답안 #633824

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
633824 2022-08-23T09:30:11 Z 406 Party (INOI20_party) C++17
63 / 100
3000 ms 1392 KB
#include <bits/stdc++.h>
using ll = long long;
using namespace std;
#define forn(a, b) for (int a = 0; a < (b); a++)
#define rofn(a, b) for (int a = (b) - 1; a >= 0; a--)
#define LOG(a) (63 - __builtin_clzll(a))
#define gc() (pt1==pt2&&(pt2=(pt1=buf)+fread(buf,1,1<<21,stdin),pt1==pt2)?EOF:*pt1++)
char buf[1<<21],*pt1,*pt2;

inline ll read() {
	ll x = 0;char c;
	while(!isdigit(c = gc()));
	while(isdigit(c)) x = (x<<3)+(x<<1)+(c^48), c = gc();
	return x;
}

const ll INFL = 1ll << 60;
const int INF = 1 << 29;
const int N = 61;
const int M = 2 * N;
const int MOD = 1e9 + 7;
const int X1 = 1e5;
const int X2 = 1e5;

ll d0[M][M], d1[M][M];
ll n;
int ptr, ans, q, cnt;
int pw2[X1 + 1], hwt[X2 + 1];

inline ll pw(ll a, int b) {
    ll re = 1;
    while (b) {
        if (b & 1)
            re = (re * a) % MOD;
        a = (a * a) % MOD;
        b >>= 1;
    }
    return re;
}

inline int p2(ll b) {
    b %= (MOD - 1);
    /*
    ll a = 1;
    while (b > X) {
        a = (a * pw2[X]) % MOD;
        b -= X;
    }
    return a * pw2[b] % MOD;
    */
    return 1ll * hwt[b / X1] * pw2[b % X1] % MOD;
}

void calc_dist(ll v) {
    for (int k = LOG(v) + 1; k < N; k++) {
        int x = k - LOG(v) - 1;
        if ((v << x) > n)
            d1[ptr][x] = 0;
        else 
            d1[ptr][x] = min(n - (v << x) + 1, ((ll)1 << x));
    }
    if (v > 1) {
        for (int k = 2; k < N; k++)
            d0[ptr][k] -= d1[ptr][k - 2];
    }
}

inline void pass() {
    for (int k = 1; k < M; k++)
        d0[ptr + 1][k] = d0[ptr][k - 1] + d1[ptr][k - 1];
    ptr++;
}

void Complete(ll v) {
    //cout << "C: " << v << ' ' << sub << " PTR: " << ptr << '\n';
    calc_dist(v);

    if ((v << 1) <= n) {
        pass();
        Complete(v << 1);
        q <<= 1;
        if (q >= MOD)
            q -= MOD;
    }

    ll s = 0;
    for (int k = 0; s != n; k++) {
        s += d0[ptr][k] + d1[ptr][k];
        q += p2(n - s) - 1;
        if (q >= MOD)
            q -= MOD;
    }
    ptr--;
}

inline int solve(ll a, ll b) {
    int x = LOG(b) - LOG(a);
    a <<= x;
    return x + (a <= b);
}

void F(ll v, ll sub) {

    //cout << "F: " << v << ' ' << sub << " PTR: " << ptr << '\n';
    calc_dist(v);

    ll r = (v << 1) | 1;
    ll l = (v << 1);
    int cntr = solve(r, n), cntl = solve(l, n);

    if (cntr == cntl) {
        q = 0;
        if ((v << 1) <= n) {
            pass();
            Complete(v << 1);
            ans += q;
            if (ans >= MOD)
                ans -= MOD;
        }

        if (((v << 1) | 1) <= n) {
            pass();
            F((v << 1) | 1, sub - (1ll << cntl));
        }
    }
    else {
        if (((v << 1) | 1) <= n) {
            q = 0;
            pass();
            Complete((v << 1) | 1);
            ans += q;
            if (ans >= MOD)
                ans -= MOD;
        }
        if ((v << 1) <= n) {
            pass();
            F((v << 1), sub - (1ll << cntr));
        }
    }
    

    ll s = 0;
    for (int k = 0; s != n; k++) {
        s += d0[ptr][k] + d1[ptr][k];
        ans += p2(n - s) - 1;
        if (ans >= MOD)
            ans -= MOD;
    }
    ptr--;
}

