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Submission #633843

# Submission time Handle Problem Language Result Execution time Memory
633843 2022-08-23T09:53:06 Z 406 Party (INOI20_party) C++17
100 / 100
 2941 ms 1488 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);
    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) {
    if ((sub & (sub + 1)) == 0) {
        q = 0;
        Complete(v);
        ans += q;
        if (ans >= MOD)
            ans -= MOD;
        return;
    }
    

    //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);

    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();
        F(1, n);
        ll re = p2(n) - 1;

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

        ans = q = ptr = 0;
    }
    return 0;
}
//assert
//yaddasht
//nim saat dar ye vaziat
//checkpoint
//f ha ro benvisim

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 1108 KB Output is correct
2 Correct 2 ms 1108 KB Output is correct
3 Correct 3 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 1040 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 5 ms 1108 KB Output is correct
12 Correct 5 ms 1108 KB Output is correct
13 Correct 15 ms 1148 KB Output is correct
14 Correct 15 ms 1136 KB Output is correct
15 Correct 14 ms 1168 KB Output is correct
16 Correct 15 ms 1160 KB Output is correct
17 Correct 8 ms 1108 KB Output is correct
18 Correct 7 ms 1108 KB Output is correct
19 Correct 8 ms 1108 KB Output is correct
20 Correct 8 ms 1108 KB Output is correct

Subtask #2
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 1236 KB Output is correct
2 Correct 6 ms 1236 KB Output is correct
3 Correct 5 ms 1236 KB Output is correct
4 Correct 5 ms 1236 KB Output is correct
5 Correct 5 ms 1236 KB Output is correct
6 Correct 5 ms 1236 KB Output is correct
7 Correct 5 ms 1236 KB Output is correct
8 Correct 5 ms 1240 KB Output is correct
9 Correct 6 ms 1244 KB Output is correct
10 Correct 5 ms 1236 KB Output is correct
11 Correct 90 ms 1280 KB Output is correct
12 Correct 94 ms 1272 KB Output is correct
13 Correct 109 ms 1388 KB Output is correct
14 Correct 93 ms 1272 KB Output is correct
15 Correct 91 ms 1272 KB Output is correct
16 Correct 90 ms 1272 KB Output is correct
17 Correct 91 ms 1276 KB Output is correct
18 Correct 115 ms 1272 KB Output is correct
19 Correct 90 ms 1276 KB Output is correct
20 Correct 90 ms 1272 KB Output is correct

Subtask #3
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 80 ms 1232 KB Output is correct
2 Correct 88 ms 1236 KB Output is correct
3 Correct 79 ms 1236 KB Output is correct
4 Correct 75 ms 1216 KB Output is correct
5 Correct 87 ms 1236 KB Output is correct
6 Correct 90 ms 1236 KB Output is correct
7 Correct 83 ms 1108 KB Output is correct
8 Correct 84 ms 1240 KB Output is correct
9 Correct 5 ms 1236 KB Output is correct
10 Correct 6 ms 1236 KB Output is correct
11 Correct 11 ms 1240 KB Output is correct
12 Correct 10 ms 1236 KB Output is correct
13 Correct 307 ms 1216 KB Output is correct
14 Correct 287 ms 1216 KB Output is correct
15 Correct 288 ms 1236 KB Output is correct
16 Correct 313 ms 1236 KB Output is correct
17 Correct 20 ms 1236 KB Output is correct
18 Correct 19 ms 1236 KB Output is correct
19 Correct 21 ms 1236 KB Output is correct
20 Correct 20 ms 1240 KB Output is correct

Subtask #4
37.0 / 37.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 1108 KB Output is correct
2 Correct 2 ms 1108 KB Output is correct
3 Correct 3 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 1040 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 5 ms 1108 KB Output is correct
12 Correct 5 ms 1108 KB Output is correct
13 Correct 15 ms 1148 KB Output is correct
14 Correct 15 ms 1136 KB Output is correct
15 Correct 14 ms 1168 KB Output is correct
16 Correct 15 ms 1160 KB Output is correct
17 Correct 8 ms 1108 KB Output is correct
18 Correct 7 ms 1108 KB Output is correct
19 Correct 8 ms 1108 KB Output is correct
20 Correct 8 ms 1108 KB Output is correct
21 Correct 7 ms 1236 KB Output is correct
22 Correct 6 ms 1236 KB Output is correct
23 Correct 5 ms 1236 KB Output is correct
24 Correct 5 ms 1236 KB Output is correct
25 Correct 5 ms 1236 KB Output is correct
26 Correct 5 ms 1236 KB Output is correct
27 Correct 5 ms 1236 KB Output is correct
28 Correct 5 ms 1240 KB Output is correct
29 Correct 6 ms 1244 KB Output is correct
30 Correct 5 ms 1236 KB Output is correct
31 Correct 90 ms 1280 KB Output is correct
32 Correct 94 ms 1272 KB Output is correct
33 Correct 109 ms 1388 KB Output is correct
34 Correct 93 ms 1272 KB Output is correct
35 Correct 91 ms 1272 KB Output is correct
36 Correct 90 ms 1272 KB Output is correct
37 Correct 91 ms 1276 KB Output is correct
38 Correct 115 ms 1272 KB Output is correct
39 Correct 90 ms 1276 KB Output is correct
40 Correct 90 ms 1272 KB Output is correct
41 Correct 80 ms 1232 KB Output is correct
42 Correct 88 ms 1236 KB Output is correct
43 Correct 79 ms 1236 KB Output is correct
44 Correct 75 ms 1216 KB Output is correct
45 Correct 87 ms 1236 KB Output is correct
46 Correct 90 ms 1236 KB Output is correct
47 Correct 83 ms 1108 KB Output is correct
48 Correct 84 ms 1240 KB Output is correct
49 Correct 5 ms 1236 KB Output is correct
50 Correct 6 ms 1236 KB Output is correct
51 Correct 11 ms 1240 KB Output is correct
52 Correct 10 ms 1236 KB Output is correct
53 Correct 307 ms 1216 KB Output is correct
54 Correct 287 ms 1216 KB Output is correct
55 Correct 288 ms 1236 KB Output is correct
56 Correct 313 ms 1236 KB Output is correct
57 Correct 20 ms 1236 KB Output is correct
58 Correct 19 ms 1236 KB Output is correct
59 Correct 21 ms 1236 KB Output is correct
60 Correct 20 ms 1240 KB Output is correct
61 Correct 2 ms 1108 KB Output is correct
62 Correct 9 ms 1108 KB Output is correct
63 Correct 823 ms 1244 KB Output is correct
64 Correct 817 ms 1488 KB Output is correct
65 Correct 776 ms 1248 KB Output is correct
66 Correct 767 ms 1248 KB Output is correct
67 Correct 820 ms 1248 KB Output is correct
68 Correct 845 ms 1372 KB Output is correct
69 Correct 802 ms 1484 KB Output is correct
70 Correct 843 ms 1368 KB Output is correct
71 Correct 35 ms 1236 KB Output is correct
72 Correct 35 ms 1236 KB Output is correct
73 Correct 96 ms 1276 KB Output is correct
74 Correct 95 ms 1272 KB Output is correct
75 Correct 2856 ms 1276 KB Output is correct
76 Correct 2864 ms 1268 KB Output is correct
77 Correct 2838 ms 1272 KB Output is correct
78 Correct 2941 ms 1272 KB Output is correct
79 Correct 187 ms 1272 KB Output is correct
80 Correct 180 ms 1268 KB Output is correct
81 Correct 190 ms 1356 KB Output is correct
82 Correct 173 ms 1280 KB Output is correct