oj.uz

Submission #1005302

# Submission time Handle Problem Language Result Execution time Memory
1005302 2024-06-22T10:09:02 Z coolboy19521 Horses (IOI15_horses) C++17
57 / 100
 1500 ms 122448 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) {
    if (0 == b) return 1;
    i64 r = bp(x, b / 2) % md;
    r = (r * r) % md;
    if (b % 2) return (r * x) % md;
    return r;
}
 
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:56:65: warning: declaration of 'd' shadows a global declaration [-Wshadow]
   56 | 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:71:57: warning: declaration of 'd' shadows a global declaration [-Wshadow]
   71 | 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:132:63: warning: declaration of 'd' shadows a global declaration [-Wshadow]
  132 | 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:147:55: warning: declaration of 'd' shadows a global declaration [-Wshadow]
  147 | 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:178:18: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
  178 |     return query1(1, n, ix, 1);
      |            ~~~~~~^~~~~~~~~~~~~
horses.cpp: In function 'int updateX(int, int)':
horses.cpp:189:18: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
  189 |     return query1(1, n, ix, 1);
      |            ~~~~~~^~~~~~~~~~~~~
horses.cpp: In function 'int updateY(int, int)':
horses.cpp:200:18: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
  200 |     return query1(1, n, ix, 1);
      |            ~~~~~~^~~~~~~~~~~~~

Subtask #1
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 14680 KB Output is correct
2 Correct 1 ms 14684 KB Output is correct
3 Correct 1 ms 14680 KB Output is correct
4 Correct 1 ms 14684 KB Output is correct
5 Correct 1 ms 14796 KB Output is correct
6 Correct 1 ms 14684 KB Output is correct
7 Correct 2 ms 14684 KB Output is correct
8 Correct 1 ms 14680 KB Output is correct
9 Correct 1 ms 14732 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 2 ms 14684 KB Output is correct
15 Correct 2 ms 14684 KB Output is correct
16 Correct 1 ms 14684 KB Output is correct
17 Correct 1 ms 14680 KB Output is correct
18 Correct 2 ms 14684 KB Output is correct
19 Correct 1 ms 14772 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 2 ms 14680 KB Output is correct
2 Correct 1 ms 14680 KB Output is correct
3 Correct 1 ms 14684 KB Output is correct
4 Correct 2 ms 14680 KB Output is correct
5 Correct 1 ms 14684 KB Output is correct
6 Correct 1 ms 14680 KB Output is correct
7 Correct 1 ms 14684 KB Output is correct
8 Correct 2 ms 14684 KB Output is correct
9 Correct 2 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 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 1 ms 14684 KB Output is correct
22 Correct 1 ms 14684 KB Output is correct
23 Correct 6 ms 14684 KB Output is correct
24 Correct 6 ms 14904 KB Output is correct
25 Correct 3 ms 14680 KB Output is correct
26 Correct 5 ms 14864 KB Output is correct
27 Correct 5 ms 14684 KB Output is correct
28 Correct 5 ms 14684 KB Output is correct
29 Correct 7 ms 14680 KB Output is correct
30 Correct 8 ms 14684 KB Output is correct
31 Correct 3 ms 14684 KB Output is correct
32 Correct 3 ms 14684 KB Output is correct

Subtask #3
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 150 ms 89424 KB Output is correct
2 Correct 1324 ms 122448 KB Output is correct
3 Correct 1225 ms 122448 KB Output is correct
4 Execution timed out 1570 ms 122196 KB Time limit exceeded
5 Halted 0 ms 0 KB -

Subtask #4
23.0 / 23.0

# 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 2 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 14680 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 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 2 ms 14684 KB Output is correct
21 Correct 1 ms 14684 KB Output is correct
22 Correct 2 ms 14680 KB Output is correct
23 Correct 6 ms 14680 KB Output is correct
24 Correct 6 ms 14684 KB Output is correct
25 Correct 3 ms 14684 KB Output is correct
26 Correct 5 ms 14868 KB Output is correct
27 Correct 4 ms 14680 KB Output is correct
28 Correct 5 ms 14908 KB Output is correct
29 Correct 7 ms 14684 KB Output is correct
30 Correct 8 ms 14908 KB Output is correct
31 Correct 2 ms 14684 KB Output is correct
32 Correct 4 ms 14684 KB Output is correct
33 Correct 164 ms 121172 KB Output is correct
34 Correct 166 ms 121116 KB Output is correct
35 Correct 86 ms 88660 KB Output is correct
36 Correct 129 ms 88660 KB Output is correct
37 Correct 126 ms 105044 KB Output is correct
38 Correct 119 ms 89428 KB Output is correct
39 Correct 156 ms 89036 KB Output is correct
40 Correct 165 ms 89312 KB Output is correct
41 Correct 61 ms 90712 KB Output is correct
42 Correct 69 ms 88656 KB Output is correct
43 Correct 62 ms 88504 KB Output is correct
44 Correct 65 ms 88524 KB Output is correct

Subtask #5
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 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 2 ms 14680 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 14680 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 2 ms 14680 KB Output is correct
18 Correct 2 ms 14680 KB Output is correct
19 Correct 1 ms 14680 KB Output is correct
20 Correct 1 ms 14684 KB Output is correct
21 Correct 2 ms 14684 KB Output is correct
22 Correct 2 ms 14684 KB Output is correct
23 Correct 6 ms 14684 KB Output is correct
24 Correct 6 ms 14684 KB Output is correct
25 Correct 3 ms 14864 KB Output is correct
26 Correct 4 ms 14684 KB Output is correct
27 Correct 5 ms 14684 KB Output is correct
28 Correct 6 ms 14680 KB Output is correct
29 Correct 7 ms 14684 KB Output is correct
30 Correct 8 ms 14684 KB Output is correct
31 Correct 3 ms 14684 KB Output is correct
32 Correct 3 ms 14684 KB Output is correct
33 Correct 152 ms 89548 KB Output is correct
34 Correct 1331 ms 122384 KB Output is correct
35 Correct 1395 ms 122348 KB Output is correct
36 Execution timed out 1583 ms 122324 KB Time limit exceeded
37 Halted 0 ms 0 KB -