Submission #161319

#	Time	Username	Problem	Language	Result	Execution time	Memory
161319		Ort	Automobil (COCI17_automobil)	C++11	25 / 100	1087 ms	760 KiB

automobil

#include<bits/stdc++.h>
#include<ext/pb_ds/assoc_container.hpp>
#include<ext/pb_ds/tree_policy.hpp>
#include<ext/rope>
#define MEM(a, b) memset(a, (b), sizeof(a))
#define ALL(c) (c).begin(),(c).end()
#define sz(a) ((int)(a.size()))
#define ll long long
#define LINF (ll)1e18
#define INF (int)1e9
#define MINF 0x3F3F3F3F
#define pb push_back
#define fs first
#define sc second
#define mp make_pair
#define MOD 1000000007
#define IO ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0)
#define MAX 1000005
#define watch(x) cerr<<#x<<" = "<<(x)<<endl;
 
using namespace std;
using namespace __gnu_pbds;
using namespace __gnu_cxx;
 
template<class T> using indexed_set = tree<T, null_type, less<T>, rb_tree_tag,tree_order_statistics_node_update>;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;

using namespace std;

const int base = 1000000000;
const int base_digits = 9; 
struct bigint {
    vector<int> a;
    int sign;
    int size(){
	if(a.empty())return 0;
	int ans=(a.size()-1)*base_digits;
	int ca=a.back();
	while(ca)
	    ans++,ca/=10;
	return ans;
    }
    bigint operator ^(const bigint &v){
	bigint ans=1,a=*this,b=v;
	while(!b.isZero()){
	    if(b%2)
		ans*=a;
	    a*=a,b/=2;
	}
	return ans;
    }
    string to_string(){
	stringstream ss;
	ss << *this;
	string s;
	ss >> s;
	return s;
    }
    int sumof(){
	string s = to_string();
	int ans = 0;
	for(auto c : s)  ans += c - '0';
	return ans;
    }
    /*</arpa>*/
    bigint() :
	sign(1) {
    }
 
    bigint(long long v) {
	*this = v;
    }
 
    bigint(const string &s) {
	read(s);
    }
 
    void operator=(const bigint &v) {
	sign = v.sign;
	a = v.a;
    }
 
    void operator=(long long v) {
	sign = 1;
	a.clear();
	if (v < 0)
	    sign = -1, v = -v;
	for (; v > 0; v = v / base)
	    a.push_back(v % base);
    }
 
    bigint operator+(const bigint &v) const {
	if (sign == v.sign) {
	    bigint res = v;
 
	    for (int i = 0, carry = 0; i < (int) max(a.size(), v.a.size()) || carry; ++i) {
		if (i == (int) res.a.size())
		    res.a.push_back(0);
		res.a[i] += carry + (i < (int) a.size() ? a[i] : 0);
		carry = res.a[i] >= base;
		if (carry)
		    res.a[i] -= base;
	    }
	    return res;
	}
	return *this - (-v);
    }
 
    bigint operator-(const bigint &v) const {
	if (sign == v.sign) {
	    if (abs() >= v.abs()) {
		bigint res = *this;
		for (int i = 0, carry = 0; i < (int) v.a.size() || carry; ++i) {
		    res.a[i] -= carry + (i < (int) v.a.size() ? v.a[i] : 0);
		    carry = res.a[i] < 0;
		    if (carry)
			res.a[i] += base;
		}
		res.trim();
		return res;
	    }
	    return -(v - *this);
	}
	return *this + (-v);
    }
 
    void operator*=(int v) {
	if (v < 0)
	    sign = -sign, v = -v;
	for (int i = 0, carry = 0; i < (int) a.size() || carry; ++i) {
	    if (i == (int) a.size())
		a.push_back(0);
	    long long cur = a[i] * (long long) v + carry;
	    carry = (int) (cur / base);
	    a[i] = (int) (cur % base);
	    //asm("divl %%ecx" : "=a"(carry), "=d"(a[i]) : "A"(cur), "c"(base));
	}
	trim();
    }
 
    bigint operator*(int v) const {
	bigint res = *this;
	res *= v;
	return res;
    }
 
    void operator*=(long long v) {
	if (v < 0)
	    sign = -sign, v = -v;
	for (int i = 0, carry = 0; i < (int) a.size() || carry; ++i) {
	    if (i == (int) a.size())
		a.push_back(0);
	    long long cur = a[i] * (long long) v + carry;
	    carry = (int) (cur / base);
	    a[i] = (int) (cur % base);
	    //asm("divl %%ecx" : "=a"(carry), "=d"(a[i]) : "A"(cur), "c"(base));
	}
	trim();
    }
 
    bigint operator*(long long v) const {
	bigint res = *this;
	res *= v;
	return res;
    }
 
    friend pair<bigint, bigint> divmod(const bigint &a1, const bigint &b1) {
	int norm = base / (b1.a.back() + 1);
	bigint a = a1.abs() * norm;
	bigint b = b1.abs() * norm;
	bigint q, r;
	q.a.resize(a.a.size());
 
	for (int i = a.a.size() - 1; i >= 0; i--) {
	    r *= base;
	    r += a.a[i];
	    int s1 = r.a.size() <= b.a.size() ? 0 : r.a[b.a.size()];
	    int s2 = r.a.size() <= b.a.size() - 1 ? 0 : r.a[b.a.size() - 1];
	    int d = ((long long) base * s1 + s2) / b.a.back();
	    r -= b * d;
	    while (r < 0)
		r += b, --d;
	    q.a[i] = d;
	}
 
	q.sign = a1.sign * b1.sign;
	r.sign = a1.sign;
	q.trim();
	r.trim();
	return make_pair(q, r / norm);
    }
 
