#include<bits/stdc++.h>
using namespace std;
//#include<ext/pb_ds/assoc_container.hpp>
//#include<ext/pb_ds/tree_policy.hpp>
//
// #pragma GCC optimize("unroll-loops")
// #pragma GCC optimize("Ofast")
// #pragma GCC optimize("-O3")
// #pragma GCC optimize("no-stack-protector")
// #pragma GCC optimize("fast-math")
//#define LOCAL
#define sim template < class c
#define ris return * this
#define dor > debug & operator <<
#define eni(x) sim > typename \
enable_if<sizeof dud<c>(0) x 1, debug&>::type operator<<(c i) {
sim > struct rge { c b, e; };
sim > rge<c> range(c i, c j) { return rge<c>{i, j}; }
sim > auto dud(c* x) -> decltype(cerr << *x, 0);
sim > char dud(...);
struct debug {
#ifndef LOCAL
~debug() { cerr << endl; }
eni(!=) cerr << boolalpha << i; ris; }
eni(==) ris << range(begin(i), end(i)); }
sim, class b dor(pair < b, c > d) {
ris << "(" << d.first << ", " << d.second << ")";
}
sim dor(rge<c> d) {
*this << "[";
for (auto it = d.b; it != d.e; ++it)
*this << ", " + 2 * (it == d.b) << *it;
ris << "]";
}
#else
sim dor(const c&) { ris; }
#endif
};
#define imie(...) " [" << #__VA_ARGS__ ": " << (__VA_ARGS__) << "] "
#define fi first
#define f first
#define se second
#define s second
#define vi_a vector<int>a;
#define p_b push_back
////////////////////////////////???????????????CHECK THIS OUT???????????????//////////////////////////////
#define ll long long
typedef unsigned long long ull;
////////////////////////////////???????????????CHECK THIS OUT???????????????//////////////////////////////
#define ld long double
#define pll pair<ll,ll>
#define pii pair<int,int>
#define m_p make_pair
#define fast_io cin.tie(0);cout.tie(0);ios_base::sync_with_stdio(0);
#define all(x) x.begin(),x.end()
#define getfiles ifstream cin("input.txt");ofstream cout("output.txt");
#define pw(x) (1ll << x)
#define sz(x) (int)x.size()
#define endl "\n"
#define rall(x) x.rbegin(),x.rend()
#define len(a) (ll)a.size()
#define rep(x,l,r) for(ll x=l;x<r;x++)
//using namespace __gnu_pbds;
ld eps = (ld)1 / 1e6;
const ld pi=3.14159265359;
ll inf = 1e18,mod1=1e9+7;
ll sqr(ll a) { return a * a; }
ll qb(ll a) { return a * a * a; }
ll gcd(ll a, ll b) { return !a ? b : gcd(b % a, a); }
ll binpow(ll a, ll b, ll mod) { return b ? (b % 2 ? (a * (sqr(binpow(a, b / 2, mod)) % mod)) % mod : sqr(binpow(a, b / 2, mod)) % mod) : 1; }
ll binmult(ll a, ll b, ll mod) { return b ? (b % 2 ? (2 * binmult(a, b / 2, mod) + a) % mod : (2 * binmult(a, b / 2, mod)) % mod) : 0; }
/////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
const ll R=1e4;
const ll tx[4]={0,0,-1,1};
const ll ty[4]={-1,1,0,0};
const char rev_to[4]={'E','W','N','S'};
const int N=1e6+1e5;
const int M=1e9+7;
//typedef tree<ll,null_type,less<ll>,rb_tree_tag,tree_order_statistics_node_update> st;
auto rnd=bind(uniform_int_distribution<ll>(1,1e18),mt19937(time(0)));
ll sub(ll a,ll b){
return (a-b+M)%M;
}
ll mult(ll a,ll b){
return binmult(a,b,M);
}
ll add(ll a,ll b){
return (a+b)%M;
}
ll r[N],c[N];
bool usedr[N],usedc[N];
signed main()
{
fast_io;
ll n,m,k;
cin>>n>>m>>k;
ll ans=0;
ll two=binpow(2,M-2,M);
char cc;ll a2,a1;
for(int i=0;i<k;i++){
cin>>cc>>a1>>a2;--a1;
if(cc=='R'){
if(!usedr[a1]){
usedr[a1]=1;
r[a1]=a2;
}else r[a1]=mult(r[a1],a2);
}else{
if(!usedc[a1]){
usedc[a1]=1;
c[a1]=a2;
}else c[a1]=mult(c[a1],a2);
}
}
vector<pll>lol;
for(int i=0;i<n;i++){
if(usedr[i]){
ll f=(1+i*m),last=(f+m-1);
ll s=mult(mult(add(f,last),m),two);
ans=add(ans,mult(s,r[i]));
lol.p_b({i,r[i]});
}else{
ll f=(1+i*m),last=(f+m-1);
ll s=mult(mult(add(f,last),m),two);
ans=add(ans,s);
}
}
for(int i=0;i<m;i++){
if(!usedc[i]) continue;
ll f=i+1,last=(f+(n-1)*m);
ll s=mult(mult(add(f,last),n),two);
for(auto &z : lol){
ll val=(1+i+z.f*m);
z.s%=M;
ll newval=mult(val,z.s);
s=sub(s,val);
s=add(s,newval);
}
ans=sub(ans,s);
ans=add(ans,mult(s,c[i]));
}
cout<<(ans+M)%M;
return 0;
}
/*
5 10 15 20
5 6 7 8
/
*/
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
3 ms |
384 KB |
Output is correct |
| 2 |
Correct |
14 ms |
384 KB |
Output is correct |
| 3 |
Correct |
2 ms |
384 KB |
Output is correct |
| 4 |
Correct |
5 ms |
384 KB |
Output is correct |
| 5 |
Correct |
12 ms |
384 KB |
Output is correct |
| 6 |
Correct |
5 ms |
384 KB |
Output is correct |
| 7 |
Correct |
24 ms |
384 KB |
Output is correct |
| 8 |
Correct |
7 ms |
384 KB |
Output is correct |
| 9 |
Correct |
20 ms |
384 KB |
Output is correct |
| 10 |
Correct |
26 ms |
384 KB |
Output is correct |
| 11 |
Correct |
76 ms |
2048 KB |
Output is correct |
| 12 |
Correct |
278 ms |
4480 KB |
Output is correct |
| 13 |
Correct |
19 ms |
1024 KB |
Output is correct |
| 14 |
Correct |
272 ms |
1016 KB |
Output is correct |
| 15 |
Correct |
229 ms |
4096 KB |
Output is correct |
| 16 |
Correct |
392 ms |
5820 KB |
Output is correct |
| 17 |
Correct |
387 ms |
5752 KB |
Output is correct |
| 18 |
Correct |
394 ms |
5752 KB |
Output is correct |
| 19 |
Correct |
387 ms |
5504 KB |
Output is correct |
| 20 |
Correct |
397 ms |
5752 KB |
Output is correct |
