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Submission #1081553

# Submission time Handle Problem Language Result Execution time Memory
1081553 2024-08-30T07:17:51 Z _callmelucian Progression (NOI20_progression) C++14
100 / 100
 961 ms 104608 KB 
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef long double ld;
typedef pair<int,int> pii;
typedef tuple<int,int,int> tt;

#define all(a) a.begin(), a.end()
#define filter(a) a.erase(unique(all(a)), a.end())

struct node {
    ll lazyAsgn, lazyAdd, sum;
    ll best, preLen, preVal, sufLen, sufVal, same, len;

    node() : lazyAsgn(0), lazyAdd(0), sum(0), best(0), preLen(0), preVal(0), sufLen(0), sufVal(0), same(0), len(0) {}

    void refine (node ln, node rn) {
        best = max({ln.best, rn.best, (ln.sufLen + rn.preLen) * (ln.sufVal == rn.preVal)});
        preLen = max(ln.preLen, (ln.len + rn.preLen) * (ln.same == rn.preVal));
        preVal = ln.preVal;
        sufLen = max(rn.sufLen, (ln.sufLen + rn.len) * (ln.sufVal == rn.same));
        sufVal = rn.sufVal;
        same = (ln.same == rn.same ? ln.same : LLONG_MAX);
        sum = ln.sum + rn.sum, len = ln.len + rn.len;
    }

    void applyAsgn (ll val, int l, int r) {
        lazyAsgn = val, lazyAdd = 0, sum = val * ll(r - l + 1);
        best = preLen = sufLen = r - l + 1;
        preVal = sufVal = same = val, len = r - l + 1;
    }

    void applyAdd (ll incr, int l, int r) {
        lazyAdd += incr, sum += incr * ll(r - l + 1);
        preVal += incr, sufVal += incr, len = r - l + 1;
        if (same != LLONG_MAX) same += incr;
    }

    void pushDown (node &ln, node &rn, int l, int r, int mid) {
        if (lazyAsgn != LLONG_MAX) {
            ln.applyAsgn(lazyAsgn, l, mid);
            rn.applyAsgn(lazyAsgn, mid + 1, r);
        }
        if (lazyAdd != 0) {
            ln.applyAdd(lazyAdd, l, mid);
            rn.applyAdd(lazyAdd, mid + 1, r);
        }
        lazyAsgn = LLONG_MAX, lazyAdd = 0;
    }
};

struct IT {
    vector<node> tr;
    IT (int sz) : tr(4 * sz) {}

    void rangeAssign (int a, int b, ll val, int k, int l, int r) {
        if (b < l || r < a) return;
        if (a <= l && r <= b) {
            tr[k].applyAsgn(val, l, r);
            return;
        }
        int mid = (l + r) >> 1;
        tr[k].pushDown(tr[2 * k], tr[2 * k + 1], l, r, mid);
        rangeAssign(a, b, val, 2 * k, l, mid);
        rangeAssign(a, b, val, 2 * k + 1, mid + 1, r);
        tr[k].refine(tr[2 * k], tr[2 * k + 1]);
    }

    void rangeAdd (int a, int b, ll incr, int k, int l, int r) {
        if (b < l || r < a) return;
        if (a <= l && r <= b) {
            tr[k].applyAdd(incr, l, r);
            return;
        }
        int mid = (l + r) >> 1;
        tr[k].pushDown(tr[2 * k], tr[2 * k + 1], l, r, mid);
        rangeAdd(a, b, incr, 2 * k, l, mid);
        rangeAdd(a, b, incr, 2 * k + 1, mid + 1, r);
        tr[k].refine(tr[2 * k], tr[2 * k + 1]);
    }

    ll querySum (int a, int b, int k, int l, int r) {
        if (b < l || r < a) return 0;
        if (a <= l && r <= b) return tr[k].sum;
        int mid = (l + r) >> 1;
        tr[k].pushDown(tr[2 * k], tr[2 * k + 1], l, r, mid);
        return querySum(a, b, 2 * k, l, mid) + querySum(a, b, 2 * k + 1, mid + 1, r);
    }

    node query (int a, int b, int k, int l, int r) {
        if (b < l || r < a) return node();
        if (a <= l && r <= b) return tr[k];
        int mid = (l + r) >> 1;
        tr[k].pushDown(tr[2 * k], tr[2 * k + 1], l, r, mid);
        node ans; ans.refine(query(a, b, 2 * k, l, mid), query(a, b, 2 * k + 1, mid + 1, r));
        return ans;
    }

    ll longestSame (int a, int b, int k, int l, int r) {
        return query(a, b, k, l, r).best;
    }

