oj.uz

Submission #1005262

# Submission time Handle Problem Language Result Execution time Memory
1005262 2024-06-22T09:25:26 Z coolboy19521 Horses (IOI15_horses) C++17
57 / 100
 1500 ms 136596 KB 
#include "bits/stdc++.h"
#include "horses.h"
#define ld long double
#define i64 long long

using namespace std;

const i64 sz = 1e6 + 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;
    if (b % 2) return (r * r % md) * x % md;
    return r * r % md;
}

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 - le) / 2;
    build1(le, mi, v * 2);
    build1(mi + 1, ri, v * 2 + 1);
    st1[v] = (st1[v * 2] + st1[v * 2 + 1]) % md; // Combine segments
}

void relax1(i64 v, i64 le, i64 ri) {
    if (lz1m[v] != 1 || lz1d[v] != 1) {
        (st1[v] *= lz1m[v]) %= md;
        (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 - le) / 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] *= m) %= md;
        (st1[v] *= bp(d, md - 2)) %= md;
        return;
    }
    i64 mi = le + (ri - le) / 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 - le) / 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 - le) / 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 - le) / 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 - le) / 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:19:19: warning: declaration of 'b' shadows a global declaration [-Wshadow]
   19 | i64 bp(i64 x, i64 b) {
      |                   ^
horses.cpp:16:12: note: shadowed declaration is here
   16 | 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:54:65: warning: declaration of 'd' shadows a global declaration [-Wshadow]
   54 | void rupdate1(i64 le, i64 ri, i64 ql, i64 qr, i64 v, i64 m, i64 d) {
      |                                                                 ^
horses.cpp:15:4: note: shadowed declaration is here
   15 | 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:69:57: warning: declaration of 'd' shadows a global declaration [-Wshadow]
   69 | void pupdate1(i64 le, i64 ri, i64 ix, i64 v, i64 m, i64 d) {
      |                                                         ^
horses.cpp:15:4: note: shadowed declaration is here
   15 | 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:130:63: warning: declaration of 'd' shadows a global declaration [-Wshadow]
  130 | void rupdate2(i64 le, i64 ri, i64 ql, i64 qr, i64 v, ld m, ld d) {
      |                                                               ^
horses.cpp:15:4: note: shadowed declaration is here
   15 | 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:145:55: warning: declaration of 'd' shadows a global declaration [-Wshadow]
  145 | void pupdate2(i64 le, i64 ri, i64 ix, i64 v, ld m, ld d) {
      |                                                       ^
horses.cpp:15:4: note: shadowed declaration is here
   15 | ld d[sz];
      |    ^
horses.cpp: In function 'int init(int, int*, int*)':
horses.cpp:176:18: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
  176 |     return query1(1, n, ix, 1);
      |            ~~~~~~^~~~~~~~~~~~~
horses.cpp: In function 'int updateX(int, int)':
horses.cpp:187:18: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
  187 |     return query1(1, n, ix, 1);
      |            ~~~~~~^~~~~~~~~~~~~
horses.cpp: In function 'int updateY(int, int)':
horses.cpp:198:18: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
  198 |     return query1(1, n, ix, 1);
      |            ~~~~~~^~~~~~~~~~~~~

Subtask #1
17.0 / 17.0

# 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 2 ms 14680 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 14684 KB Output is correct
9 Correct 1 ms 14684 KB Output is correct
10 Correct 2 ms 14936 KB Output is correct
11 Correct 2 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 2 ms 14684 KB Output is correct
19 Correct 1 ms 14684 KB Output is correct
20 Correct 2 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 14680 KB Output is correct
7 Correct 1 ms 14680 KB Output is correct
8 Correct 2 ms 14684 KB Output is correct
9 Correct 1 ms 14684 KB Output is correct
10 Correct 2 ms 14680 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 16732 KB Output is correct
24 Correct 6 ms 16732 KB Output is correct
25 Correct 3 ms 16924 KB Output is correct
26 Correct 5 ms 16732 KB Output is correct
27 Correct 5 ms 16728 KB Output is correct
28 Correct 6 ms 16728 KB Output is correct
29 Correct 8 ms 16940 KB Output is correct
30 Correct 8 ms 16956 KB Output is correct
31 Correct 3 ms 16732 KB Output is correct
32 Correct 4 ms 16732 KB Output is correct

Subtask #3
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 196 ms 97764 KB Output is correct
2 Correct 1451 ms 130644 KB Output is correct
3 Correct 1497 ms 133636 KB Output is correct
4 Execution timed out 1559 ms 136568 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 1 ms 14684 KB Output is correct
4 Correct 1 ms 14792 KB Output is correct
5 Correct 2 ms 14684 KB Output is correct
6 Correct 1 ms 14936 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 2 ms 14684 KB Output is correct
16 Correct 2 ms 14684 KB Output is correct
17 Correct 2 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 14684 KB Output is correct
23 Correct 6 ms 16872 KB Output is correct
24 Correct 6 ms 16732 KB Output is correct
25 Correct 3 ms 16732 KB Output is correct
26 Correct 5 ms 16732 KB Output is correct
27 Correct 5 ms 16732 KB Output is correct
28 Correct 6 ms 16960 KB Output is correct
29 Correct 7 ms 16732 KB Output is correct
30 Correct 8 ms 16968 KB Output is correct
31 Correct 3 ms 16732 KB Output is correct
32 Correct 4 ms 16732 KB Output is correct
33 Correct 213 ms 129480 KB Output is correct
34 Correct 210 ms 129364 KB Output is correct
35 Correct 113 ms 96852 KB Output is correct
36 Correct 150 ms 97016 KB Output is correct
37 Correct 148 ms 113192 KB Output is correct
38 Correct 149 ms 97760 KB Output is correct
39 Correct 185 ms 97064 KB Output is correct
40 Correct 200 ms 97616 KB Output is correct
41 Correct 86 ms 99088 KB Output is correct
42 Correct 100 ms 96852 KB Output is correct
43 Correct 82 ms 97104 KB Output is correct
44 Correct 81 ms 96848 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 2 ms 14684 KB Output is correct
3 Correct 1 ms 14804 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 1 ms 14684 KB Output is correct
17 Correct 2 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 14680 KB Output is correct
21 Correct 2 ms 14684 KB Output is correct
22 Correct 1 ms 14684 KB Output is correct
23 Correct 7 ms 16732 KB Output is correct
24 Correct 6 ms 16732 KB Output is correct
25 Correct 3 ms 16728 KB Output is correct
26 Correct 5 ms 16732 KB Output is correct
27 Correct 5 ms 16952 KB Output is correct
28 Correct 6 ms 16936 KB Output is correct
29 Correct 7 ms 16952 KB Output is correct
30 Correct 10 ms 16984 KB Output is correct
31 Correct 3 ms 16884 KB Output is correct
32 Correct 4 ms 16732 KB Output is correct
33 Correct 195 ms 97856 KB Output is correct
34 Correct 1355 ms 130528 KB Output is correct
35 Correct 1344 ms 133720 KB Output is correct
36 Execution timed out 1546 ms 136596 KB Time limit exceeded
37 Halted 0 ms 0 KB -