Submission #915305

# Submission time Handle Problem Language Result Execution time Memory
915305 2024-01-23T16:22:25 Z atom Segments (IZhO18_segments) C++17
100 / 100
2957 ms 24456 KB
#include "bits/stdc++.h"
// @JASPER'S BOILERPLATE
using namespace std;
using ll = long long;

#ifdef JASPER
#include "debug.h"
#else
#define debug(...) 166
#endif

const int BLOCK = 6500;
const int B = 31;
const int N = 2e5 + 5;

template <typename T>
struct RangeMultiset {
    using P = pair <T, T>;

    multiset <P> st;
    vector <array <T, 3>> save;
    P seg[N];
    vector <P> bL[B], bR[B];
    T mx[B], mn[B];
    // divide BLOCK by length, keep them sorted by border
    int sz = 0;

    void build() {
        // debug(st);
        // debug(save);
        save.clear();
        for (int i = 0; i < B; ++i) {
            bL[i].clear(); bR[i].clear(); 
            mx[i] = 0; mn[i] = 2e9;
        }

        vector <array <T, 3>> p;
        for (auto [l, r] : st) {
            T len = r - l + 1;
            p.push_back({len, l, r});
        }

        sort(p.begin(), p.end());
        for (int i = 0; i < (int) p.size(); ++i) {
            auto [len, l, r] = p[i];
            bL[i / BLOCK].push_back({l, len});
            bR[i / BLOCK].push_back({r, len});
            mx[i / BLOCK] = max(mx[i / BLOCK], len);
            mn[i / BLOCK] = min(mn[i / BLOCK], len);
        }

        for (int i = 0; i < B; ++i) {
            sort(bL[i].begin(), bL[i].end());
            sort(bR[i].begin(), bR[i].end());
        }
    }

    void add(T l, T r) {
        seg[++sz] = make_pair(l, r);
        st.insert(make_pair(l, r));
        save.push_back({l, r, 1});
    }

    void del(T id) {
        st.erase(seg[id]);
        save.push_back({seg[id].first, seg[id].second, -1});
    }

    T qry(T l, T r, T k) {
        // qryA(k): numbers of segments have length >= k
        // qryR(k, L): numbers of segments have length >= k, right border < L
        // qryL(k, R): numbers of segments have length >= k, left border > R
        // brute-force for unproccesed ranges. O(sqrt(N))
        auto qryA = [&] (T k) -> T{
            T res = 0;
            for (int i = 0; i < B; ++i) {
                // if (max_len < k) -> bad block;
                // if (min_len >= k) take whole;
                if (mx[i] < k) continue;
                if (mn[i] >= k) {
                    res += bL[i].size();
                    continue;   
                }

                for (auto [x, len] : bL[i])
                    res += (len >= k);
            }
            return res;
        };

        auto qryR = [&] (T k, T L) -> T{
            T res = 0;
            for (int i = 0; i < B; ++i) {
                if (mx[i] < k) continue;
                if (mn[i] >= k) {
                    P x = make_pair(L, 0);
                    // < x -> lb - 1
                    auto it = lower_bound(bR[i].begin(), bR[i].end(), x);
                    int w = (int) (it - bR[i].begin());
                    res += w; 
                    continue;
                }

                for (auto [r, len] : bR[i]) {
                    res += (len >= k && r < L);
                }
            }
            return res;
        };

        auto qryL = [&] (T k, T R) -> T{
            T res = 0;
            for (int i = 0; i < B; ++i) {
                if (mx[i] < k) continue;
                if (mn[i] >= k) {
                    P x = make_pair(R, 2e9);
                    // > x -> sz - ub
                    auto it = upper_bound(bL[i].begin(), bL[i].end(), x);
                    int w = (int) (it - bL[i].begin());
                    res += (int) (bL[i].size()) - w;
                    continue;
                }
                for (auto [l, len] : bL[i])
                    res += (len >= k && l > R);
            }
            return res;
        };