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

    pw2[0] = 1;
    for (int i = 1; i <= X1; i++) {
        pw2[i] = pw2[i - 1] << 1;
        if (pw2[i] >= MOD)
            pw2[i] -= MOD;
    }
    hwt[0] = 1;
    for (int i = 1; i <= X2; i++) {
        hwt[i] = (1ll * hwt[i - 1] * pw2[X1]) % MOD;
    }

    int query = read();
    //cin >> query;
    while (query--) {
        //cin >> n;
        n = read();
        if (n & (n + 1))
            F(1, n);
        else {
            q = 0;
            Complete(1);
            ans = q;
        }
        ll re = p2(n) - 1;

        ans = (ans * pw(re, MOD - 2)) % MOD;
        cout << ans << '\n';

        ans = q = ptr = 0;
    }
    return 0;
}
# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 1108 KB Output is correct
2 Correct 3 ms 1224 KB Output is correct
3 Correct 2 ms 1108 KB Output is correct
4 Correct 2 ms 1108 KB Output is correct
5 Correct 2 ms 1108 KB Output is correct
6 Correct 2 ms 1108 KB Output is correct
7 Correct 2 ms 1108 KB Output is correct
8 Correct 2 ms 1108 KB Output is correct
9 Correct 2 ms 1108 KB Output is correct
10 Correct 2 ms 1108 KB Output is correct
11 Correct 6 ms 1108 KB Output is correct
12 Correct 7 ms 1108 KB Output is correct
13 Correct 16 ms 1108 KB Output is correct
14 Correct 16 ms 1152 KB Output is correct
15 Correct 19 ms 1164 KB Output is correct
16 Correct 20 ms 1168 KB Output is correct
17 Correct 22 ms 1152 KB Output is correct
18 Correct 14 ms 1108 KB Output is correct
19 Correct 16 ms 1108 KB Output is correct
20 Correct 15 ms 1148 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 1236 KB Output is correct
2 Correct 5 ms 1236 KB Output is correct
3 Correct 6 ms 1248 KB Output is correct
4 Correct 5 ms 1236 KB Output is correct
5 Correct 5 ms 1244 KB Output is correct
6 Correct 8 ms 1240 KB Output is correct
7 Correct 5 ms 1236 KB Output is correct
8 Correct 5 ms 1208 KB Output is correct
9 Correct 6 ms 1236 KB Output is correct
10 Correct 6 ms 1248 KB Output is correct
11 Correct 98 ms 1276 KB Output is correct
12 Correct 110 ms 1392 KB Output is correct
13 Correct 93 ms 1268 KB Output is correct
14 Correct 96 ms 1268 KB Output is correct
15 Correct 94 ms 1268 KB Output is correct
16 Correct 95 ms 1272 KB Output is correct
17 Correct 98 ms 1276 KB Output is correct
18 Correct 92 ms 1272 KB Output is correct
19 Correct 94 ms 1236 KB Output is correct
20 Correct 89 ms 1276 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 88 ms 1236 KB Output is correct
2 Correct 102 ms 1236 KB Output is correct
3 Correct 77 ms 1236 KB Output is correct
4 Correct 77 ms 1108 KB Output is correct
5 Correct 85 ms 1220 KB Output is correct
6 Correct 90 ms 1220 KB Output is correct
7 Correct 102 ms 1232 KB Output is correct
8 Correct 89 ms 1236 KB Output is correct
9 Correct 6 ms 1236 KB Output is correct
10 Correct 6 ms 1236 KB Output is correct
11 Correct 13 ms 1188 KB Output is correct
12 Correct 11 ms 1236 KB Output is correct
13 Correct 281 ms 1236 KB Output is correct
14 Correct 331 ms 1236 KB Output is correct
15 Correct 282 ms 1236 KB Output is correct
16 Correct 304 ms 1216 KB Output is correct
17 Correct 296 ms 1216 KB Output is correct
18 Correct 287 ms 1216 KB Output is correct
19 Correct 295 ms 1236 KB Output is correct
