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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#709656#9429. SubarrayHojstyerRE 576ms90300kbC++206.2kb2024-11-04 16:04:312024-11-04 16:04:33

Judging History

This is the latest submission verdict.

  • [2024-11-04 16:04:33]
  • Judged
  • Verdict: RE
  • Time: 576ms
  • Memory: 90300kb
  • [2024-11-04 16:04:31]
  • Submitted

answer

#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
const int MAXN = 1e6 + 10;
const int p = 998244353, g = 3, gi = 332748118;
ll qpow(ll a, ll b)
{
    ll res = 1;
    while (b)
    {
        if (b & 1)
            res = res * a % p;
        a = a * a % p;
        b >>= 1;
    }
    return res;
}
vector<int> R(MAXN);

void NTT(vector<ll> &A, int n, int op)
{
    // op:是否逆

    // 利用二进制的一半是其二进制右移一位的性质
    // 反转后其二进制是其一半反转后右移一位。 最左边的位数为其最右边的位数反转
    for (int i = 0; i < n; i++)
        R[i] = R[i / 2] / 2 + ((i & 1) ? n / 2 : 0);

    // 只有比其小再交换,防止交换两次回到原来的位置
    for (int i = 0; i < n; i++)
        if (i < R[i])
            swap(A[i], A[R[i]]);

    // 合并区间长度的一半
    for (int i = 2; i <= n; i <<= 1)
    {
        ll g1 = qpow(op == 1 ? g : gi, (p - 1) / i);
        // 合并区间在整个区间的哪个位置
        for (int j = 0; j < n; j += i)
        {
            ll gk = 1;
            // 在合并区间的位置
            for (int k = j; k < j + i / 2; k++, gk = gk * g1 % p)
            {
                ll x = A[k], y = gk * A[k + i / 2] % p;
                A[k] = (x + y) % p;
                A[k + i / 2] = (p + x - y) % p;
            }
        }
    }
}

template <typename T>
struct ST
{
    T MAX = 1e9;
    vector<vector<T>> maxn;
    vector<T> a;
    const int m = 20;
    vector<T> LOG;

    ST() {}
    ST(int n, vector<T> b)
    {
        a.resize(n + 1, 0);
        a = b;
        init(n);
    }

    void init(int n)
    {
        if (std::is_same<T, ll>::value)
            MAX = 1e18;
        maxn.resize(n + 1, vector<T>(m + 1, -MAX));
        LOG.resize(n + 1, 0);
        for (int i = 1; i <= n; i++)
            maxn[i][0] = a[i];
        LOG[1] = 0;
        for (int i = 2; i <= n; i++)
            LOG[i] = LOG[i / 2] + 1;
        for (int j = 1; (1 << j) <= n; j++)
            for (int i = 1; i + (1 << (j - 1)) <= n; i++)
                maxn[i][j] = max(maxn[i][j - 1], maxn[i + (1 << (j - 1))][j - 1]);
    }

    T query_max(int l, int r)
    {
        int d = LOG[r - l + 1];
        return max(maxn[l][d], maxn[r - (1 << d) + 1][d]);
    }
};

void solve()
{
    int n;
    cin >> n;
    vector<int> a(n + 1);
    vector<int> s;
    for (int i = 1; i <= n; ++i)
    {
        cin >> a[i];
        s.push_back(a[i]);
    }
    sort(s.begin(), s.end());
    int cnt = s.erase(unique(s.begin(), s.end()), s.end()) - s.begin();
    map<int, int> rk;
    for (int i = 0; i < cnt; ++i)
        rk[s[i]] = i + 1;
    for (int i = 1; i <= n; ++i)
        a[i] = rk[a[i]];

    vector<ll> ans(n + 1);
    ST<int> st(n, a);
    vector<vector<array<int, 3>>> seg(n + 1);
    for (int i = 1; i <= n; ++i)
    {
        int lf = i, rf = i;
        int l = 1, r = i - 1, pos = -1;
        while (l <= r)
        {
            int mid = l + r >> 1;
            if (st.query_max(mid, i - 1) < a[i])
                r = mid - 1, pos = mid;
            else
                l = mid + 1;
        }
        if (pos != -1)
            lf = pos;

        l = i + 1, r = n, pos = -1;
        while (l <= r)
        {
            int mid = l + r >> 1;
            if (st.query_max(i + 1, mid) < a[i])
                l = mid + 1, pos = mid;
            else
                r = mid - 1;
        }
        if (pos != -1)
            rf = pos;
        seg[a[i]].push_back({lf, rf, i});
    }