        T res = 0;
        if (r - l + 1 < k)
            return 0;
        int QA = qryA(k);
        int QL = qryL(k, r - k + 1);
        int QR = qryR(k, l + k - 1);
        // debug(QA, QL, QR, k);
        res += QA - QL - QR;    
        for (auto& [L, R, w] : save) {
            if (R < l + k - 1) continue;
            if (L > r - k + 1) continue;
            if (R - L + 1 < k) continue;
            res += w;
        }
        return res;
    }
};

int n, t;
signed main() {
    cin.tie(0) -> sync_with_stdio(0);
    
    #ifdef JASPER
        freopen("in1", "r", stdin);
    #endif
    

    cin >> n >> t;

    int lastans = 0;
    RangeMultiset <int> rst;

    for (int i = 0; i < n; ++i) {
        int cmd; cin >> cmd;
        if (i % BLOCK == 0) {
            rst.build();
        }
        if (cmd == 1) {
            int l, r; 
            cin >> l >> r;
            l = (l ^ (t * lastans));
            r = (r ^ (t * lastans));    
            if (l > r) swap(l, r);
            rst.add(l, r);
        }
        else if (cmd == 2) {
            int id; cin >> id;
            rst.del(id);
        }
        else {
            int l, r, k; cin >> l >> r >> k;
            l = (l ^ (t * lastans));
            r = (r ^ (t * lastans));
            if (l > r) swap(l, r);
            int ans = rst.qry(l, r, k);
            cout << ans << "\n";

