oj.uz

Submission #704964

# Submission time Handle Problem Language Result Execution time Memory
704964 2023-03-03T07:20:58 Z Cyanmond Crossing (JOI21_crossing) C++17
100 / 100
 1276 ms 115980 KB 
#include <bits/stdc++.h>

using i64 = long long;
constexpr i64 mod1 = 1000000007;
constexpr i64 mod2 = 998244353;

using T = std::pair<i64, i64>;
T addm1(T a, T b) {
    return {(a.first + b.first) % mod1, (a.second + b.second) % mod1};
}
T em() {
    return {0, 0};
}
T mapm1(i64 a, T b) {
    if (a == -1) return b;
    b.first = a * b.second;
    b.first %= mod1;
    return b;
}
i64 compm1(i64 a, i64 b) {
    if (a == -1) return b;
    return a;
}
i64 id() {
    return -1;
}

struct LazySegTreem1 {
    int n, size, logn;
    std::vector<T> node;
    std::vector<i64> lazy;

    void update(int i) {
        node[i] = addm1(node[2 * i], node[2 * i + 1]);
    }

    void ang(int i, i64 f) {
        node[i] = mapm1(f, node[i]);
        if (i < size) {
            lazy[i] = compm1(f, lazy[i]);
        }
    }

    void push(int i) {
        ang(2 * i, lazy[i]);
        ang(2 * i + 1, lazy[i]);
        lazy[i] = id();
    }

    LazySegTreem1() {}

    LazySegTreem1(const std::vector<T> &vec) {
        n = (int)vec.size();
        logn = 0;
        while ((1 << logn) < n) ++logn;
        size = 1 << logn;
        node.assign(2 * size, em());
        lazy.assign(size, id());
        std::copy(vec.begin(), vec.end(), node.begin() + size);
        for (int i = size - 1; i >= 1; --i) {
            update(i);
        }
    }

    void apply(int l, int r, i64 f) {
        l += size, r += size;
        for (int d = logn; d >= 1; --d) {
            if (((l >> d) << d) != l) push(l >> d);
            if (((r >> d) << d) != r) push((r - 1) >> d);
        }
        int l2 = l, r2 = r;
        while (l < r) {
            if (l & 1) ang(l++, f);
            if (r & 1) ang(--r, f);
            l /= 2, r /= 2;
        }
        l = l2, r = r2;
        for (int d = 1; d <= logn; ++d) {
            if (((l >> d) << d) != l) update(l >> d);
            if (((r >> d) << d) != r) update((r - 1) >> d);
        }
    }

    T fold(int l, int r) {
        l += size, r += size;
        for (int d = logn; d >= 1; --d) {
            if (((l >> d) << d) != l) push(l >> d);
            if (((r >> d) << d) != r) push((r - 1) >> d);
        }
        T pL = em(), pR = em();
        while (l < r) {
            if (l & 1) pL = addm1(pL, node[l++]);
            if (r & 1) pR = addm1(node[--r], pR);
            l /= 2;
            r /= 2;
        }
        return addm1(pL, pR);
    }
};

std::string cross(const std::string &a, const std::string &b) {
    std::string c;
    c.reserve(a.size());
    for (int i = 0; i < (int)a.size(); ++i) {
        if (a[i] == b[i]) {
            c.push_back(a[i]);
        } else {
            char x = 'J' xor 'O' xor 'I';
            x ^= a[i];
            x ^= b[i];
            c.push_back(x);
        }
    }
    return c;
}

constexpr i64 iHs = 7;
std::uniform_int_distribution<int> dist(0, 1000000000);
std::mt19937 mt(100);
std::array<i64, 3> h4 = {{999996919, 999976379, 999939407}}; 

int main() {
    std::ios::sync_with_stdio(false);
    std::cin.tie(nullptr);
    int N;
    std::cin >> N;
    std::vector<i64> powsm1(N);
    powsm1[0] = 1;
    for (int i = 1; i < N; ++i) {
        powsm1[i] = (powsm1[i - 1] * iHs) % mod1;
    }

    std::string S1, S2, S3;
    std::cin >> S1 >> S2 >> S3;
    int Q;
    std::cin >> Q;
    std::string T0;
    std::cin >> T0;
    std::vector<int> L(Q), R(Q);
    std::vector<char> C(Q);
    for (int i = 0; i < Q; ++i) {
        std::cin >> L[i] >> R[i] >> C[i];
        --L[i];
    }

    std::set<std::string> flowers;
    std::queue<std::string> ns;
    ns.push(S1);
    ns.push(S2);
    ns.push(S3);
    flowers.insert(S1);
    flowers.insert(S2);
    flowers.insert(S3);
    while (not ns.empty()) {
        const auto t = ns.front();
        ns.pop();
        auto nflowers = flowers;
        for (const auto &q : flowers) {
            const auto r = cross(t, q);
            if (nflowers.find(r) == nflowers.end()) {
                nflowers.insert(r);
                ns.push(r);
            }
        }
        flowers = nflowers;
    }

    const int M = (int)flowers.size();
    assert(M <= 20);
    std::vector<std::string> fs;
    for (const auto &e : flowers) {
        fs.push_back(e);
    }
    std::vector<LazySegTreem1> segm1s(M);
    for (int x = 0; x < M; ++x) {
        std::vector<T> initVecm1(N);
        for (int i = 0; i < N; ++i) {
            const auto v = (fs[x][i] == 'J' ? h4[0] : (fs[x][i] == 'O' ? h4[1] : h4[2]));
            initVecm1[i] = {(v * powsm1[i]) % mod1, powsm1[i]};
        }
        segm1s[x] = LazySegTreem1(initVecm1);
    }
    std::vector<T> initVecm1(N);
    for (int i = 0; i < N; ++i) {
        const auto v = (T0[i] == 'J' ? h4[0] : (T0[i] == 'O' ? h4[1] : h4[2]));
        initVecm1[i] = {(v * powsm1[i]) % mod1, powsm1[i]};
    }
    LazySegTreem1 iUsegm1(initVecm1);

    std::cout << (flowers.find(T0) != flowers.end() ? "Yes" : "No") << std::endl;
    for (int x = 0; x < Q; ++x) {
        iUsegm1.apply(L[x], R[x], (C[x] == 'J' ? h4[0] : (C[x] == 'O' ? h4[1] : h4[2])));
        bool answer = false;
        for (int i = 0; i < M; ++i) {
            bool b = iUsegm1.fold(0, N).first == segm1s[i].fold(0, N).first;
            if (b) answer = true;
        }
        std::cout << (answer ? "Yes" : "No") << std::endl;
    }
    /*
    std::vector<int> sameLimitL(M, N), sameLimitR(M, 0);
    std::vector<std::vector<std::pair<int, int>>> pressInfo(M);
    for (int x = 0; x < M; ++x) {
        const auto &f = fs[x];
        for (int i = 0; i < N; ++i) {
            if (f[i] != T0[i]) {
                sameLimitL[x] = i;
                break;
            }
        }
        for (int i = N - 1; i >= 0; --i) {
            if (f[i] != T0[i]) {
                sameLimitR[i] = i + 1;
                break;
            }
        }

        int lastI = 0;
        for (int i = 1; i < N; ++i) {
            if (fs[lastI] != fs[i]) {
                pressInfo[x].push_back({lastI, i - lastI});
                lastI = i;
            }
        }
        pressInfo[x].push_back({lastI, N - lastI});
    }

    std::cout << (flowers.find(T0) != flowers.end() ? "Yes" : "No") << std::endl;
    for (int i = 0; i < Q; ++i) {
        bool answer = false;
        for (int x = 0; x < M; ++x) {
            // judge
            if (sameLimitL[x] < L[i]) {
                continue;
            }
            if (sameLimitR[x] > R[i]) {
                continue;
            }
            auto itr = std::lower_bound(pressInfo[x].begin(), pressInfo[x].end(), std::make_pair(L[i], N + 1));
            --itr;
            if (itr->first + itr->second < R[i]) {
                continue;
            }
            if (fs[x][L[i]] != C[i]) {
                continue;
            }
            answer = true;
            break;
        }
        std::cout << (answer ? "Yes" : "No") << std::endl;
    }
    */
}

