oj.uz

Submission #1005316

# Submission time Handle Problem Language Result Execution time Memory
1005316 2024-06-22T10:17:44 Z coolboy19521 Horses (IOI15_horses) C++17
100 / 100
 1229 ms 126764 KB 
#pragma GCC optimize("Ofast")
#include "bits/stdc++.h"
#include "horses.h"
#define ld long double
#define i64 long long

using namespace std;

const i64 sz = 5e5 + 25;
const i64 md = 1e9 + 7;

i64 lz1m[sz * 4], lz1d[sz * 4];
i64 st1[sz * 4];
ld lz2m[sz * 4], lz2d[sz * 4];
pair<ld, i64> st2[sz * 4];
ld d[sz];
i64 a[sz], b[sz], c[sz];
i64 n;

i64 bp(i64 x, i64 b) {
    i64 res = 1;
    while (b) {
        if (b & 1) res = (res * x) % md;
        x = (x * x) % md;
        b >>= 1;
    }
    return res;
}

void build1(i64 le, i64 ri, i64 v) {
    lz1m[v] = 1;
    lz1d[v] = 1;
    if (le == ri) {
        st1[v] = c[le] * b[le] % md;
        return;
    }
    i64 mi = (le + ri) / 2;
    build1(le, mi, v * 2);
    build1(mi + 1, ri, v * 2 + 1);
    st1[v] = (st1[v * 2] + st1[v * 2 + 1]) % md;
}

void relax1(i64 v, i64 le, i64 ri) {
    if (lz1m[v] != 1 || lz1d[v] != 1) {
        st1[v] = (st1[v] * lz1m[v]) % md;
        st1[v] = (st1[v] * bp(lz1d[v], md - 2)) % md;
        if (le != ri) {
            lz1m[v * 2] = (lz1m[v * 2] * lz1m[v]) % md;
            lz1m[v * 2 + 1] = (lz1m[v * 2 + 1] * lz1m[v]) % md;
            lz1d[v * 2] = (lz1d[v * 2] * lz1d[v]) % md;
            lz1d[v * 2 + 1] = (lz1d[v * 2 + 1] * lz1d[v]) % md;
        }
        lz1m[v] = 1;
        lz1d[v] = 1;
    }
}

void rupdate1(i64 le, i64 ri, i64 ql, i64 qr, i64 v, i64 m, i64 d) {
    relax1(v, le, ri);
    if (le > qr || ri < ql) return;
    if (ql <= le && ri <= qr) {
        lz1m[v] = (lz1m[v] * m) % md;
        lz1d[v] = (lz1d[v] * d) % md;
        relax1(v, le, ri);
        return;
    }
    i64 mi = (le + ri) / 2;
    rupdate1(le, mi, ql, qr, v * 2, m, d);
    rupdate1(mi + 1, ri, ql, qr, v * 2 + 1, m, d);
    st1[v] = (st1[v * 2] + st1[v * 2 + 1]) % md;
}

void pupdate1(i64 le, i64 ri, i64 ix, i64 v, i64 m, i64 d) {
    relax1(v, le, ri);
    if (le > ix || ri < ix) return;
    if (le == ix && ix == ri) {
        st1[v] = (st1[v] * m) % md;
        st1[v] = (st1[v] * bp(d, md - 2)) % md;
        return;
    }
    i64 mi = (le + ri) / 2;
    pupdate1(le, mi, ix, v * 2, m, d);
    pupdate1(mi + 1, ri, ix, v * 2 + 1, m, d);
    st1[v] = (st1[v * 2] + st1[v * 2 + 1]) % md;
}

i64 query1(i64 le, i64 ri, i64 ix, i64 v) {
    relax1(v, le, ri);
    if (le > ix || ri < ix) return 0;
    if (le == ix && ix == ri) {
        return st1[v] % md;
    }
    i64 mi = (le + ri) / 2;
    i64 lq = query1(le, mi, ix, v * 2);
    i64 rq = query1(mi + 1, ri, ix, v * 2 + 1);
    return (lq + rq) % md;
}

pair<ld, i64> marj(i64 v) {
    auto& le = st2[v * 2];
    auto& ri = st2[v * 2 + 1];
    if (le.first >= ri.first) {
        return le;
    }
    return ri;
}

void build2(i64 le, i64 ri, i64 v) {
    if (le == ri) {
        st2[v] = make_pair(d[le] + log10l(b[le]), le);
        return;
    }
    i64 mi = (le + ri) / 2;
    build2(le, mi, v * 2);
    build2(mi + 1, ri, v * 2 + 1);
    st2[v] = marj(v);
}