            lastans = ans;
        }
    }
}


# Verdict Execution time Memory Grader output
1 Correct 2 ms 2172 KB Output is correct
2 Correct 1 ms 1880 KB Output is correct
3 Correct 13 ms 2140 KB Output is correct
4 Correct 14 ms 2212 KB Output is correct
5 Correct 19 ms 2396 KB Output is correct
6 Correct 24 ms 2140 KB Output is correct
7 Correct 16 ms 2140 KB Output is correct
8 Correct 15 ms 2136 KB Output is correct
9 Correct 13 ms 2288 KB Output is correct
10 Correct 6 ms 2396 KB Output is correct
11 Correct 31 ms 2308 KB Output is correct
12 Correct 31 ms 2288 KB Output is correct
13 Correct 8 ms 2396 KB Output is correct
14 Correct 15 ms 2284 KB Output is correct
15 Correct 14 ms 2140 KB Output is correct
16 Correct 14 ms 2280 KB Output is correct
17 Correct 17 ms 2140 KB Output is correct
18 Correct 10 ms 2396 KB Output is correct
19 Correct 14 ms 2140 KB Output is correct
20 Correct 16 ms 2140 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 980 ms 9672 KB Output is correct
2 Correct 1000 ms 9816 KB Output is correct
3 Correct 992 ms 9548 KB Output is correct
4 Correct 955 ms 9932 KB Output is correct
5 Correct 384 ms 13132 KB Output is correct
6 Correct 300 ms 13132 KB Output is correct
7 Correct 992 ms 9568 KB Output is correct
8 Correct 1039 ms 9632 KB Output is correct
9 Correct 1028 ms 9604 KB Output is correct
10 Correct 1302 ms 7216 KB Output is correct
11 Correct 1252 ms 7708 KB Output is correct
12 Correct 713 ms 11704 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 291 ms 4092 KB Output is correct
2 Correct 288 ms 4072 KB Output is correct
3 Correct 298 ms 3924 KB Output is correct
4 Correct 290 ms 3920 KB Output is correct
5 Correct 247 ms 11540 KB Output is correct
6 Correct 279 ms 9988 KB Output is correct
7 Correct 266 ms 11440 KB Output is correct
8 Correct 267 ms 13120 KB Output is correct
9 Correct 315 ms 12872 KB Output is correct
10 Correct 301 ms 9924 KB Output is correct
11 Correct 306 ms 4436 KB Output is correct
12 Correct 320 ms 10860 KB Output is correct
13 Correct 278 ms 9404 KB Output is correct
14 Correct 279 ms 6864 KB Output is correct
15 Correct 309 ms 6300 KB Output is correct
16 Correct 266 ms 5440 KB Output is correct
17 Correct 257 ms 9316 KB Output is correct
18 Correct 270 ms 9840 KB Output is correct
19 Correct 255 ms 9328 KB Output is correct
20 Correct 253 ms 9212 KB Output is correct
21 Correct 309 ms 4436 KB Output is correct
22 Correct 345 ms 7556 KB Output is correct
23 Correct 337 ms 8608 KB Output is correct
24 Correct 334 ms 7980 KB Output is correct
25 Correct 292 ms 4104 KB Output is correct
26 Correct 288 ms 4012 KB Output is correct
27 Correct 293 ms 4100 KB Output is correct
28 Correct 289 ms 3968 KB Output is correct
29 Correct 339 ms 9240 KB Output is correct
30 Correct 326 ms 9092 KB Output is correct
31 Correct 261 ms 12872 KB Output is correct
32 Correct 307 ms 10072 KB Output is correct
33 Correct 289 ms 9552 KB Output is correct
34 Correct 273 ms 6232 KB Output is correct
35 Correct 287 ms 8564 KB Output is correct
36 Correct 287 ms 9876 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 329 ms 4068 KB Output is correct
2 Correct 331 ms 4496 KB Output is correct
3 Correct 329 ms 4176 KB Output is correct
4 Correct 332 ms 4300 KB Output is correct
5 Correct 599 ms 11960 KB Output is correct
6 Correct 1362 ms 6792 KB Output is correct
7 Correct 521 ms 12740 KB Output is correct
8 Correct 1326 ms 7476 KB Output is correct
9 Correct 683 ms 7624 KB Output is correct
10 Correct 467 ms 11680 KB Output is correct
11 Correct 789 ms 5956 KB Output is correct
12 Correct 265 ms 13136 KB Output is correct
13 Correct 542 ms 9684 KB Output is correct
14 Correct 667 ms 7248 KB Output is correct
15 Correct 337 ms 12776 KB Output is correct
16 Correct 509 ms 9748 KB Output is correct
17 Correct 1004 ms 9592 KB Output is correct
18 Correct 1022 ms 9720 KB Output is correct
19 Correct 1000 ms 9588 KB Output is correct
