Submission #147668

# Submission time Handle Problem Language Result Execution time Memory
147668 2019-08-30T11:30:52 Z BorisBarca Automobil (COCI17_automobil) C++14
100 / 100
28 ms 15992 KB
/*
	$$$$$$$\                      $$\           $$$$$$$\
	$$  __$$\                     \__|          $$  __$$\
	$$ |  $$ | $$$$$$\   $$$$$$\  $$\  $$$$$$$\ $$ |  $$ | $$$$$$\   $$$$$$\   $$$$$$$\ $$$$$$\
	$$$$$$$\ |$$  __$$\ $$  __$$\ $$ |$$  _____|$$$$$$$\ | \____$$\ $$  __$$\ $$  _____|\____$$\
	$$  __$$\ $$ /  $$ |$$ |  \__|$$ |\$$$$$$\  $$  __$$\  $$$$$$$ |$$ |  \__|$$ /      $$$$$$$ |
	$$ |  $$ |$$ |  $$ |$$ |      $$ | \____$$\ $$ |  $$ |$$  __$$ |$$ |      $$ |     $$  __$$ |
	$$$$$$$  |\$$$$$$  |$$ |      $$ |$$$$$$$  |$$$$$$$  |\$$$$$$$ |$$ |      \$$$$$$$\\$$$$$$$ |
	\_______/  \______/ \__|      \__|\_______/ \_______/  \_______|\__|       \_______|\_______|
*/
#include <bits/stdc++.h>

using namespace std;

#define PB push_back
#define MP make_pair
#define INS insert
#define LB lower_bound
#define UB upper_bound
#define pii pair <int,int>
#define pll pair <long long, long long>
#define si pair<string, int>
#define is pair<int, string>
#define X first
#define Y second
#define _ << " " <<
#define sz(x) (int)x.size()
#define all(a) (a).begin(),(a).end()
#define FOR(i, a, b) for (int i = (a); i < (b); ++i)
#define FORD(i, a, b) for (int i = (a); i > (b); --i)
#define FORR(i, l, r) for (int i = (l); i <= (r); ++i)
#define FORP(i, a, b) for ((i) = (a); (i) < (b); ++i)
#define FORA(i, x) for (auto &i : x)
#define REP(i, n) FOR(i, 0, n)
#define BITS(x) __builtin_popcount(x)
#define MSET memset
#define MCPY memcpy
#define SQ(a) (a) * (a)
#define TRACE(x) cout << #x " = " << (x) << '\n';
#define YES cout << "YES\n"
#define NO cout << "NO\n"

typedef long long ll;
typedef long double ld;
typedef vector <int> vi;
typedef vector <pii> vpi;
typedef vector <ll> vll;
typedef vector <pll> vpl;
typedef vector <double> vd;
typedef vector <ld> vld;
typedef vector<si> vsi;
typedef vector<is> vis;
typedef vector<string> vs;
//((float) t)/CLOCKS_PER_SEC

const int MOD = 1e9 + 7;
const double PI = acos(-1);
const int LOG = 19;
const int INF = 1e9 + 10;
const ll INFL = 1e18 + 10;
const int ABC = 30;
const int dx[] = {-1, 1, 0, 0};
const int dy[] = {0, 0, -1, 1};
const int dox[] = {-1, 1, 0, 0, -1, -1, 1, 1};
const int doy[] = {0, 0, -1, 1, -1, 1, -1, 1};

inline int sum(ll a, ll b){
  if (a + b >= MOD)
  	return a + b - MOD;
  if (a + b < 0)
  	return a + b + MOD;
  return a + b;
}

inline void add(ll &a, ll b){
  a = sum(a, b);
}

inline int mul(ll a, ll b){
  return (ll)a * (ll)b % MOD;
}

inline int sub(ll a, ll b){
	return (a - b + MOD) % MOD;
}

inline int pot(ll pot, int n){
	ll ret = 1;
	while (n){
		if (n & 1)
			ret = (ret * pot) % MOD;
		pot = (pot * pot) % MOD;
		n >>= 1;
	}
	return ret;
}

inline int divide(int a, int b){
	return mul(a, pot(b, MOD - 2));
}

ll lcm(ll a, ll b){
	return abs(a * b) / __gcd(a, b);
}

inline double ccw(pii A, pii B, pii C){
	return (A.X * B.Y) - (A.Y * B.X) + (B.X * C.Y) - (B.Y * C.X) + (C.X * A.Y) - (C.Y * A.X);
}

inline int CCW(pii A, pii B, pii C){
	double val = ccw(A, B, C);
	double eps = max(max(abs(A.X), abs(A.Y)), max(max(abs(B.X), abs(B.Y)), max(abs(C.X), abs(C.Y)))) / 1e9;
	if (val <= -eps)
		return -1;
	if (val >= eps)
		return 1;
	return 0;
}

void to_upper(string &x){
	REP(i, sz(x))
		x[i] = toupper(x[i]);
}

void to_lower(string &x){
	REP(i, sz(x))
		x[i] = tolower(x[i]);
}

string its(ll x){
	if (x == 0)
		return "0";
	string ret = "";
	while (x > 0){
		ret += (x % 10) + '0';
		x /= 10;
	}
	reverse(all(ret));
	return ret;
}

ll sti(string s){
	ll ret = 0;
	REP(i, sz(s)){
		ret *= 10;
		ret += (s[i] - '0');
	}
	return ret;
}

const int N = 1e6 + 10;

ll n, m, r[N], c[N];

ll gauss(ll x){
	return (x * (x + 1) / 2) % MOD;
}

ll row(ll x){
	ll a = mul(x, m);
	ll b = mul(sub(x, 1), m);
	return sub(gauss(a), gauss(b));
}

int main () {
	ios_base::sync_with_stdio(false);
	cin.tie(0);
	cout.tie(0);

	cin >> n >> m;
	REP(i, n)
		r[i + 1] = 1;

	REP(i, m)
		c[i + 1] = 1;

	int k; cin >> k;
	REP(i, k){
		char t; cin >> t;
		int x, y; cin >> x >> y;
		if (t == 'R')
			r[x] = mul(r[x], y);
		else
			c[x] = mul(c[x], y);
	}

	ll sol = gauss(mul(n, m));
	
	vpl s;
	FOR(i, 1, m + 1)
		if (c[i] != 1)
			s.PB({i, c[i]});

	vpl red;
	FOR(i, 1, n + 1)
		if (r[i] != 1)
			red.PB({i, r[i]});

	ll poc = 0;
	REP(i, n)
		add(poc, mul(i, m));

	FORA(x, s){
		add(sol, mul(x.Y, sum(poc, mul(x.X, n))));
		sol = sub(sol, sum(poc, mul(x.X, n)));
	}

	FORA(x, red){
		add(sol, mul(x.Y, row(x.X)));
		sol = sub(sol, row(x.X));
	}

	FORA(x, red){
		FORA(y, s){
			ll e = sum(mul(x.X - 1, m), y.X);
			sol = sub(sol, mul(x.Y, e));
			sol = sub(sol, mul(y.Y, e));
			add(sol, mul(mul(x.Y, y.Y), e));
			add(sol, e);
		}
	}

	cout << sol << '\n';

	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 3 ms 376 KB Output is correct
2 Correct 6 ms 376 KB Output is correct
3 Correct 3 ms 380 KB Output is correct
4 Correct 3 ms 380 KB Output is correct
5 Correct 3 ms 376 KB Output is correct
6 Correct 3 ms 376 KB Output is correct
7 Correct 4 ms 376 KB Output is correct
8 Correct 3 ms 376 KB Output is correct
9 Correct 4 ms 376 KB Output is correct
10 Correct 5 ms 380 KB Output is correct
11 Correct 7 ms 2808 KB Output is correct
12 Correct 19 ms 8696 KB Output is correct
13 Correct 4 ms 1016 KB Output is correct
14 Correct 15 ms 10104 KB Output is correct
15 Correct 17 ms 9080 KB Output is correct
16 Correct 28 ms 15992 KB Output is correct
17 Correct 28 ms 15992 KB Output is correct
18 Correct 28 ms 15992 KB Output is correct
19 Correct 28 ms 15992 KB Output is correct
20 Correct 28 ms 15992 KB Output is correct