void relax2(i64 v, i64 le, i64 ri) {
    if (lz2m[v] != 0 || lz2d[v] != 0) {
        st2[v].first += lz2m[v];
        st2[v].first -= lz2d[v];
        if (le != ri) {
            lz2m[v * 2] += lz2m[v];
            lz2m[v * 2 + 1] += lz2m[v];
            lz2d[v * 2] += lz2d[v];
            lz2d[v * 2 + 1] += lz2d[v];
        }
        lz2m[v] = 0;
        lz2d[v] = 0;
    }
}

void rupdate2(i64 le, i64 ri, i64 ql, i64 qr, i64 v, ld m, ld d) {
    relax2(v, le, ri);
    if (le > qr || ri < ql) return;
    if (ql <= le && ri <= qr) {
        lz2m[v] += m;
        lz2d[v] += d;
        relax2(v, le, ri);
        return;
    }
    i64 mi = (le + ri) / 2;
    rupdate2(le, mi, ql, qr, v * 2, m, d);
    rupdate2(mi + 1, ri, ql, qr, v * 2 + 1, m, d);
    st2[v] = marj(v);
}

void pupdate2(i64 le, i64 ri, i64 ix, i64 v, ld m, ld d) {
    relax2(v, le, ri);
    if (le > ix || ri < ix) return;
    if (le == ix && ri == ix) {
        st2[v].first += m;
        st2[v].first -= d;
        return;
    }
    i64 mi = (le + ri) / 2;
    pupdate2(le, mi, ix, v * 2, m, d);
    pupdate2(mi + 1, ri, ix, v * 2 + 1, m, d);
    st2[v] = marj(v);
}

int init(int N, int x[], int y[]) {
    n = N;
    c[0] = 1;
    d[0] = 0;

    for (i64 i = 1; i <= n; i++) {
        a[i] = x[i - 1];
        b[i] = y[i - 1];
        c[i] = c[i - 1] * a[i] % md;
        d[i] = d[i - 1] + log10l(a[i]);
    }

    build1(1, n, 1);
    build2(1, n, 1);

    i64 ix = st2[1].second;

    return query1(1, n, ix, 1);
}

int updateX(int pos, int val) {
    pos++;
    rupdate1(1, n, pos, n, 1, val, a[pos]);
    rupdate2(1, n, pos, n, 1, log10l(val), log10l(a[pos]));
    a[pos] = val;
    relax2(1, 1, n);
    i64 ix = st2[1].second;

    return query1(1, n, ix, 1);
}

int updateY(int pos, int val) {
    pos++;
    pupdate1(1, n, pos, 1, val, b[pos]);
    pupdate2(1, n, pos, 1, log10l(val), log10l(b[pos]));
    b[pos] = val;
    relax2(1, 1, n);
    i64 ix = st2[1].second;

    return query1(1, n, ix, 1);
}

Compilation message

horses.cpp: In function 'long long int bp(long long int, long long int)':
horses.cpp:20:19: warning: declaration of 'b' shadows a global declaration [-Wshadow]
   20 | i64 bp(i64 x, i64 b) {
      |                   ^
horses.cpp:17:12: note: shadowed declaration is here
   17 | i64 a[sz], b[sz], c[sz];
      |            ^
horses.cpp: In function 'void rupdate1(long long int, long long int, long long int, long long int, long long int, long long int, long long int)':
horses.cpp:58:65: warning: declaration of 'd' shadows a global declaration [-Wshadow]
   58 | void rupdate1(i64 le, i64 ri, i64 ql, i64 qr, i64 v, i64 m, i64 d) {
      |                                                                 ^
horses.cpp:16:4: note: shadowed declaration is here
   16 | ld d[sz];
      |    ^
horses.cpp: In function 'void pupdate1(long long int, long long int, long long int, long long int, long long int, long long int)':
horses.cpp:73:57: warning: declaration of 'd' shadows a global declaration [-Wshadow]
   73 | void pupdate1(i64 le, i64 ri, i64 ix, i64 v, i64 m, i64 d) {
      |                                                         ^
horses.cpp:16:4: note: shadowed declaration is here
   16 | ld d[sz];
      |    ^
horses.cpp: In function 'void rupdate2(long long int, long long int, long long int, long long int, long long int, long double, long double)':
horses.cpp:134:63: warning: declaration of 'd' shadows a global declaration [-Wshadow]
  134 | void rupdate2(i64 le, i64 ri, i64 ql, i64 qr, i64 v, ld m, ld d) {
      |                                                               ^
horses.cpp:16:4: note: shadowed declaration is here
   16 | ld d[sz];
      |    ^
horses.cpp: In function 'void pupdate2(long long int, long long int, long long int, long long int, long double, long double)':
horses.cpp:149:55: warning: declaration of 'd' shadows a global declaration [-Wshadow]
  149 | void pupdate2(i64 le, i64 ri, i64 ix, i64 v, ld m, ld d) {
      |                                                       ^
horses.cpp:16:4: note: shadowed declaration is here
   16 | ld d[sz];
      |    ^
horses.cpp: In function 'int init(int, int*, int*)':
horses.cpp:180:18: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
  180 |     return query1(1, n, ix, 1);
      |            ~~~~~~^~~~~~~~~~~~~
horses.cpp: In function 'int updateX(int, int)':
horses.cpp:191:18: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
  191 |     return query1(1, n, ix, 1);
      |            ~~~~~~^~~~~~~~~~~~~
horses.cpp: In function 'int updateY(int, int)':
horses.cpp:202:18: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
  202 |     return query1(1, n, ix, 1);
      |            ~~~~~~^~~~~~~~~~~~~