20 Correct 983 ms 9592 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2172 KB Output is correct
2 Correct 1 ms 1880 KB Output is correct
3 Correct 13 ms 2140 KB Output is correct
4 Correct 14 ms 2212 KB Output is correct
5 Correct 19 ms 2396 KB Output is correct
6 Correct 24 ms 2140 KB Output is correct
7 Correct 16 ms 2140 KB Output is correct
8 Correct 15 ms 2136 KB Output is correct
9 Correct 13 ms 2288 KB Output is correct
10 Correct 6 ms 2396 KB Output is correct
11 Correct 31 ms 2308 KB Output is correct
12 Correct 31 ms 2288 KB Output is correct
13 Correct 8 ms 2396 KB Output is correct
14 Correct 15 ms 2284 KB Output is correct
15 Correct 14 ms 2140 KB Output is correct
16 Correct 14 ms 2280 KB Output is correct
17 Correct 17 ms 2140 KB Output is correct
18 Correct 10 ms 2396 KB Output is correct
19 Correct 14 ms 2140 KB Output is correct
20 Correct 16 ms 2140 KB Output is correct
21 Correct 980 ms 9672 KB Output is correct
22 Correct 1000 ms 9816 KB Output is correct
23 Correct 992 ms 9548 KB Output is correct
24 Correct 955 ms 9932 KB Output is correct
25 Correct 384 ms 13132 KB Output is correct
26 Correct 300 ms 13132 KB Output is correct
27 Correct 992 ms 9568 KB Output is correct
28 Correct 1039 ms 9632 KB Output is correct
29 Correct 1028 ms 9604 KB Output is correct
30 Correct 1302 ms 7216 KB Output is correct
31 Correct 1252 ms 7708 KB Output is correct
32 Correct 713 ms 11704 KB Output is correct
33 Correct 329 ms 4068 KB Output is correct
34 Correct 331 ms 4496 KB Output is correct
35 Correct 329 ms 4176 KB Output is correct
36 Correct 332 ms 4300 KB Output is correct
37 Correct 599 ms 11960 KB Output is correct
38 Correct 1362 ms 6792 KB Output is correct
39 Correct 521 ms 12740 KB Output is correct
40 Correct 1326 ms 7476 KB Output is correct
41 Correct 683 ms 7624 KB Output is correct
42 Correct 467 ms 11680 KB Output is correct
43 Correct 789 ms 5956 KB Output is correct
44 Correct 265 ms 13136 KB Output is correct
45 Correct 542 ms 9684 KB Output is correct
46 Correct 667 ms 7248 KB Output is correct
47 Correct 337 ms 12776 KB Output is correct
48 Correct 509 ms 9748 KB Output is correct
49 Correct 1004 ms 9592 KB Output is correct
50 Correct 1022 ms 9720 KB Output is correct
51 Correct 1000 ms 9588 KB Output is correct
52 Correct 983 ms 9592 KB Output is correct
53 Correct 334 ms 4140 KB Output is correct
54 Correct 335 ms 4532 KB Output is correct
55 Correct 331 ms 4072 KB Output is correct
56 Correct 332 ms 4056 KB Output is correct
57 Correct 1184 ms 8248 KB Output is correct
58 Correct 1377 ms 6628 KB Output is correct
59 Correct 864 ms 10404 KB Output is correct
60 Correct 1424 ms 6264 KB Output is correct
61 Correct 563 ms 9516 KB Output is correct
62 Correct 363 ms 12604 KB Output is correct
63 Correct 294 ms 12952 KB Output is correct
64 Correct 371 ms 12592 KB Output is correct
65 Correct 727 ms 6156 KB Output is correct
66 Correct 725 ms 5396 KB Output is correct
67 Correct 510 ms 9972 KB Output is correct
68 Correct 597 ms 8824 KB Output is correct
69 Correct 1002 ms 9568 KB Output is correct
70 Correct 1012 ms 9832 KB Output is correct
71 Correct 1072 ms 9660 KB Output is correct
72 Correct 1052 ms 9748 KB Output is correct
73 Correct 777 ms 6628 KB Output is correct
74 Correct 632 ms 8560 KB Output is correct
75 Correct 244 ms 13108 KB Output is correct
76 Correct 289 ms 13048 KB Output is correct
77 Correct 341 ms 4316 KB Output is correct
78 Correct 328 ms 4180 KB Output is correct
79 Correct 342 ms 4192 KB Output is correct
80 Correct 330 ms 4572 KB Output is correct
81 Correct 641 ms 8440 KB Output is correct
82 Correct 760 ms 6268 KB Output is correct
83 Correct 780 ms 5356 KB Output is correct
84 Correct 654 ms 8616 KB Output is correct
85 Correct 529 ms 9996 KB Output is correct
86 Correct 477 ms 10960 KB Output is correct
87 Correct 650 ms 8052 KB Output is correct
88 Correct 756 ms 5548 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2172 KB Output is correct
