oj.uz

Submission #1039908

# Submission time Handle Problem Language Result Execution time Memory
1039908 2024-07-31T12:00:34 Z Zicrus Horses (IOI15_horses) C++17
37 / 100
 96 ms 44268 KB 
#include <bits/stdc++.h>
#include "horses.h"
using namespace std;

typedef long long ll;


ll n, pow2;
vector<ll> segMul, segMax;
vector<bool> segOF;
vector<ll> x, y;
vector<ll> lnk;
vector<ll> effY;

#define MOD (1000000007)

int getPrev2Id(int i) {
    // TODO (inc)
    // If no 2, return id 0
    // i can be negative!!!
    if (i < 0) return 0;
    i += pow2;
    while (segMul[i] == 1 && !segOF[i]) {
        if (!(i & 1)) {
            if ((i & (i-1)) == 0) return 0;
            i--;
        }
        i /= 2;
    }
    // now search down
    while (i < pow2) {
        if (segMul[2*i+1] == 1 && !segOF[2*i+1]) i = 2*i;
        else i = 2*i+1;
    }
    return i-pow2;
}

int getMax(ll low, ll high) {
    low += pow2; high += pow2;
    ll res = 0;
    while (low <= high) {
        if (low & 1) res = max(res, segMax[low++]);
        if (!(high & 1)) res = max(res, segMax[high--]);
        low /= 2; high /= 2;
    }
    return res;
}

void setX(int pos, int val) {
    if (val == x[pos]) return;
    int savedPos = pos;
    int old = x[pos];
    x[pos] = val;
    pos += pow2;
    segMul[pos] = val;
    pos /= 2;
    while (pos) {
        segMul[pos] = segMul[2*pos] * segMul[2*pos+1];
        if (segOF[2*pos] || segOF[2*pos+1] || segMul[pos] > MOD) {
            segMul[pos] %= MOD;
            segOF[pos] = true;
        }
        else {
            segOF[pos] = false;
        }
        pos /= 2;
    }
    pos = savedPos;

    if (val == 1) {
        ll prev2 = getPrev2Id(pos-1);
        lnk[prev2] = lnk[pos];
        effY[prev2] = getMax(prev2, lnk[prev2]-1);
        return;
    }
    if (old > 1) {
        effY[pos] = getMax(pos, lnk[pos]-1);
        return;
    }
    if (pos == 0) {
        effY[pos] = getMax(pos, lnk[pos]-1);
        return;
    }
    ll prev2 = getPrev2Id(pos-1);
    lnk[pos] = lnk[prev2];
    effY[pos] = getMax(pos, lnk[pos]-1);
    lnk[prev2] = pos;
    effY[prev2] = getMax(prev2, lnk[prev2]-1);
    return;
}

void setY(int pos, int val) {
    ll i = pos;
    y[i] = val;
    i += pow2;
    segMax[i] = val;
    i /= 2;
    while (i) {
        segMax[i] = max(segMax[2*i], segMax[2*i+1]);
        i /= 2;
    }

    ll prev2 = getPrev2Id(pos-1);
    effY[prev2] = getMax(prev2, lnk[prev2]-1);
    effY[pos] = getMax(pos, lnk[pos]-1);
    return;
}

int getOFId(int i = 1, ll prod = 1) {
    if (i >= pow2) return i-pow2;
    if (segOF[2*i+1] || segMul[2*i+1] * prod >= MOD) return getOFId(2*i+1, prod);
    return getOFId(2*i, prod * segMul[2*i+1]);
}

int getMulMod(int i) {
    int low = pow2, high = pow2+i;
    ll res = 1;
    while (low <= high) {
        if (low & 1) res = (res * segMul[low++]) % MOD;
        if (!(high & 1)) res = (res * segMul[high--]) % MOD;
        low /= 2; high /= 2;
    }
    return res % MOD;
}

int calc() {
    ll ofId = getOFId();
    ll mx = effY[ofId];
    ll offCnt = getMulMod(ofId);
    ll tCnt = 1;
    ll mxRes = (effY[ofId] * offCnt) % MOD;
    ofId++;
    if (!segOF[1]) {
        offCnt = 1;
        ofId = 0;
        mx = 0;
    }
    for (int i = ofId; i < n; i = lnk[i]) {
        offCnt *= x[i];
        offCnt %= MOD;
        tCnt *= x[i];
        ll val = tCnt * effY[i];
        if (val > mx) {
            mx = val;
            mxRes = (offCnt * effY[i]) % MOD;
        }
    }
    return mxRes;
}