    for (int i = 1; i <= n; ++i)
    {
        if (seg[i].empty())
            continue;
        vector<ll> g;
        int lstr = -1, rf = 0;
        for (auto [l, r, pos] : seg[i])
        {
            if (lstr == -1)
                lstr = pos, rf = r, g.push_back(pos - l + 1);
            else
            {
                if (pos == rf + 1)
                {
                    g.push_back(pos - lstr);
                    lstr = pos, rf = r;
                }
                else
                {
                    g.push_back(rf - lstr + 1);
                    // FFT
                    int m = g.size();
                    int k = 1;
                    while (k < m * 2)
                        k <<= 1;
                    vector<ll> lenf(k + 1), leng(k + 1);
                    for (int i = 0; i < m; ++i)
                        lenf[i] = g[i], leng[m - i - 1] = g[i];
                    NTT(lenf, k, 1);
                    NTT(leng, k, 1);
                    for (int i = 0; i <= k; ++i)
                        lenf[i] = lenf[i] * leng[i] % p;
                    NTT(lenf, k, -1);
                    int inv = qpow(k, p - 2);
                    for (int i = 0; i <= k; ++i)
                        lenf[i] = lenf[i] * inv % p;
                    for (int i = 1; i < m; ++i)
                        ans[i] = (ans[i] + lenf[m - i - 1]) % p;

                    lstr = pos, rf = r;
                    g.clear();
                    g.push_back(pos - l + 1);
                }
            }
        }

        g.push_back(rf - lstr + 1);
        int m = g.size();
        int k = 1;
        while (k < m * 2)
            k <<= 1;
        vector<ll> lenf(k + 1), leng(k + 1);
        for (int i = 0; i < m; ++i)
            lenf[i] = g[i], leng[m - i - 1] = g[i];
        NTT(lenf, k, 1);
        NTT(leng, k, 1);
        for (int i = 0; i <= k; ++i)
            lenf[i] = lenf[i] * leng[i] % p;
        NTT(lenf, k, -1);
        int inv = qpow(k, p - 2);
        for (int i = 0; i <= k; ++i)
            lenf[i] = lenf[i] * inv % p;
        for (int i = 1; i < m; ++i)
            ans[i] = (ans[i] + lenf[m - i - 1]) % p;
        g.clear();
    }

    // for (int i = 1; i <= n; ++i)
    //     cerr << i << " " << ans[i] << '\n';

    ll res = 0;
    for (int i = 1; i <= n; ++i)
        res = (res + 1ll * i * ans[i] % p * ans[i] % p) % p;
    cout << res << '\n';
}

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

    int t = 1;
    cin >> t;
    while (t--)
    {
        solve();
    }
    return 0;
}

詳細信息

Test #1:

score: 100
Accepted
time: 1ms
memory: 6704kb

input:

3
11
1 1 2 1 2 2 3 3 2 3 1
3
2024 5 26
3
1000000000 1000000000 1000000000

output:

2564
36
20

result:

ok 3 lines

Test #2:

score: 0
Accepted
time: 312ms
memory: 28112kb

input:

2522
12
642802746 634074578 642802746 634074578 642802746 634074578 634074578 642802746 740396295 634074578 740396295 634074578
16
305950462 400920468 400920468 305950462 400920468 305950462 400920468 400920468 400920468 400920468 305950462 305950462 400920468 305950462 305950462 305950462
2
4405082...

output:

3610
7545
9
1
50
1006
16170
5972
3117
540
540
4417
12885
336
3185
83
9272
27
1794
2776
1793
196
27
1377
8783
19723
5385
1864
3478
7101
1
431
825
4534
9900
162
21644
6
36
14088
306
9
57
1719
72
9
4637
68
16583
17701
19390
16282
5440
1
6
1716
19541
3823
2033
24
825
429
1911
11787
11388
12255
12175
126...

result:

ok 2522 lines

Test #3:

score: 0
Accepted
time: 456ms
memory: 80620kb

input:

1
400000
860350786 641009859 939887597 54748096 641009859 860350786 710156469 985188306 476927808 641009859 985188306 322595515 322595515 973764525 54748096 939887597 54748096 476927808 588586447 669240390 54748096 476927808 669240390 804928248 669240390 75475634 804928248 669240390 985188306 754756...

output:

300998364

result:

ok single line: '300998364'

