ms 364 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 1 ms 748 KB Output is correct
27 Correct 1 ms 748 KB Output is correct
28 Correct 4 ms 1516 KB Output is correct
29 Correct 4 ms 1516 KB Output is correct
30 Correct 4 ms 1516 KB Output is correct
31 Correct 5 ms 1536 KB Output is correct
32 Correct 4 ms 1900 KB Output is correct
33 Correct 2 ms 492 KB Output is correct
34 Correct 2 ms 492 KB Output is correct
35 Correct 15 ms 6508 KB Output is correct
36 Correct 14 ms 5996 KB Output is correct
37 Correct 11 ms 4844 KB Output is correct
38 Correct 2 ms 492 KB Output is correct
39 Correct 14 ms 5868 KB Output is correct
40 Correct 13 ms 5356 KB Output is correct
41 Correct 11 ms 4972 KB Output is correct
42 Correct 2 ms 492 KB Output is correct
43 Correct 8 ms 3564 KB Output is correct
44 Correct 7 ms 3180 KB Output is correct
45 Correct 6 ms 2796 KB Output is correct
46 Correct 2 ms 492 KB Output is correct
47 Correct 5 ms 2156 KB Output is correct
48 Correct 4 ms 1900 KB Output is correct
49 Correct 4 ms 1644 KB Output is correct
50 Correct 2 ms 492 KB Output is correct
51 Correct 5 ms 2284 KB Output is correct
52 Correct 4 ms 1900 KB Output is correct
53 Correct 3 ms 1388 KB Output is correct
54 Correct 2 ms 492 KB Output is correct
55 Correct 14 ms 6508 KB Output is correct
56 Correct 14 ms 6508 KB Output is correct
57 Correct 13 ms 6380 KB Output is correct
58 Correct 13 ms 6252 KB Output is correct
59 Correct 13 ms 6252 KB Output is correct
60 Correct 13 ms 6124 KB Output is correct
61 Correct 13 ms 5996 KB Output is correct
62 Correct 12 ms 5868 KB Output is correct
63 Correct 11 ms 5356 KB Output is correct
64 Correct 2 ms 492 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 748 KB Output is correct
2 Correct 1 ms 748 KB Output is correct
3 Correct 1 ms 748 KB Output is correct
4 Correct 373 ms 141748 KB Output is correct
5 Correct 357 ms 135220 KB Output is correct
6 Correct 339 ms 128564 KB Output is correct
7 Correct 307 ms 115508 KB Output is correct
8 Correct 372 ms 141748 KB Output is correct
9 Correct 359 ms 135220 KB Output is correct
10 Correct 349 ms 128692 KB Output is correct
11 Correct 307 ms 115764 KB Output is correct
12 Correct 273 ms 101672 KB Output is correct
13 Correct 265 ms 97332 KB Output is correct
14 Correct 255 ms 92980 KB Output is correct
15 Correct 243 ms 83892 KB Output is correct
16 Correct 126 ms 43060 KB Output is correct
17 Correct 125 ms 42036 KB Output is correct
18 Correct 116 ms 38836 KB Output is correct
19 Correct 79 ms 19380 KB Output is correct
20 Correct 81 ms 22836 KB Output is correct
21 Correct 88 ms 26804 KB Output is correct
22 Correct 74 ms 13364 KB Output is correct
23 Correct 76 ms 17264 KB Output is correct
24 Correct 81 ms 21940 KB Output is correct
25 Correct 72 ms 12340 KB Output is correct
26 Correct 77 ms 15796 KB Output is correct
27 Correct 82 ms 19892 KB Output is correct
28 Correct 28 ms 5216 KB Output is correct
29 Correct 28 ms 5216 KB Output is correct
30 Correct 28 ms 5216 KB Output is correct
31 Correct 30 ms 5216 KB Output is correct
32 Correct 31 ms 5344 KB Output is correct
33 Correct 37 ms 5180 KB Output is correct
