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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
#47918#4646. PhotosUESTC_Guest_WiFiAC ✓1091ms13708kbC++173.9kb2022-09-10 18:38:502022-09-10 18:38:52

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2022-09-10 18:38:52]
  • 评测
  • 测评结果:AC
  • 用时:1091ms
  • 内存:13708kb
  • [2022-09-10 18:38:50]
  • 提交

answer

#include <bits/stdc++.h>

#define ll long long
#define ls id << 1
#define rs id << 1 | 1
#define mem(array, value, size) memset(array, value, ((size) + 5) * sizeof(decltype(array[0])))
#define memarray(array, value) memset(array, value, sizeof(array))
#define fillarray(array, value, begin, end) fill((array) + (begin), (array) + (end) + 1, value)
#define fillvector(v, value) fill((v).begin(), (v).end(), value)
#define pb(x) push_back(x)
#define st(x) (1LL << (x))
#define pii pair<int, int>
#define pll pair<ll,ll>
#define pil pair<int,ll>
#define pli pair<ll,int>
#define mp(a, b) make_pair((a), (b))
#define Flush fflush(stdout)
#define vecfirst (*vec.begin())
#define veclast (*vec.rbegin())
#define vecall(v) (v).begin(), (v).end()
#define vecupsort(v) (sort((v).begin(), (v).end()))
#define vecdownsort(v) (sort(vecall(v), greater<decltype(v.back())>()))
#define veccmpsort(v, cmp) (sort(vecall(v), cmp))
#define vecunique(v) ((v).resize(unique(vecall(v))-(v).begin())
using namespace std;
using db = long double;
const int N = 1000050;
const int inf = 0x3f3f3f3f;
const ll llinf = 0x3f3f3f3f3f3f3f3f;
const int mod = 998244353;
const int MOD = 1e9 + 7;
const db PI = acos(-1.0L);
#define MULTIPLE_CASE
#define CLOSE_IOS

int add(int a, int b) { return (a + b) >= mod ? a + b - mod : a + b; }

int sub(int a, int b) { return (a - b) < 0 ? a - b + mod : a - b; }

int mul(long long a, long long b) { return add(a * b % mod, mod); }

const int M = 2;

struct mat {
    int a[M][M]{};

    mat() { memset(a, 0, sizeof(a)); }
};

mat operator*(const mat &A, const mat &B) {
    mat ret;
    for (int i = 0; i < M; ++i)
        for (int j = 0; j < M; ++j)
            for (int k = 0; k < M; ++k)
                ret.a[i][j] = add(ret.a[i][j], mul(A.a[i][k], B.a[k][j]));
    return ret;
}

mat ksm(mat a, int b) {
    mat ret;
    for (int i = 0; i < M; ++i)ret.a[i][i] = 1;
    while (b) {
        if (b & 1)ret = ret * a;
        a = a * a, (b >>= 1);
    }
    return ret;
}

int n, m;
pii s[N];
map<int, int> segs;

int cal1(int len) {
    mat mat_xi;
    mat_xi.a[0][0] = 3, mat_xi.a[0][1] = mod - 1, mat_xi.a[1][0] = 1;
    if (len > 1) {
        mat_xi = ksm(mat_xi, len - 1);
        int res = add(mat_xi.a[0][1], mul(mat_xi.a[0][0], 3));
        return res;
    } else {
        return len == 0 ? 1 : 3;
    }
}

int cal2(int len) {
    mat mat_xi;
    mat_xi.a[0][0] = 1, mat_xi.a[0][1] = 1;
    mat_xi.a[1][0] = 1;
    if (len > 2) {
        mat_xi = ksm(mat_xi, 2 * len + 1);
        int res = add(mat_xi.a[0][0], mul(mat_xi.a[0][1], 1));
        return sub(res, 1);
    } else {
        if (len == 0) return 1;
        if (len == 1) return 4;
        else return 12;
    }
}

void work() {
    int ans = cal1(s[1].first - 1);
    ans = mul(ans, cal1(n - s[m].second));
    for (int i = 1; i < m; ++i) {
        int l = s[i].second, r = s[i + 1].first;
        int res = cal2(r - l - 1);
        ans = mul(ans, add(res, 1));
    }
    cout << ans << "\n";
}

inline void solve() {
    cin >> n >> m;
    segs.clear();
    for (int i = 1; i <= m; ++i) {
        int x, y;
        cin >> x >> y;
        if (x > y) swap(x, y);
        segs[x]++, segs[y]--;
    }
    m = 0;
    int cnt = 0;
    for (auto &it: segs) {
        auto pos = it.first, c = it.second;
        if (cnt == 0 && c > 0)
            s[++m].first = pos;
        else if (cnt + c == 0) {
            if (cnt == 0) ++m, s[m].first = pos;
            s[m].second = pos;
        }
        cnt += c;
    }
    work();
}

int main() {
#ifdef CLOSE_IOS
    ios::sync_with_stdio(false), cin.tie(nullptr), cout.tie(nullptr);
#endif
    int Test = 1;
#ifdef MULTIPLE_CASE
#ifdef CLOSE_IOS
    cin >> Test;
#else
    scanf("%d", &Test);
#endif
#endif
    while (Test--) {
        solve();
        // if (Test)
        //     putchar('\n');
    }
    return 0;
}

详细

Test #1:

score: 100
Accepted
time: 1091ms
memory: 13708kb

input:

1408
999999987 100000
793040645 793040645
405719679 405719686
109446201 109446201
966244831 966244831
649934379 649934388
270235074 270235080
475603749 475603754
517746359 517746359
692479018 692479026
620056281 620056289
479316573 479316580
99301874 99301874
197649180 197649188
266341447 266341449
...

output:

991600316
319234130
93841910
206794274
263051780
82690092
131084460
239778094
709347248
326810262
294182113
972258718
740886273
876778123
908531500
401101074
43928585
129509578
494010178
667853498
702904367
522176720
720297418
956798992
931058784
227927814
489184304
815395422
760542660
383948722
138...

result:

ok 1408 lines