Test #4:

score: 0
Accepted
time: 492ms
memory: 78992kb

input:

1
400000
860422965 880311831 389867323 711027909 603801945 977217669 127611088 468302420 100563882 896362064 321065270 937796491 106388135 679974087 799365054 508500258 155801089 72992050 568198964 469117950 605828088 147285088 931759705 335154243 123769214 717250374 123769214 588271814 193910044 58...

output:

642490751

result:

ok single line: '642490751'

Test #5:

score: 0
Accepted
time: 576ms
memory: 81476kb

input:

1
400000
489576972 624268112 792793292 261080167 299965397 570683924 43370033 865049228 160224484 597021302 799302320 154578623 616009875 817736437 422498140 177450324 576706528 701882608 322199948 469659816 265384591 886524303 331787804 922381773 642896492 36870304 922875786 328785523 506357505 778...

output:

728396411

result:

ok single line: '728396411'

Test #6:

score: 0
Accepted
time: 225ms
memory: 79056kb

input:

1
400000
79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 798...

output:

805404149

result:

ok single line: '805404149'

Test #7:

score: 0
Accepted
time: 224ms
memory: 78012kb

input:

1
400000
4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 416...

output:

871688808

result:

ok single line: '871688808'

Test #8:

score: 0
Accepted
time: 259ms
memory: 80572kb

input:

1
400000
7913 7913 7913 7913 7913 7913 7913 7913 7913 7913 7913 7913 7913 7913 7913 7913 7913 7913 7913 7913 7913 19512 844861162 178869991 19512 19512 19512 19512 19512 19512 19512 135989768 19512 19512 19512 19512 19512 19512 19512 19512 220217 220217 220217 220217 220217 220217 220217 220217 2202...

output:

470566238

result:

ok single line: '470566238'

Test #9:

score: 0
Accepted
time: 327ms
memory: 90300kb

input:

1
400000
1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 2 2 1 2 1 2 1 1 2 1 2 2 1 2 1 2 2 1 1 1 1 2 1 1 1 2 1 1 2 2 1 1 1 1 2 2 1 1 1 2 1 2 1 2 2 1 2 2 2 1 1 2 2 1 2 2 1 1 1 1 2 2 1 1 1 1 2 1 2 2 1 2 1 1 2 2 1 1 2 2 2 1 2 2 2 2 1 2 1 2 1 1 2 2 2 1 1 1 2 1 1 1 1 2 2 2 1 1 2 2 1 2 2 1 1 1 2 1 2 2 2 1 1 2 1 2 1 1 2 2 2...

output:

188247686

result:

ok single line: '188247686'

Test #10:

score: 0
Accepted
time: 316ms
memory: 89564kb

input:

1
400000
1 1 1 1 1 2 2 1 1 1 2 2 1 2 2 1 2 1 1 2 1 1 2 1 2 2 1 2 2 1 2 2 2 1 2 1 2 2 2 1 1 1 2 2 1 2 2 1 1 1 2 1 2 1 2 2 1 2 1 2 1 1 1 2 2 1 1 2 2 2 1 1 2 2 2 2 2 2 2 1 2 2 1 2 1 1 2 1 2 1 2 1 1 1 1 2 1 1 2 2 1 1 1 2 2 1 2 1 1 1 2 1 1 2 1 1 1 1 1 2 1 1 1 2 2 1 2 2 1 1 1 2 1 1 1 1 2 1 1 1 2 1 2 1 2 2...

output:

534522621

result:

ok single line: '534522621'

Test #11:

score: 0
Accepted
time: 321ms
memory: 89504kb

input:

1
400000
2 2 1 1 1 2 1 1 2 2 1 1 1 1 1 1 1 1 2 1 2 2 1 2 2 2 2 1 1 2 1 2 1 1 2 2 2 2 1 2 1 2 1 1 1 2 2 1 2 1 1 1 2 1 1 2 2 1 1 2 2 2 2 2 2 2 1 2 2 2 1 1 1 2 2 1 2 2 2 2 2 1 1 1 1 2 1 2 1 1 1 1 2 1 1 1 2 1 1 2 2 2 1 2 2 1 2 1 2 2 1 2 2 1 1 2 1 2 1 1 2 1 1 2 1 2 1 2 2 2 1 2 2 1 1 2 1 2 2 2 1 2 1 1 2 1...

output:

315282614

result:

ok single line: '315282614'

Test #12:

score: -100
Runtime Error

input:

1
400000
7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7...

output:


result: