This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <algorithm>
#include <iostream>
#include <numeric>
#include <cassert>
#include <vector>
#include <queue>
#include <stack>
typedef long long llong;
const int MAXN = 1000 + 10;
const int MOD = 1e9 + 7;
const int INF = 2e9;
int r, c, q;
llong power(int num, int base)
{
if (base == 0)
{
return 1;
}
if (base & 1)
{
return (num * power(num, base - 1)) % MOD;
}
llong res = power(num, base - 1);
return (res * res) % MOD;
}
void solve()
{
for (int i = 1 ; i <= q ; ++i)
{
char qType;
int colB, colE;
std::cin >> qType >> colB >> colE;
if (qType == 'P')
{
if (colB != colE) std::cout << 0 << ' ' << 0 << '\n';
else std::cout << 1 << ' ' << 1 << '\n';
continue;
}
if (qType == 'R')
{
if (colB == colE) std::cout << 1 << ' ' << 1 << '\n';
else std::cout << 2 << ' ' << 2 << '\n';
continue;
}
if (qType == 'B')
{
if (((1 + colB) % 2) != (r + colE) % 2)
{
std::cout << 0 << ' ' << 0 << '\n';
continue;
}
int minus = (colB - colE + r - 1) / 2;
int plus = minus - (colB - colE);
int stepsPlus = ((minus) / (c - 1) + ((minus) % (c - 1) > 0) + (plus - (c - colB)) / (c - 1) + (((plus - (c - colB)) % (c - 1)) > 0)) + (plus > 0 && c != colB);
int stepsMinus = ((plus) / (c - 1) + ((plus) % (c - 1) > 0) + (minus - (colB - 1)) / (c - 1) + (((minus - (colB - 1)) % (c - 1)) > 0)) + (minus > 0 && 1 != colB);
if (stepsPlus == stepsMinus)
{
std::cout << stepsPlus << ' ' << 2 << '\n';
} else
{
std::cout << std::min(stepsPlus, stepsMinus) << ' ' << 1 << '\n';
}
continue;
}
if (qType == 'Q')
{
if (colB == colE || (1 + colB) == (r + colE) || (1 - colB) == (r - colE))
{
std::cout << 1 << ' ' << 1 << '\n';
continue;
}
int ways = 4;
if (colE >= r) ways++;
if (colE + r - 1 <= c) ways++;
if (((1 + colB) % 2) == ((r + colE) % 2) && r - colB <= colE) ways++;
if (((1 + colB) % 2) == ((r + colE) % 2) && c - (r - (c - colB)) + 1 >= colE) ways++;
std::cout << 2 << ' ' << ways << '\n';
continue;
}
if (qType == 'K')
{
int diffC = abs(colB - colE);
int diffR = abs(r - 1);
int sum = std::max(diffC, diffR);
diffC = std::min(diffC, diffR);
llong ways = 1;
for (int i = sum ; i >= sum - diffC + 1 ; --i)
{
ways = (ways * i) % MOD;
ways = (ways * power(i - (sum - diffC), MOD - 2)) % MOD;
}
std::cout << sum << ' ' << ways << '\n';
}
}
}
void input()
{
std::cin >> r >> c >> q;
}
void fastIOI()
{
std::ios_base :: sync_with_stdio(0);
std::cout.tie(nullptr);
std::cin.tie(nullptr);
}
int main()
{
fastIOI();
input();
solve();
return 0;
}
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