    void lineAssign (int a, int b, ll S, ll C, int k, int l, int r) {
        if (b < r) {
            ll incrR = querySum(1, b + 1, k, l, r) - (S + ll(b - a) * C);
            rangeAssign(b + 1, b + 1, incrR, k, l, r);
        }
        ll incrL = S - (a == l ? 0 : querySum(1, a - 1, k, l, r));
        rangeAssign(a, a, incrL, k, l, r);
        if (a < b) rangeAssign(a + 1, b, C, k, l, r);
    }

    void lineAdd (int a, int b, ll S, ll C, int k, int l, int r) {
        if (b < r)
            rangeAdd(b + 1, b + 1, -(S + ll(b - a) * C), k, l, r);
        rangeAdd(a, a, S, k, l, r);
        if (a < b) rangeAdd(a + 1, b, C, k, l, r);
    }
};

int main()
{
    ios::sync_with_stdio(0);
    cin.tie(0);

    int n, q; cin >> n >> q;
    IT tree(n);

    for (int i = 1; i <= n; i++) {
        int D; cin >> D;
        tree.lineAssign(i, i, D, 0, 1, 1, n);
    }

    while (q--) {
        int type, L, R; cin >> type >> L >> R;
        if (type == 1) {
            int S, C; cin >> S >> C;
            tree.lineAdd(L, R, S, C, 1, 1, n);
        }
        else if (type == 2) {
            int S, C; cin >> S >> C;
            tree.lineAssign(L, R, S, C, 1, 1, n);
        }
        else {
            if (L == R) cout << 1 << "\n";
            else cout << tree.longestSame(L + 1, R, 1, 1, n) + 1 << "\n";
        }
    }

    return 0;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 476 ms 99152 KB Output is correct
2 Correct 90 ms 2592 KB Output is correct
3 Correct 85 ms 2348 KB Output is correct
4 Correct 114 ms 2388 KB Output is correct
5 Correct 98 ms 2388 KB Output is correct
6 Correct 85 ms 2392 KB Output is correct
7 Correct 96 ms 2360 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 485 ms 99268 KB Output is correct
12 Correct 466 ms 99080 KB Output is correct
13 Correct 487 ms 99412 KB Output is correct
14 Correct 476 ms 99668 KB Output is correct
15 Correct 479 ms 99152 KB Output is correct
16 Correct 490 ms 99096 KB Output is correct
17 Correct 489 ms 99372 KB Output is correct
18 Correct 463 ms 99152 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 1116 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 2 ms 600 KB Output is correct
9 Correct 2 ms 604 KB Output is correct
10 Correct 2 ms 604 KB Output is correct
11 Correct 2 ms 604 KB Output is correct
12 Correct 2 ms 604 KB Output is correct
13 Correct 1 ms 604 KB Output is correct
14 Correct 2 ms 604 KB Output is correct
15 Correct 2 ms 604 KB Output is correct
16 Correct 2 ms 664 KB Output is correct
17 Correct 2 ms 604 KB Output is correct
18 Correct 2 ms 700 KB Output is correct
19 Correct 1 ms 344 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct

Subtask #3
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 481 ms 98724 KB Output is correct
2 Correct 65 ms 2132 KB Output is correct
3 Correct 64 ms 2132 KB Output is correct
4 Correct 54 ms 2132 KB Output is correct
5 Correct 65 ms 2388 KB Output is correct
6 Correct 74 ms 2304 KB Output is correct
7 Correct 65 ms 2368 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 456 KB Output is correct
11 Correct 503 ms 97816 KB Output is correct
12 Correct 490 ms 98644 KB Output is correct
13 Correct 504 ms 97872 KB Output is correct
14 Correct 501 ms 97928 KB Output is correct
15 Correct 491 ms 98640 KB Output is correct
16 Correct 500 ms 98896 KB Output is correct
17 Correct 506 ms 98900 KB Output is correct
18 Correct 521 ms 99096 KB Output is correct
19 Correct 473 ms 98572 KB Output is correct
20 Correct 475 ms 98204 KB Output is correct
21 Correct 484 ms 98384 KB Output is correct

Subtask #4
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 660 ms 99664 KB Output is correct
2 Correct 91 ms 2384 KB Output is correct
3 Correct 95 ms 2384 KB Output is correct
4 Correct 93 ms 2368 KB Output is correct
5 Correct 96 ms 2384 KB Output is correct
6 Correct 95 ms 2268 KB Output is correct
7 Correct 110 ms 2384 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 640 ms 97968 KB Output is correct
12 Correct 644 ms 99568 KB Output is correct
13 Correct 656 ms 97904 KB Output is correct
14 Correct 653 ms 97904 KB Output is correct
15 Correct 647 ms 99664 KB Output is correct
16 Correct 665 ms 99668 KB Output is correct
17 Correct 659 ms 99664 KB Output is correct
18 Correct 672 ms 99736 KB Output is correct
19 Correct 660 ms 99564 KB Output is correct
20 Correct 647 ms 99604 KB Output is correct
21 Correct 676 ms 99680 KB Output is correct

Subtask #5
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 481 ms 98724 KB Output is correct
2 Correct 65 ms 2132 KB Output is correct
3 Correct 64 ms 2132 KB Output is correct
4 Correct 54 ms 2132 KB Output is correct
5 Correct 65 ms 2388 KB Output is correct
6 Correct 74 ms 2304 KB Output is correct
7 Correct 65 ms 2368 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 456 KB Output is correct
11 Correct 503 ms 97816 KB Output is correct
12 Correct 490 ms 98644 KB Output is correct
13 Correct 504 ms 97872 KB Output is correct
14 Correct 501 ms 97928 KB Output is correct
15 Correct 491 ms 98640 KB Output is correct
16 Correct 500 ms 98896 KB Output is correct
17 Correct 506 ms 98900 KB Output is correct
18 Correct 521 ms 99096 KB Output is correct
19 Correct 473 ms 98572 KB Output is correct
20 Correct 475 ms 98204 KB Output is correct
21 Correct 484 ms 98384 KB Output is correct
22 Correct 772 ms 99188 KB Output is correct
23 Correct 99 ms 2308 KB Output is correct
24 Correct 97 ms 2388 KB Output is correct
25 Correct 96 ms 2468 KB Output is correct
26 Correct 103 ms 2384 KB Output is correct
27 Correct 102 ms 2384 KB Output is correct
28 Correct 98 ms 2388 KB Output is correct
29 Correct 0 ms 344 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 741 ms 97940 KB Output is correct
33 Correct 778 ms 99152 KB Output is correct
34 Correct 760 ms 98136 KB Output is correct
35 Correct 745 ms 98076 KB Output is correct
36 Correct 697 ms 98140 KB Output is correct
37 Correct 662 ms 98276 KB Output is correct
38 Correct 697 ms 98040 KB Output is correct
39 Correct 766 ms 99156 KB Output is correct
40 Correct 782 ms 99668 KB Output is correct
41 Correct 813 ms 99960 KB Output is correct
42 Correct 804 ms 99664 KB Output is correct
43 Correct 762 ms 99296 KB Output is correct
44 Correct 765 ms 99292 KB Output is correct
45 Correct 731 ms 99340 KB Output is correct