int init(int N, int X[], int Y[]) {
	n = N; pow2 = 1ll << (ll)ceil(log2(n));
    x = vector<ll>(n);
    y = vector<ll>(n);
    lnk = vector<ll>(n);
    effY = vector<ll>(n);
    ll lastNon1 = n;
    for (int i = n-1; i >= 0; i--) {
        x[i] = X[i];
        y[i] = Y[i];
        lnk[i] = lastNon1;
        if (x[i] > 1) lastNon1 = i;
    }
    segMul = vector<ll>(2*pow2, 1);
    segMax = vector<ll>(2*pow2, 1);
    segOF = vector<bool>(2*pow2);
    for (int i = 0; i < n; i++) {
        segMul[pow2+i] = x[i];
        segMax[pow2+i] = y[i];
    }
    for (int i = pow2-1; i > 0; i--) {
        segMul[i] = segMul[2*i] * segMul[2*i+1];
        if (segOF[2*i] || segOF[2*i+1] || segMul[i] >= MOD) {
            segMul[i] %= MOD;
            segOF[i] = true;
        }
        segMax[i] = max(segMax[2*i], segMax[2*i+1]);
    }
    for (int i = 0; i < n; i = lnk[i]) {
        if (lnk[i] == i+1) effY[i] = y[i];
        else effY[i] = getMax(i, lnk[i]-1);
    }

    return calc();
}

int updateX(int pos, int val) {
    setX(pos, val);
    ll v = calc();
	return v;
}

int updateY(int pos, int val) {
    bool hi = true;
    setY(pos, val);
    ll v = calc();
	return v;
}

Compilation message

horses.cpp: In function 'int getPrev2Id(int)':
horses.cpp:22:7: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
   22 |     i += pow2;
      |     ~~^~~~~~~
horses.cpp:35:13: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
   35 |     return i-pow2;
      |            ~^~~~~
horses.cpp: In function 'int getMax(ll, ll)':
horses.cpp:46:12: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
   46 |     return res;
      |            ^~~
horses.cpp: In function 'void setX(int, int)':
horses.cpp:52:20: warning: conversion from '__gnu_cxx::__alloc_traits<std::allocator<long long int>, long long int>::value_type' {aka 'long long int'} to 'int' may change value [-Wconversion]
   52 |     int old = x[pos];
      |                    ^
horses.cpp:54:9: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
   54 |     pos += pow2;
      |     ~~~~^~~~~~~
horses.cpp: In function 'int getOFId(int, ll)':
horses.cpp:110:28: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
  110 |     if (i >= pow2) return i-pow2;
      |                           ~^~~~~
horses.cpp: In function 'int getMulMod(int)':
horses.cpp:116:15: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
  116 |     int low = pow2, high = pow2+i;
      |               ^~~~
horses.cpp:116:32: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
  116 |     int low = pow2, high = pow2+i;
      |                            ~~~~^~
horses.cpp:123:16: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
  123 |     return res % MOD;
      |                ^
horses.cpp: In function 'int calc()':
horses.cpp:129:27: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
  129 |     ll offCnt = getMulMod(ofId);
      |                           ^~~~
horses.cpp:138:18: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
  138 |     for (int i = ofId; i < n; i = lnk[i]) {
      |                  ^~~~
horses.cpp:138:40: warning: conversion from '__gnu_cxx::__alloc_traits<std::allocator<long long int>, long long int>::value_type' {aka 'long long int'} to 'int' may change value [-Wconversion]
  138 |     for (int i = ofId; i < n; i = lnk[i]) {
      |                                        ^
horses.cpp:148:12: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
  148 |     return mxRes;
      |            ^~~~~
horses.cpp: In function 'int init(int, int*, int*)':
horses.cpp:158:19: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
  158 |     for (int i = n-1; i >= 0; i--) {
      |                  ~^~
horses.cpp:171:22: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
  171 |     for (int i = pow2-1; i > 0; i--) {
      |                  ~~~~^~
horses.cpp:179:37: warning: conversion from '__gnu_cxx::__alloc_traits<std::allocator<long long int>, long long int>::value_type' {aka 'long long int'} to 'int' may change value [-Wconversion]
  179 |     for (int i = 0; i < n; i = lnk[i]) {
      |                                     ^
horses.cpp: In function 'int updateX(int, int)':
horses.cpp:190:9: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
  190 |  return v;
      |         ^
horses.cpp: In function 'int updateY(int, int)':
horses.cpp:197:9: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
  197 |  return v;
      |         ^
horses.cpp:194:10: warning: unused variable 'hi' [-Wunused-variable]
  194 |     bool hi = true;
      |          ^~

Subtask #1
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 440 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct

Subtask #2
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 604 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 440 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Incorrect 0 ms 348 KB Output isn't correct
22 Halted 0 ms 0 KB -

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 55 ms 39452 KB Output is correct
2 Correct 96 ms 44268 KB Output is correct
3 Correct 61 ms 39432 KB Output is correct
4 Correct 80 ms 41568 KB Output is correct

Subtask #4
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 344 KB Output is correct
14 Correct 1 ms 600 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Incorrect 0 ms 348 KB Output isn't correct
22 Halted 0 ms 0 KB -

Subtask #5
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 436 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 600 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 604 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 436 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Incorrect 1 ms 348 KB Output isn't correct
22 Halted 0 ms 0 KB -