2 Correct 1 ms 1880 KB Output is correct
3 Correct 13 ms 2140 KB Output is correct
4 Correct 14 ms 2212 KB Output is correct
5 Correct 19 ms 2396 KB Output is correct
6 Correct 24 ms 2140 KB Output is correct
7 Correct 16 ms 2140 KB Output is correct
8 Correct 15 ms 2136 KB Output is correct
9 Correct 13 ms 2288 KB Output is correct
10 Correct 6 ms 2396 KB Output is correct
11 Correct 31 ms 2308 KB Output is correct
12 Correct 31 ms 2288 KB Output is correct
13 Correct 8 ms 2396 KB Output is correct
14 Correct 15 ms 2284 KB Output is correct
15 Correct 14 ms 2140 KB Output is correct
16 Correct 14 ms 2280 KB Output is correct
17 Correct 17 ms 2140 KB Output is correct
18 Correct 10 ms 2396 KB Output is correct
19 Correct 14 ms 2140 KB Output is correct
20 Correct 16 ms 2140 KB Output is correct
21 Correct 980 ms 9672 KB Output is correct
22 Correct 1000 ms 9816 KB Output is correct
23 Correct 992 ms 9548 KB Output is correct
24 Correct 955 ms 9932 KB Output is correct
25 Correct 384 ms 13132 KB Output is correct
26 Correct 300 ms 13132 KB Output is correct
27 Correct 992 ms 9568 KB Output is correct
28 Correct 1039 ms 9632 KB Output is correct
29 Correct 1028 ms 9604 KB Output is correct
30 Correct 1302 ms 7216 KB Output is correct
31 Correct 1252 ms 7708 KB Output is correct
32 Correct 713 ms 11704 KB Output is correct
33 Correct 291 ms 4092 KB Output is correct
34 Correct 288 ms 4072 KB Output is correct
35 Correct 298 ms 3924 KB Output is correct
36 Correct 290 ms 3920 KB Output is correct
37 Correct 247 ms 11540 KB Output is correct
38 Correct 279 ms 9988 KB Output is correct
39 Correct 266 ms 11440 KB Output is correct
40 Correct 267 ms 13120 KB Output is correct
41 Correct 315 ms 12872 KB Output is correct
42 Correct 301 ms 9924 KB Output is correct
43 Correct 306 ms 4436 KB Output is correct
44 Correct 320 ms 10860 KB Output is correct
45 Correct 278 ms 9404 KB Output is correct
46 Correct 279 ms 6864 KB Output is correct
47 Correct 309 ms 6300 KB Output is correct
48 Correct 266 ms 5440 KB Output is correct
49 Correct 257 ms 9316 KB Output is correct
50 Correct 270 ms 9840 KB Output is correct
51 Correct 255 ms 9328 KB Output is correct
52 Correct 253 ms 9212 KB Output is correct
53 Correct 309 ms 4436 KB Output is correct
54 Correct 345 ms 7556 KB Output is correct
55 Correct 337 ms 8608 KB Output is correct
56 Correct 334 ms 7980 KB Output is correct
57 Correct 292 ms 4104 KB Output is correct
58 Correct 288 ms 4012 KB Output is correct
59 Correct 293 ms 4100 KB Output is correct
60 Correct 289 ms 3968 KB Output is correct
61 Correct 339 ms 9240 KB Output is correct
62 Correct 326 ms 9092 KB Output is correct
63 Correct 261 ms 12872 KB Output is correct
64 Correct 307 ms 10072 KB Output is correct
65 Correct 289 ms 9552 KB Output is correct
66 Correct 273 ms 6232 KB Output is correct
67 Correct 287 ms 8564 KB Output is correct
68 Correct 287 ms 9876 KB Output is correct
69 Correct 329 ms 4068 KB Output is correct
70 Correct 331 ms 4496 KB Output is correct
71 Correct 329 ms 4176 KB Output is correct
72 Correct 332 ms 4300 KB Output is correct
73 Correct 599 ms 11960 KB Output is correct
74 Correct 1362 ms 6792 KB Output is correct
75 Correct 521 ms 12740 KB Output is correct
76 Correct 1326 ms 7476 KB Output is correct
77 Correct 683 ms 7624 KB Output is correct
78 Correct 467 ms 11680 KB Output is correct
79 Correct 789 ms 5956 KB Output is correct
80 Correct 265 ms 13136 KB Output is correct
81 Correct 542 ms 9684 KB Output is correct
82 Correct 667 ms 7248 KB Output is correct
83 Correct 337 ms 12776 KB Output is correct
84 Correct 509 ms 9748 KB Output is correct
85 Correct 1004 ms 9592 KB Output is correct
86 Correct 1022 ms 9720 KB Output is correct
87 Correct 1000 ms 9588 KB Output is correct
88 Correct 983 ms 9592 KB Output is correct
89 Correct 334 ms 4140 KB Output is correct
90 Correct 335 ms 4532 KB Output is correct
91 Correct 331 ms 4072 KB Output is correct
92 Correct 332 ms 4056 KB Output is correct