Subtask #1
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 14684 KB Output is correct
2 Correct 1 ms 14684 KB Output is correct
3 Correct 1 ms 14684 KB Output is correct
4 Correct 1 ms 14684 KB Output is correct
5 Correct 1 ms 14684 KB Output is correct
6 Correct 1 ms 14684 KB Output is correct
7 Correct 1 ms 14684 KB Output is correct
8 Correct 1 ms 14684 KB Output is correct
9 Correct 1 ms 14684 KB Output is correct
10 Correct 1 ms 14684 KB Output is correct
11 Correct 1 ms 14684 KB Output is correct
12 Correct 1 ms 14684 KB Output is correct
13 Correct 1 ms 14684 KB Output is correct
14 Correct 1 ms 14680 KB Output is correct
15 Correct 2 ms 14680 KB Output is correct
16 Correct 2 ms 14684 KB Output is correct
17 Correct 1 ms 14684 KB Output is correct
18 Correct 1 ms 14684 KB Output is correct
19 Correct 1 ms 14680 KB Output is correct
20 Correct 1 ms 14684 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 14684 KB Output is correct
2 Correct 1 ms 14684 KB Output is correct
3 Correct 1 ms 14684 KB Output is correct
4 Correct 1 ms 14684 KB Output is correct
5 Correct 1 ms 14684 KB Output is correct
6 Correct 1 ms 14684 KB Output is correct
7 Correct 1 ms 14684 KB Output is correct
8 Correct 1 ms 14684 KB Output is correct
9 Correct 1 ms 14684 KB Output is correct
10 Correct 1 ms 14784 KB Output is correct
11 Correct 1 ms 14684 KB Output is correct
12 Correct 1 ms 14684 KB Output is correct
13 Correct 1 ms 14684 KB Output is correct
14 Correct 1 ms 14776 KB Output is correct
15 Correct 1 ms 14684 KB Output is correct
16 Correct 1 ms 14684 KB Output is correct
17 Correct 2 ms 14680 KB Output is correct
18 Correct 1 ms 14680 KB Output is correct
19 Correct 1 ms 14684 KB Output is correct
20 Correct 1 ms 14684 KB Output is correct
21 Correct 1 ms 14684 KB Output is correct
22 Correct 1 ms 14684 KB Output is correct
23 Correct 5 ms 14684 KB Output is correct
24 Correct 5 ms 14684 KB Output is correct
25 Correct 2 ms 14684 KB Output is correct
26 Correct 4 ms 14684 KB Output is correct
27 Correct 3 ms 14684 KB Output is correct
28 Correct 4 ms 14684 KB Output is correct
29 Correct 5 ms 14684 KB Output is correct
30 Correct 6 ms 14684 KB Output is correct
31 Correct 2 ms 14684 KB Output is correct
32 Correct 3 ms 14684 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 153 ms 89684 KB Output is correct
2 Correct 1004 ms 122452 KB Output is correct
3 Correct 937 ms 122448 KB Output is correct
4 Correct 1229 ms 122452 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 14684 KB Output is correct
2 Correct 1 ms 14684 KB Output is correct
3 Correct 2 ms 14684 KB Output is correct
4 Correct 1 ms 14684 KB Output is correct
5 Correct 2 ms 14684 KB Output is correct
6 Correct 1 ms 14684 KB Output is correct
7 Correct 1 ms 14684 KB Output is correct
8 Correct 1 ms 14684 KB Output is correct
9 Correct 1 ms 14684 KB Output is correct
10 Correct 1 ms 14684 KB Output is correct
11 Correct 1 ms 14680 KB Output is correct
12 Correct 2 ms 14684 KB Output is correct
13 Correct 1 ms 14684 KB Output is correct
14 Correct 1 ms 14684 KB Output is correct
15 Correct 1 ms 14684 KB Output is correct
16 Correct 1 ms 14684 KB Output is correct
17 Correct 1 ms 14684 KB Output is correct
18 Correct 1 ms 14684 KB Output is correct
19 Correct 1 ms 14684 KB Output is correct
20 Correct 1 ms 14684 KB Output is correct
21 Correct 2 ms 14784 KB Output is correct
22 Correct 1 ms 14684 KB Output is correct
23 Correct 5 ms 14684 KB Output is correct