34 Correct 188 ms 65844 KB Output is correct
35 Correct 141 ms 47540 KB Output is correct
36 Correct 100 ms 29364 KB Output is correct
37 Correct 312 ms 138804 KB Output is correct
38 Correct 300 ms 133712 KB Output is correct
39 Correct 293 ms 128436 KB Output is correct
40 Correct 281 ms 123496 KB Output is correct
41 Correct 280 ms 118324 KB Output is correct
42 Correct 32 ms 5216 KB Output is correct
43 Correct 314 ms 137700 KB Output is correct
44 Correct 312 ms 137268 KB Output is correct
45 Correct 305 ms 136884 KB Output is correct
46 Correct 306 ms 136628 KB Output is correct
47 Correct 1 ms 748 KB Output is correct
48 Correct 1 ms 364 KB Output is correct
49 Correct 1 ms 748 KB Output is correct
50 Correct 1 ms 748 KB Output is correct
51 Correct 1 ms 748 KB Output is correct
52 Correct 2 ms 748 KB Output is correct
53 Correct 1 ms 748 KB Output is correct
54 Correct 1 ms 748 KB Output is correct
55 Correct 1 ms 748 KB Output is correct
56 Correct 1 ms 748 KB Output is correct
57 Correct 1 ms 364 KB Output is correct
58 Correct 1 ms 748 KB Output is correct
59 Correct 1 ms 748 KB Output is correct
60 Correct 1 ms 748 KB Output is correct
61 Correct 1 ms 364 KB Output is correct
62 Correct 1 ms 748 KB Output is correct
63 Correct 1 ms 748 KB Output is correct
64 Correct 1 ms 748 KB Output is correct
65 Correct 1 ms 364 KB Output is correct
66 Correct 1 ms 364 KB Output is correct
67 Correct 1 ms 748 KB Output is correct
68 Correct 1 ms 748 KB Output is correct
69 Correct 1 ms 748 KB Output is correct
70 Correct 1 ms 364 KB Output is correct
71 Correct 1 ms 364 KB Output is correct
72 Correct 1 ms 748 KB Output is correct
73 Correct 1 ms 748 KB Output is correct
74 Correct 4 ms 1516 KB Output is correct
75 Correct 4 ms 1516 KB Output is correct
76 Correct 4 ms 1516 KB Output is correct
77 Correct 5 ms 1536 KB Output is correct
78 Correct 4 ms 1900 KB Output is correct
79 Correct 2 ms 492 KB Output is correct
80 Correct 2 ms 492 KB Output is correct
81 Correct 15 ms 6508 KB Output is correct
82 Correct 14 ms 5996 KB Output is correct
83 Correct 11 ms 4844 KB Output is correct
84 Correct 2 ms 492 KB Output is correct
85 Correct 14 ms 5868 KB Output is correct
86 Correct 13 ms 5356 KB Output is correct
87 Correct 11 ms 4972 KB Output is correct
88 Correct 2 ms 492 KB Output is correct
89 Correct 8 ms 3564 KB Output is correct
90 Correct 7 ms 3180 KB Output is correct
91 Correct 6 ms 2796 KB Output is correct
92 Correct 2 ms 492 KB Output is correct
93 Correct 5 ms 2156 KB Output is correct
94 Correct 4 ms 1900 KB Output is correct
95 Correct 4 ms 1644 KB Output is correct
96 Correct 2 ms 492 KB Output is correct
97 Correct 5 ms 2284 KB Output is correct
98 Correct 4 ms 1900 KB Output is correct
99 Correct 3 ms 1388 KB Output is correct
100 Correct 2 ms 492 KB Output is correct
101 Correct 14 ms 6508 KB Output is correct
102 Correct 14 ms 6508 KB Output is correct
103 Correct 13 ms 6380 KB Output is correct
104 Correct 13 ms 6252 KB Output is correct
105 Correct 13 ms 6252 KB Output is correct
106 Correct 13 ms 6124 KB Output is correct
107 Correct 13 ms 5996 KB Output is correct