93 Correct 1184 ms 8248 KB Output is correct
94 Correct 1377 ms 6628 KB Output is correct
95 Correct 864 ms 10404 KB Output is correct
96 Correct 1424 ms 6264 KB Output is correct
97 Correct 563 ms 9516 KB Output is correct
98 Correct 363 ms 12604 KB Output is correct
99 Correct 294 ms 12952 KB Output is correct
100 Correct 371 ms 12592 KB Output is correct
101 Correct 727 ms 6156 KB Output is correct
102 Correct 725 ms 5396 KB Output is correct
103 Correct 510 ms 9972 KB Output is correct
104 Correct 597 ms 8824 KB Output is correct
105 Correct 1002 ms 9568 KB Output is correct
106 Correct 1012 ms 9832 KB Output is correct
107 Correct 1072 ms 9660 KB Output is correct
108 Correct 1052 ms 9748 KB Output is correct
109 Correct 777 ms 6628 KB Output is correct
110 Correct 632 ms 8560 KB Output is correct
111 Correct 244 ms 13108 KB Output is correct
112 Correct 289 ms 13048 KB Output is correct
113 Correct 341 ms 4316 KB Output is correct
114 Correct 328 ms 4180 KB Output is correct
115 Correct 342 ms 4192 KB Output is correct
116 Correct 330 ms 4572 KB Output is correct
117 Correct 641 ms 8440 KB Output is correct
118 Correct 760 ms 6268 KB Output is correct
119 Correct 780 ms 5356 KB Output is correct
120 Correct 654 ms 8616 KB Output is correct
121 Correct 529 ms 9996 KB Output is correct
122 Correct 477 ms 10960 KB Output is correct
123 Correct 650 ms 8052 KB Output is correct
124 Correct 756 ms 5548 KB Output is correct
125 Correct 673 ms 6416 KB Output is correct
126 Correct 677 ms 6508 KB Output is correct
127 Correct 695 ms 6484 KB Output is correct
128 Correct 674 ms 6480 KB Output is correct
129 Correct 667 ms 6424 KB Output is correct
130 Correct 713 ms 6516 KB Output is correct
131 Correct 2957 ms 11092 KB Output is correct
132 Correct 2546 ms 16544 KB Output is correct
133 Correct 2043 ms 19276 KB Output is correct
134 Correct 2865 ms 11668 KB Output is correct
135 Correct 1862 ms 22144 KB Output is correct
136 Correct 1671 ms 9392 KB Output is correct
137 Correct 1074 ms 24296 KB Output is correct
138 Correct 1523 ms 16616 KB Output is correct
139 Correct 1341 ms 20764 KB Output is correct
140 Correct 1185 ms 22664 KB Output is correct
141 Correct 1457 ms 17812 KB Output is correct
142 Correct 1617 ms 7880 KB Output is correct
143 Correct 1561 ms 10064 KB Output is correct
144 Correct 1361 ms 6992 KB Output is correct
145 Correct 1186 ms 22552 KB Output is correct
146 Correct 1545 ms 13264 KB Output is correct
147 Correct 1571 ms 10548 KB Output is correct
148 Correct 1596 ms 10092 KB Output is correct
149 Correct 2371 ms 17196 KB Output is correct
150 Correct 2395 ms 17280 KB Output is correct
151 Correct 2399 ms 17340 KB Output is correct
152 Correct 2335 ms 17252 KB Output is correct
153 Correct 2369 ms 17248 KB Output is correct
154 Correct 2404 ms 17212 KB Output is correct
155 Correct 1672 ms 8464 KB Output is correct
156 Correct 1667 ms 10504 KB Output is correct
157 Correct 1199 ms 22704 KB Output is correct
158 Correct 1150 ms 23364 KB Output is correct
159 Correct 1503 ms 16900 KB Output is correct
160 Correct 1648 ms 13688 KB Output is correct
161 Correct 693 ms 6484 KB Output is correct
162 Correct 684 ms 6620 KB Output is correct
163 Correct 689 ms 6736 KB Output is correct
164 Correct 788 ms 6732 KB Output is correct
165 Correct 690 ms 6484 KB Output is correct
166 Correct 676 ms 6480 KB Output is correct
167 Correct 1105 ms 24180 KB Output is correct
168 Correct 1084 ms 24456 KB Output is correct
169 Correct 1212 ms 22396 KB Output is correct
170 Correct 1262 ms 22672 KB Output is correct
171 Correct 1437 ms 17716 KB Output is correct
172 Correct 1656 ms 11908 KB Output is correct
173 Correct 1113 ms 22744 KB Output is correct
174 Correct 1581 ms 12312 KB Output is correct
175 Correct 1350 ms 20460 KB Output is correct
176 Correct 1559 ms 10076 KB Output is correct
177 Correct 1424 ms 16528 KB Output is correct
178 Correct 1449 ms 16044 KB Output is correct