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 309 ms 2744 KB Output is correct
2 Correct 356 ms 2844 KB Output is correct
3 Correct 353 ms 2888 KB Output is correct
4 Correct 330 ms 2764 KB Output is correct
5 Correct 355 ms 2876 KB Output is correct
6 Correct 312 ms 2724 KB Output is correct
7 Correct 337 ms 2972 KB Output is correct
8 Correct 347 ms 2892 KB Output is correct
9 Correct 349 ms 3016 KB Output is correct
10 Correct 341 ms 2828 KB Output is correct
11 Correct 346 ms 2960 KB Output is correct
12 Correct 339 ms 2792 KB Output is correct
13 Correct 348 ms 2844 KB Output is correct
14 Correct 341 ms 2820 KB Output is correct
15 Correct 365 ms 2784 KB Output is correct
16 Correct 454 ms 2996 KB Output is correct
17 Correct 346 ms 2840 KB Output is correct
18 Correct 345 ms 2900 KB Output is correct

Subtask #2
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 309 ms 2744 KB Output is correct
2 Correct 356 ms 2844 KB Output is correct
3 Correct 353 ms 2888 KB Output is correct
4 Correct 330 ms 2764 KB Output is correct
5 Correct 355 ms 2876 KB Output is correct
6 Correct 312 ms 2724 KB Output is correct
7 Correct 337 ms 2972 KB Output is correct
8 Correct 347 ms 2892 KB Output is correct
9 Correct 349 ms 3016 KB Output is correct
10 Correct 341 ms 2828 KB Output is correct
11 Correct 346 ms 2960 KB Output is correct
12 Correct 339 ms 2792 KB Output is correct
13 Correct 348 ms 2844 KB Output is correct
14 Correct 341 ms 2820 KB Output is correct
15 Correct 365 ms 2784 KB Output is correct
16 Correct 454 ms 2996 KB Output is correct
17 Correct 346 ms 2840 KB Output is correct
18 Correct 345 ms 2900 KB Output is correct
19 Correct 566 ms 29428 KB Output is correct
20 Correct 544 ms 29388 KB Output is correct
21 Correct 528 ms 28852 KB Output is correct
22 Correct 735 ms 28228 KB Output is correct
23 Correct 421 ms 4360 KB Output is correct
24 Correct 450 ms 4364 KB Output is correct
25 Correct 483 ms 29348 KB Output is correct
26 Correct 566 ms 29316 KB Output is correct
27 Correct 542 ms 29336 KB Output is correct
28 Correct 537 ms 29212 KB Output is correct
29 Correct 542 ms 29012 KB Output is correct
30 Correct 480 ms 4260 KB Output is correct
31 Correct 546 ms 29368 KB Output is correct
32 Correct 557 ms 28672 KB Output is correct
33 Correct 444 ms 4232 KB Output is correct
34 Correct 507 ms 29268 KB Output is correct
35 Correct 457 ms 27576 KB Output is correct
36 Correct 540 ms 4196 KB Output is correct
37 Correct 434 ms 4260 KB Output is correct
38 Correct 551 ms 29308 KB Output is correct
39 Correct 485 ms 29360 KB Output is correct
40 Correct 470 ms 16992 KB Output is correct
41 Correct 564 ms 29528 KB Output is correct
42 Correct 424 ms 29512 KB Output is correct