108 Correct 12 ms 5868 KB Output is correct
109 Correct 11 ms 5356 KB Output is correct
110 Correct 2 ms 492 KB Output is correct
111 Correct 91 ms 14172 KB Output is correct
112 Correct 88 ms 14644 KB Output is correct
113 Correct 88 ms 14940 KB Output is correct
114 Correct 106 ms 28468 KB Output is correct
115 Correct 108 ms 31412 KB Output is correct
116 Correct 35 ms 5216 KB Output is correct
117 Correct 37 ms 5216 KB Output is correct
118 Correct 654 ms 141832 KB Output is correct
119 Correct 605 ms 129588 KB Output is correct
120 Correct 372 ms 82868 KB Output is correct
121 Correct 35 ms 5216 KB Output is correct
122 Correct 471 ms 102660 KB Output is correct
123 Correct 429 ms 91444 KB Output is correct
124 Correct 386 ms 82740 KB Output is correct
125 Correct 35 ms 5216 KB Output is correct
126 Correct 241 ms 51508 KB Output is correct
127 Correct 197 ms 42932 KB Output is correct
128 Correct 172 ms 36660 KB Output is correct
129 Correct 36 ms 5216 KB Output is correct
130 Correct 145 ms 35668 KB Output is correct
131 Correct 128 ms 28340 KB Output is correct
132 Correct 108 ms 24772 KB Output is correct
133 Correct 35 ms 5216 KB Output is correct
134 Correct 121 ms 33460 KB Output is correct
135 Correct 98 ms 24116 KB Output is correct
136 Correct 87 ms 18100 KB Output is correct
137 Correct 35 ms 5216 KB Output is correct
138 Correct 93 ms 20020 KB Output is correct
139 Correct 83 ms 18228 KB Output is correct
140 Correct 76 ms 12596 KB Output is correct
141 Correct 35 ms 5216 KB Output is correct
142 Correct 385 ms 143156 KB Output is correct
143 Correct 385 ms 143156 KB Output is correct
144 Correct 387 ms 143284 KB Output is correct
145 Correct 385 ms 142004 KB Output is correct
146 Correct 377 ms 139364 KB Output is correct
147 Correct 370 ms 137012 KB Output is correct
148 Correct 362 ms 134068 KB Output is correct
149 Correct 355 ms 131636 KB Output is correct
150 Correct 347 ms 128948 KB Output is correct
151 Correct 327 ms 115892 KB Output is correct
152 Correct 28 ms 5216 KB Output is correct
153 Correct 392 ms 142516 KB Output is correct
154 Correct 375 ms 139956 KB Output is correct
155 Correct 369 ms 137268 KB Output is correct
156 Correct 363 ms 134804 KB Output is correct
157 Correct 358 ms 131984 KB Output is correct
158 Correct 352 ms 129460 KB Output is correct
159 Correct 326 ms 116432 KB Output is correct
160 Correct 28 ms 5216 KB Output is correct
161 Correct 423 ms 86068 KB Output is correct
162 Correct 388 ms 83380 KB Output is correct
163 Correct 372 ms 80564 KB Output is correct
164 Correct 351 ms 77748 KB Output is correct
165 Correct 337 ms 75060 KB Output is correct
166 Correct 32 ms 5344 KB Output is correct
167 Correct 317 ms 136756 KB Output is correct
168 Correct 318 ms 136372 KB Output is correct
169 Correct 311 ms 135924 KB Output is correct
170 Correct 306 ms 135668 KB Output is correct
171 Correct 163 ms 30644 KB Output is correct
172 Correct 168 ms 30644 KB Output is correct
173 Correct 476 ms 100892 KB Output is correct
174 Correct 468 ms 100276 KB Output is correct
175 Correct 458 ms 94900 KB Output is correct
176 Correct 340 ms 71476 KB Output is correct