20 Correct 285 ms 1228 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 1108 KB Output is correct
2 Correct 3 ms 1224 KB Output is correct
3 Correct 2 ms 1108 KB Output is correct
4 Correct 2 ms 1108 KB Output is correct
5 Correct 2 ms 1108 KB Output is correct
6 Correct 2 ms 1108 KB Output is correct
7 Correct 2 ms 1108 KB Output is correct
8 Correct 2 ms 1108 KB Output is correct
9 Correct 2 ms 1108 KB Output is correct
10 Correct 2 ms 1108 KB Output is correct
11 Correct 6 ms 1108 KB Output is correct
12 Correct 7 ms 1108 KB Output is correct
13 Correct 16 ms 1108 KB Output is correct
14 Correct 16 ms 1152 KB Output is correct
15 Correct 19 ms 1164 KB Output is correct
16 Correct 20 ms 1168 KB Output is correct
17 Correct 22 ms 1152 KB Output is correct
18 Correct 14 ms 1108 KB Output is correct
19 Correct 16 ms 1108 KB Output is correct
20 Correct 15 ms 1148 KB Output is correct
21 Correct 5 ms 1236 KB Output is correct
22 Correct 5 ms 1236 KB Output is correct
23 Correct 6 ms 1248 KB Output is correct
24 Correct 5 ms 1236 KB Output is correct
25 Correct 5 ms 1244 KB Output is correct
26 Correct 8 ms 1240 KB Output is correct
27 Correct 5 ms 1236 KB Output is correct
28 Correct 5 ms 1208 KB Output is correct
29 Correct 6 ms 1236 KB Output is correct
30 Correct 6 ms 1248 KB Output is correct
31 Correct 98 ms 1276 KB Output is correct
32 Correct 110 ms 1392 KB Output is correct
33 Correct 93 ms 1268 KB Output is correct
34 Correct 96 ms 1268 KB Output is correct
35 Correct 94 ms 1268 KB Output is correct
36 Correct 95 ms 1272 KB Output is correct
37 Correct 98 ms 1276 KB Output is correct
38 Correct 92 ms 1272 KB Output is correct
39 Correct 94 ms 1236 KB Output is correct
40 Correct 89 ms 1276 KB Output is correct
41 Correct 88 ms 1236 KB Output is correct
42 Correct 102 ms 1236 KB Output is correct
43 Correct 77 ms 1236 KB Output is correct
44 Correct 77 ms 1108 KB Output is correct
45 Correct 85 ms 1220 KB Output is correct
46 Correct 90 ms 1220 KB Output is correct
47 Correct 102 ms 1232 KB Output is correct
48 Correct 89 ms 1236 KB Output is correct
49 Correct 6 ms 1236 KB Output is correct
50 Correct 6 ms 1236 KB Output is correct
51 Correct 13 ms 1188 KB Output is correct
52 Correct 11 ms 1236 KB Output is correct
53 Correct 281 ms 1236 KB Output is correct
54 Correct 331 ms 1236 KB Output is correct
55 Correct 282 ms 1236 KB Output is correct
56 Correct 304 ms 1216 KB Output is correct
57 Correct 296 ms 1216 KB Output is correct
58 Correct 287 ms 1216 KB Output is correct
59 Correct 295 ms 1236 KB Output is correct
60 Correct 285 ms 1228 KB Output is correct
61 Correct 2 ms 1108 KB Output is correct
62 Correct 10 ms 1108 KB Output is correct
63 Correct 822 ms 1244 KB Output is correct
64 Correct 857 ms 1236 KB Output is correct
65 Correct 797 ms 1244 KB Output is correct
66 Correct 769 ms 1368 KB Output is correct
67 Correct 922 ms 1364 KB Output is correct
68 Correct 897 ms 1256 KB Output is correct
69 Correct 909 ms 1248 KB Output is correct
70 Correct 870 ms 1364 KB Output is correct
71 Correct 46 ms 1260 KB Output is correct
72 Correct 48 ms 1260 KB Output is correct
73 Correct 146 ms 1272 KB Output is correct
74 Correct 104 ms 1276 KB Output is correct
75 Execution timed out 3041 ms 1272 KB Time limit exceeded
76 Halted 0 ms 0 KB -