Subtask #6
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 476 ms 99152 KB Output is correct
2 Correct 90 ms 2592 KB Output is correct
3 Correct 85 ms 2348 KB Output is correct
4 Correct 114 ms 2388 KB Output is correct
5 Correct 98 ms 2388 KB Output is correct
6 Correct 85 ms 2392 KB Output is correct
7 Correct 96 ms 2360 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 485 ms 99268 KB Output is correct
12 Correct 466 ms 99080 KB Output is correct
13 Correct 487 ms 99412 KB Output is correct
14 Correct 476 ms 99668 KB Output is correct
15 Correct 479 ms 99152 KB Output is correct
16 Correct 490 ms 99096 KB Output is correct
17 Correct 489 ms 99372 KB Output is correct
18 Correct 463 ms 99152 KB Output is correct
19 Correct 3 ms 1116 KB Output is correct
20 Correct 1 ms 344 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 2 ms 600 KB Output is correct
27 Correct 2 ms 604 KB Output is correct
28 Correct 2 ms 604 KB Output is correct
29 Correct 2 ms 604 KB Output is correct
30 Correct 2 ms 604 KB Output is correct
31 Correct 1 ms 604 KB Output is correct
32 Correct 2 ms 604 KB Output is correct
33 Correct 2 ms 604 KB Output is correct
34 Correct 2 ms 664 KB Output is correct
35 Correct 2 ms 604 KB Output is correct
36 Correct 2 ms 700 KB Output is correct
37 Correct 1 ms 344 KB Output is correct
38 Correct 1 ms 348 KB Output is correct
39 Correct 1 ms 348 KB Output is correct
40 Correct 481 ms 98724 KB Output is correct
41 Correct 65 ms 2132 KB Output is correct
42 Correct 64 ms 2132 KB Output is correct
43 Correct 54 ms 2132 KB Output is correct
44 Correct 65 ms 2388 KB Output is correct
45 Correct 74 ms 2304 KB Output is correct
46 Correct 65 ms 2368 KB Output is correct
47 Correct 0 ms 348 KB Output is correct
48 Correct 0 ms 348 KB Output is correct
49 Correct 1 ms 456 KB Output is correct
50 Correct 503 ms 97816 KB Output is correct
51 Correct 490 ms 98644 KB Output is correct
52 Correct 504 ms 97872 KB Output is correct
53 Correct 501 ms 97928 KB Output is correct
54 Correct 491 ms 98640 KB Output is correct
55 Correct 500 ms 98896 KB Output is correct
56 Correct 506 ms 98900 KB Output is correct
57 Correct 521 ms 99096 KB Output is correct
58 Correct 473 ms 98572 KB Output is correct
59 Correct 475 ms 98204 KB Output is correct
60 Correct 484 ms 98384 KB Output is correct
61 Correct 660 ms 99664 KB Output is correct
62 Correct 91 ms 2384 KB Output is correct
63 Correct 95 ms 2384 KB Output is correct
64 Correct 93 ms 2368 KB Output is correct
65 Correct 96 ms 2384 KB Output is correct
66 Correct 95 ms 2268 KB Output is correct
67 Correct 110 ms 2384 KB Output is correct
68 Correct 1 ms 344 KB Output is correct
69 Correct 1 ms 348 KB Output is correct
70 Correct 0 ms 348 KB Output is correct
71 Correct 640 ms 97968 KB Output is correct
72 Correct 644 ms 99568 KB Output is correct
73 Correct 656 ms 97904 KB Output is correct
74 Correct 653 ms 97904 KB Output is correct
75 Correct 647 ms 99664 KB Output is correct
76 Correct 665 ms 99668 KB Output is correct
77 Correct 659 ms 99664 KB Output is correct
78 Correct 672 ms 99736 KB Output is correct
79 Correct 660 ms 99564 KB Output is correct
80 Correct 647 ms 99604 KB Output is correct
81 Correct 676 ms 99680 KB Output is correct
82 Correct 772 ms 99188 KB Output is correct
83 Correct 99 ms 2308 KB Output is correct
84 Correct 97 ms 2388 KB Output is correct
85 Correct 96 ms 2468 KB Output is correct
86 Correct 103 ms 2384 KB Output is correct
87 Correct 102 ms 2384 KB Output is correct
88 Correct 98 ms 2388 KB Output is correct
89 Correct 0 ms 344 KB Output is correct
90 Correct 1 ms 348 KB Output is correct
91 Correct 0 ms 348 KB Output is correct
92 Correct 741 ms 97940 KB Output is correct
93 Correct 778 ms 99152 KB Output is correct
94 Correct 760 ms 98136 KB Output is correct
95 Correct 745 ms 98076 KB Output is correct
96 Correct 697 ms 98140 KB Output is correct
97 Correct 662 ms 98276 KB Output is correct
98 Correct 697 ms 98040 KB Output is correct
99 Correct 766 ms 99156 KB Output is correct
100 Correct 782 ms 99668 KB Output is correct
101 Correct 813 ms 99960 KB Output is correct
102 Correct 804 ms 99664 KB Output is correct
103 Correct 762 ms 99296 KB Output is correct
104 Correct 765 ms 99292 KB Output is correct
105 Correct 731 ms 99340 KB Output is correct
106 Correct 875 ms 104528 KB Output is correct
107 Correct 121 ms 3832 KB Output is correct
108 Correct 118 ms 3668 KB Output is correct
109 Correct 118 ms 3684 KB Output is correct
110 Correct 0 ms 344 KB Output is correct
111 Correct 1 ms 344 KB Output is correct
112 Correct 0 ms 348 KB Output is correct
113 Correct 772 ms 103636 KB Output is correct
114 Correct 770 ms 103764 KB Output is correct
115 Correct 748 ms 103512 KB Output is correct
116 Correct 750 ms 103576 KB Output is correct
117 Correct 961 ms 104472 KB Output is correct
118 Correct 762 ms 103544 KB Output is correct
119 Correct 746 ms 103584 KB Output is correct
120 Correct 533 ms 102480 KB Output is correct
121 Correct 528 ms 102176 KB Output is correct
122 Correct 535 ms 102176 KB Output is correct
123 Correct 502 ms 101204 KB Output is correct
124 Correct 501 ms 101200 KB Output is correct
125 Correct 495 ms 101200 KB Output is correct
126 Correct 895 ms 101200 KB Output is correct
127 Correct 901 ms 101200 KB Output is correct
128 Correct 914 ms 104532 KB Output is correct
129 Correct 928 ms 101328 KB Output is correct
130 Correct 710 ms 101468 KB Output is correct
131 Correct 701 ms 101200 KB Output is correct
132 Correct 692 ms 101200 KB Output is correct
133 Correct 863 ms 104512 KB Output is correct
134 Correct 871 ms 104608 KB Output is correct
135 Correct 904 ms 104492 KB Output is correct
136 Correct 116 ms 3760 KB Output is correct
137 Correct 116 ms 3668 KB Output is correct
138 Correct 117 ms 3664 KB Output is correct