Subtask #3
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 309 ms 2744 KB Output is correct
2 Correct 356 ms 2844 KB Output is correct
3 Correct 353 ms 2888 KB Output is correct
4 Correct 330 ms 2764 KB Output is correct
5 Correct 355 ms 2876 KB Output is correct
6 Correct 312 ms 2724 KB Output is correct
7 Correct 337 ms 2972 KB Output is correct
8 Correct 347 ms 2892 KB Output is correct
9 Correct 349 ms 3016 KB Output is correct
10 Correct 341 ms 2828 KB Output is correct
11 Correct 346 ms 2960 KB Output is correct
12 Correct 339 ms 2792 KB Output is correct
13 Correct 348 ms 2844 KB Output is correct
14 Correct 341 ms 2820 KB Output is correct
15 Correct 365 ms 2784 KB Output is correct
16 Correct 454 ms 2996 KB Output is correct
17 Correct 346 ms 2840 KB Output is correct
18 Correct 345 ms 2900 KB Output is correct
19 Correct 495 ms 2836 KB Output is correct
20 Correct 486 ms 2892 KB Output is correct
21 Correct 373 ms 2900 KB Output is correct
22 Correct 363 ms 2828 KB Output is correct
23 Correct 390 ms 2892 KB Output is correct
24 Correct 414 ms 2808 KB Output is correct
25 Correct 392 ms 2896 KB Output is correct
26 Correct 432 ms 2824 KB Output is correct
27 Correct 399 ms 2956 KB Output is correct
28 Correct 382 ms 2664 KB Output is correct
29 Correct 438 ms 2788 KB Output is correct
30 Correct 466 ms 2660 KB Output is correct
31 Correct 562 ms 2904 KB Output is correct
32 Correct 584 ms 2924 KB Output is correct
33 Correct 552 ms 2896 KB Output is correct
34 Correct 477 ms 2764 KB Output is correct
35 Correct 577 ms 2904 KB Output is correct
36 Correct 573 ms 2848 KB Output is correct
37 Correct 525 ms 2924 KB Output is correct
38 Correct 681 ms 3160 KB Output is correct
39 Correct 594 ms 2856 KB Output is correct
40 Correct 576 ms 3036 KB Output is correct
41 Correct 540 ms 2904 KB Output is correct
42 Correct 761 ms 2896 KB Output is correct
43 Correct 567 ms 2920 KB Output is correct
44 Correct 516 ms 2900 KB Output is correct

