// Om Namah Shivaya
// GM in 123 days
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long int ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL)
#define endl '\n'
#define pb push_back
#define conts continue
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define yes cout << "YES" << endl
#define no cout << "NO" << endl
#define ff first
#define ss second
#define ceil2(x,y) ((x+y-1) / (y))
#define sz(a) a.size()
#define setbits(x) __builtin_popcountll(x)
#ifndef ONLINE_JUDGE
#define debug(x) cout << #x <<" = "; print(x); cout << endl
#else
#define debug(x)
#endif
#define rep(i,n) for(int i = 0; i < n; ++i)
#define rep1(i,n) for(int i = 1; i <= n; ++i)
#define rev(i,s,e) for(int i = s; i >= e; --i)
#define trav(i,a) for(auto &i : a)
bool iseven(ll n) {if ((n & 1) == 0) return true; return false;}
void print(ll t) {cout << t;}
void print(int t) {cout << t;}
void print(string t) {cout << t;}
void print(char t) {cout << t;}
void print(double t) {cout << t;}
void print(ld t) {cout << t;}
template <class T, class V> void print(pair <T, V> p);
template <class T> void print(vector <T> v);
template <class T> void print(set <T> v);
template <class T, class V> void print(map <T, V> v);
template <class T> void print(multiset <T> v);
template <class T, class V> void print(pair <T, V> p) {cout << "{"; print(p.ff); cout << ","; print(p.ss); cout << "}";}
template <class T> void print(vector <T> v) {cout << "[ "; for (T i : v) {print(i); cout << " ";} cout << "]";}
template <class T> void print(set <T> v) {cout << "[ "; for (T i : v) {print(i); cout << " ";} cout << "]";}
template <class T> void print(multiset <T> v) {cout << "[ "; for (T i : v) {print(i); cout << " ";} cout << "]";}
template <class T, class V> void print(map <T, V> v) {cout << "[ "; for (auto i : v) {print(i); cout << " ";} cout << "]";}
template<typename T> void amin(T &a, T b) { a = min(a, b); }
template<typename T> void amax(T &a, T b) { a = max(a, b); }
void usaco(string filename) {
freopen((filename + ".in").c_str(), "r", stdin);
freopen((filename + ".out").c_str(), "w", stdout);
}
const int MOD = 1e9 + 7;
const int maxn = 1e5 + 5;
const int inf1 = 1e9 + 5;
const ll inf2 = ll(1e18) + 5;
void solve(int test_case)
{
/*
https://ideone.com/Ejf10T => though my sol idea is not similar to this code,
i got the ideas for building the sol from this code
sol idea: initially do all the row operations, then modify the column sum 'colsum' values and then do the column operations
val = the initial value written on a given cell
colsum[j] = sum of all cells in column j, initially stores the sum of all the initial values written on the cells in column j
modifying the 'colsum' array: colsum[j] - val + val * rowmul[i] = colsum[j] + val * (rowmul[i] - 1)
when moving from col to col + 1, the summation of val * (rowmul[i] - 1) over all i
increases by 'sum', where sum = the sum of (rowmul[i] - 1) over all i
this is because the value 'val' of all cells increase by 1 when u go from col to col + 1
(val + 1) * (rowmul[i] - 1) - val * (rowmul[i] - 1) = rowmul[i] - 1
*/
ll n, m, k; cin >> n >> m >> k;
vector<ll> rowmul(n + 5, 1), colmul(m + 5, 1);
rep1(i, k) {
char ch; cin >> ch;
ll x, y; cin >> x >> y;
if (ch == 'R') rowmul[x] = (rowmul[x] * y) % MOD;
else colmul[x] = (colmul[x] * y) % MOD;
}
auto get = [&](ll i, ll j) {
return ((i - 1) * m + j) % MOD;
};
auto apsum = [&](ll a, ll d) {
// 0.5n*(2a + (n - 1)d)
ll res = n * (2 * a + (n - 1) * d);
res /= 2;
res %= MOD;
return res;
};
vector<ll> colsum(m + 5);
rep1(j, m) {
colsum[j] = apsum(j, m);
}
ll sum = 0, curr = 0;
rep1(i, n) {
sum += rowmul[i] - 1;
sum %= MOD;
ll temp = (get(i, 1) * (rowmul[i] - 1) % MOD + MOD) % MOD;
curr = (curr + temp) % MOD;
}
ll ans = 0;
rep1(j, m) {
colsum[j] = (colsum[j] + curr + MOD) % MOD;
ll toadd = colsum[j] * colmul[j] % MOD;
ans = (ans + toadd) % MOD;
curr = (curr + sum) % MOD;
}
cout << ans << endl;
}
int main()
{
fastio;
int t = 1;
// cin >> t;
rep1(i, t) {
solve(i);
}
return 0;
}
Compilation message
automobil.cpp: In function 'void usaco(std::string)':
automobil.cpp:64:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
64 | freopen((filename + ".in").c_str(), "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
automobil.cpp:65:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
65 | freopen((filename + ".out").c_str(), "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
340 KB |
Output is correct |
| 2 |
Correct |
1 ms |
340 KB |
Output is correct |
| 3 |
Correct |
1 ms |
212 KB |
Output is correct |
| 4 |
Correct |
1 ms |
340 KB |
Output is correct |
| 5 |
Correct |
1 ms |
340 KB |
Output is correct |
| 6 |
Correct |
1 ms |
340 KB |
Output is correct |
| 7 |
Correct |
1 ms |
328 KB |
Output is correct |
| 8 |
Correct |
1 ms |
340 KB |
Output is correct |
| 9 |
Correct |
1 ms |
328 KB |
Output is correct |
| 10 |
Correct |
1 ms |
340 KB |
Output is correct |
| 11 |
Correct |
4 ms |
3796 KB |
Output is correct |
| 12 |
Correct |
13 ms |
11732 KB |
Output is correct |
| 13 |
Correct |
2 ms |
1364 KB |
Output is correct |
| 14 |
Correct |
15 ms |
13188 KB |
Output is correct |
| 15 |
Correct |
15 ms |
13012 KB |
Output is correct |
| 16 |
Correct |
25 ms |
23764 KB |
Output is correct |
| 17 |
Correct |
27 ms |
23752 KB |
Output is correct |
| 18 |
Correct |
26 ms |
23764 KB |
Output is correct |
| 19 |
Correct |
28 ms |
23804 KB |
Output is correct |
| 20 |
Correct |
25 ms |
23756 KB |
Output is correct |