24 Correct 5 ms 14684 KB Output is correct
25 Correct 3 ms 14684 KB Output is correct
26 Correct 4 ms 14936 KB Output is correct
27 Correct 5 ms 14684 KB Output is correct
28 Correct 4 ms 14684 KB Output is correct
29 Correct 5 ms 14684 KB Output is correct
30 Correct 6 ms 14684 KB Output is correct
31 Correct 2 ms 14684 KB Output is correct
32 Correct 3 ms 14684 KB Output is correct
33 Correct 157 ms 121300 KB Output is correct
34 Correct 157 ms 121276 KB Output is correct
35 Correct 87 ms 88660 KB Output is correct
36 Correct 112 ms 88912 KB Output is correct
37 Correct 106 ms 105040 KB Output is correct
38 Correct 103 ms 89508 KB Output is correct
39 Correct 118 ms 88868 KB Output is correct
40 Correct 145 ms 89328 KB Output is correct
41 Correct 64 ms 90708 KB Output is correct
42 Correct 67 ms 88656 KB Output is correct
43 Correct 57 ms 88656 KB Output is correct
44 Correct 60 ms 88600 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 14680 KB Output is correct
2 Correct 1 ms 14684 KB Output is correct
3 Correct 1 ms 14684 KB Output is correct
4 Correct 2 ms 14684 KB Output is correct
5 Correct 1 ms 14684 KB Output is correct
6 Correct 1 ms 14684 KB Output is correct
7 Correct 1 ms 14684 KB Output is correct
8 Correct 1 ms 14684 KB Output is correct
9 Correct 1 ms 14684 KB Output is correct
10 Correct 1 ms 14684 KB Output is correct
11 Correct 1 ms 14684 KB Output is correct
12 Correct 1 ms 14684 KB Output is correct
13 Correct 1 ms 14684 KB Output is correct
14 Correct 1 ms 14684 KB Output is correct
15 Correct 1 ms 14684 KB Output is correct
16 Correct 2 ms 14684 KB Output is correct
17 Correct 1 ms 14684 KB Output is correct
18 Correct 1 ms 14684 KB Output is correct
19 Correct 1 ms 14792 KB Output is correct
20 Correct 1 ms 14684 KB Output is correct
21 Correct 1 ms 14684 KB Output is correct
22 Correct 1 ms 14684 KB Output is correct
23 Correct 4 ms 14684 KB Output is correct
24 Correct 4 ms 14904 KB Output is correct
25 Correct 3 ms 14680 KB Output is correct
26 Correct 4 ms 14680 KB Output is correct
27 Correct 3 ms 14684 KB Output is correct
28 Correct 4 ms 14684 KB Output is correct
29 Correct 5 ms 14888 KB Output is correct
30 Correct 6 ms 14908 KB Output is correct
31 Correct 2 ms 14684 KB Output is correct
32 Correct 3 ms 14684 KB Output is correct
33 Correct 151 ms 89552 KB Output is correct
34 Correct 919 ms 122452 KB Output is correct
35 Correct 920 ms 122472 KB Output is correct
36 Correct 1187 ms 122284 KB Output is correct
37 Correct 155 ms 124500 KB Output is correct
38 Correct 147 ms 124752 KB Output is correct
39 Correct 92 ms 97108 KB Output is correct
40 Correct 113 ms 97104 KB Output is correct
41 Correct 109 ms 106960 KB Output is correct
42 Correct 101 ms 92072 KB Output is correct
43 Correct 124 ms 91220 KB Output is correct
44 Correct 141 ms 94292 KB Output is correct
45 Correct 59 ms 92500 KB Output is correct
46 Correct 67 ms 90708 KB Output is correct
47 Correct 61 ms 93780 KB Output is correct
48 Correct 61 ms 93784 KB Output is correct
49 Correct 767 ms 126764 KB Output is correct
50 Correct 792 ms 126400 KB Output is correct
51 Correct 222 ms 98848 KB Output is correct
52 Correct 432 ms 98700 KB Output is correct
53 Correct 580 ms 109140 KB Output is correct
54 Correct 569 ms 99368 KB Output is correct
55 Correct 688 ms 91704 KB Output is correct
56 Correct 816 ms 101716 KB Output is correct
57 Correct 142 ms 93800 KB Output is correct
58 Correct 214 ms 92496 KB Output is correct
59 Correct 62 ms 93616 KB Output is correct