Subtask #4
51.0 / 51.0

# Verdict Execution time Memory Grader output
1 Correct 309 ms 2744 KB Output is correct
2 Correct 356 ms 2844 KB Output is correct
3 Correct 353 ms 2888 KB Output is correct
4 Correct 330 ms 2764 KB Output is correct
5 Correct 355 ms 2876 KB Output is correct
6 Correct 312 ms 2724 KB Output is correct
7 Correct 337 ms 2972 KB Output is correct
8 Correct 347 ms 2892 KB Output is correct
9 Correct 349 ms 3016 KB Output is correct
10 Correct 341 ms 2828 KB Output is correct
11 Correct 346 ms 2960 KB Output is correct
12 Correct 339 ms 2792 KB Output is correct
13 Correct 348 ms 2844 KB Output is correct
14 Correct 341 ms 2820 KB Output is correct
15 Correct 365 ms 2784 KB Output is correct
16 Correct 454 ms 2996 KB Output is correct
17 Correct 346 ms 2840 KB Output is correct
18 Correct 345 ms 2900 KB Output is correct
19 Correct 566 ms 29428 KB Output is correct
20 Correct 544 ms 29388 KB Output is correct
21 Correct 528 ms 28852 KB Output is correct
22 Correct 735 ms 28228 KB Output is correct
23 Correct 421 ms 4360 KB Output is correct
24 Correct 450 ms 4364 KB Output is correct
25 Correct 483 ms 29348 KB Output is correct
26 Correct 566 ms 29316 KB Output is correct
27 Correct 542 ms 29336 KB Output is correct
28 Correct 537 ms 29212 KB Output is correct
29 Correct 542 ms 29012 KB Output is correct
30 Correct 480 ms 4260 KB Output is correct
31 Correct 546 ms 29368 KB Output is correct
32 Correct 557 ms 28672 KB Output is correct
33 Correct 444 ms 4232 KB Output is correct
34 Correct 507 ms 29268 KB Output is correct
35 Correct 457 ms 27576 KB Output is correct
36 Correct 540 ms 4196 KB Output is correct
37 Correct 434 ms 4260 KB Output is correct
38 Correct 551 ms 29308 KB Output is correct
39 Correct 485 ms 29360 KB Output is correct
40 Correct 470 ms 16992 KB Output is correct
41 Correct 564 ms 29528 KB Output is correct
42 Correct 424 ms 29512 KB Output is correct
43 Correct 495 ms 2836 KB Output is correct
44 Correct 486 ms 2892 KB Output is correct
45 Correct 373 ms 2900 KB Output is correct
46 Correct 363 ms 2828 KB Output is correct
47 Correct 390 ms 2892 KB Output is correct
48 Correct 414 ms 2808 KB Output is correct
49 Correct 392 ms 2896 KB Output is correct
50 Correct 432 ms 2824 KB Output is correct
51 Correct 399 ms 2956 KB Output is correct
52 Correct 382 ms 2664 KB Output is correct
53 Correct 438 ms 2788 KB Output is correct
54 Correct 466 ms 2660 KB Output is correct
55 Correct 562 ms 2904 KB Output is correct
56 Correct 584 ms 2924 KB Output is correct
57 Correct 552 ms 2896 KB Output is correct
58 Correct 477 ms 2764 KB Output is correct
59 Correct 577 ms 2904 KB Output is correct
60 Correct 573 ms 2848 KB Output is correct
61 Correct 525 ms 2924 KB Output is correct
62 Correct 681 ms 3160 KB Output is correct
63 Correct 594 ms 2856 KB Output is correct
64 Correct 576 ms 3036 KB Output is correct
65 Correct 540 ms 2904 KB Output is correct
66 Correct 761 ms 2896 KB Output is correct
67 Correct 567 ms 2920 KB Output is correct
68 Correct 516 ms 2900 KB Output is correct
69 Correct 1228 ms 112912 KB Output is correct
70 Correct 1160 ms 114984 KB Output is correct
71 Correct 546 ms 5692 KB Output is correct
72 Correct 524 ms 5716 KB Output is correct
73 Correct 682 ms 5672 KB Output is correct
74 Correct 640 ms 49248 KB Output is correct
75 Correct 557 ms 5576 KB Output is correct
76 Correct 656 ms 50548 KB Output is correct
77 Correct 644 ms 49344 KB Output is correct
78 Correct 516 ms 5524 KB Output is correct
79 Correct 607 ms 5676 KB Output is correct
80 Correct 1276 ms 111840 KB Output is correct
81 Correct 967 ms 9580 KB Output is correct
82 Correct 1193 ms 114716 KB Output is correct
83 Correct 1245 ms 114684 KB Output is correct
84 Correct 872 ms 10040 KB Output is correct
85 Correct 847 ms 10120 KB Output is correct
86 Correct 1260 ms 112960 KB Output is correct
87 Correct 1166 ms 115504 KB Output is correct
88 Correct 918 ms 10108 KB Output is correct
89 Correct 1210 ms 113804 KB Output is correct
90 Correct 1088 ms 115428 KB Output is correct
91 Correct 823 ms 10392 KB Output is correct
92 Correct 1135 ms 113080 KB Output is correct
93 Correct 882 ms 10484 KB Output is correct
94 Correct 827 ms 10404 KB Output is correct
95 Correct 863 ms 10404 KB Output is correct
96 Correct 512 ms 30104 KB Output is correct
97 Correct 1170 ms 115680 KB Output is correct
98 Correct 768 ms 60904 KB Output is correct
99 Correct 1273 ms 115572 KB Output is correct
100 Correct 1134 ms 115980 KB Output is correct