    bigint operator/(const bigint &v) const {
	return divmod(*this, v).first;
    }
 
    bigint operator%(const bigint &v) const {
	return divmod(*this, v).second;
    }
 
    void operator/=(int v) {
	if (v < 0)
	    sign = -sign, v = -v;
	for (int i = (int) a.size() - 1, rem = 0; i >= 0; --i) {
	    long long cur = a[i] + rem * (long long) base;
	    a[i] = (int) (cur / v);
	    rem = (int) (cur % v);
	}
	trim();
    }
 
    bigint operator/(int v) const {
	bigint res = *this;
	res /= v;
	return res;
    }
 
    int operator%(int v) const {
	if (v < 0)
	    v = -v;
	int m = 0;
	for (int i = a.size() - 1; i >= 0; --i)
	    m = (a[i] + m * (long long) base) % v;
	return m * sign;
    }
 
    void operator+=(const bigint &v) {
	*this = *this + v;
    }
    void operator-=(const bigint &v) {
	*this = *this - v;
    }
    void operator*=(const bigint &v) {
	*this = *this * v;
    }
    void operator/=(const bigint &v) {
	*this = *this / v;
    }
 
    bool operator<(const bigint &v) const {
	if (sign != v.sign)
	    return sign < v.sign;
	if (a.size() != v.a.size())
	    return a.size() * sign < v.a.size() * v.sign;
	for (int i = a.size() - 1; i >= 0; i--)
	    if (a[i] != v.a[i])
		return a[i] * sign < v.a[i] * sign;
	return false;
    }
 
    bool operator>(const bigint &v) const {
	return v < *this;
    }
    bool operator<=(const bigint &v) const {
	return !(v < *this);
    }
    bool operator>=(const bigint &v) const {
	return !(*this < v);
    }
    bool operator==(const bigint &v) const {
	return !(*this < v) && !(v < *this);
    }
    bool operator!=(const bigint &v) const {
	return *this < v || v < *this;
    }
 
    void trim() {
	while (!a.empty() && !a.back())
	    a.pop_back();
	if (a.empty())
	    sign = 1;
    }
 
    bool isZero() const {
	return a.empty() || (a.size() == 1 && !a[0]);
    }
 
    bigint operator-() const {
	bigint res = *this;
	res.sign = -sign;
	return res;
    }
 
    bigint abs() const {
	bigint res = *this;
	res.sign *= res.sign;
	return res;
    }
 
    long long longValue() const {
	long long res = 0;
	for (int i = a.size() - 1; i >= 0; i--)
	    res = res * base + a[i];
	return res * sign;
    }
 
    friend bigint gcd(const bigint &a, const bigint &b) {
	return b.isZero() ? a : gcd(b, a % b);
    }
    friend bigint lcm(const bigint &a, const bigint &b) {
	return a / gcd(a, b) * b;
    }
 
    void read(const string &s) {
	sign = 1;
	a.clear();
	int pos = 0;
	while (pos < (int) s.size() && (s[pos] == '-' || s[pos] == '+')) {
	    if (s[pos] == '-')
		sign = -sign;
	    ++pos;
	}
	for (int i = s.size() - 1; i >= pos; i -= base_digits) {
	    int x = 0;
	    for (int j = max(pos, i - base_digits + 1); j <= i; j++)
		x = x * 10 + s[j] - '0';
	    a.push_back(x);
	}
	trim();
    }
 
    friend istream& operator>>(istream &stream, bigint &v) {
	string s;
	stream >> s;
	v.read(s);
	return stream;
    }
 
    friend ostream& operator<<(ostream &stream, const bigint &v) {
	if (v.sign == -1)
	    stream << '-';
	stream << (v.a.empty() ? 0 : v.a.back());
	for (int i = (int) v.a.size() - 2; i >= 0; --i)
	    stream << setw(base_digits) << setfill('0') << v.a[i];
	return stream;
    }
 
    static vector<int> convert_base(const vector<int> &a, int old_digits, int new_digits) {
	vector<long long> p(max(old_digits, new_digits) + 1);
	p[0] = 1;
	for (int i = 1; i < (int) p.size(); i++)
	    p[i] = p[i - 1] * 10;
	vector<int> res;
	long long cur = 0;
	int cur_digits = 0;
	for (int i = 0; i < (int) a.size(); i++) {
	    cur += a[i] * p[cur_digits];
	    cur_digits += old_digits;
	    while (cur_digits >= new_digits) {
		res.push_back(int(cur % p[new_digits]));
		cur /= p[new_digits];
		cur_digits -= new_digits;
	    }
	}
	res.push_back((int) cur);
	while (!res.empty() && !res.back())
	    res.pop_back();
	return res;
    }
 
    typedef vector<long long> vll;
 
    static vll karatsubaMultiply(const vll &a, const vll &b) {
	int n = a.size();
	vll res(n + n);
	if (n <= 32) {
	    for (int i = 0; i < n; i++)
		for (int j = 0; j < n; j++)
		    res[i + j] += a[i] * b[j];
	    return res;
	}
 
	int k = n >> 1;
	vll a1(a.begin(), a.begin() + k);
	vll a2(a.begin() + k, a.end());
	vll b1(b.begin(), b.begin() + k);
	vll b2(b.begin() + k, b.end());
 
	vll a1b1 = karatsubaMultiply(a1, b1);
	vll a2b2 = karatsubaMultiply(a2, b2);
 
	for (int i = 0; i < k; i++)
	    a2[i] += a1[i];
	for (int i = 0; i < k; i++)
	    b2[i] += b1[i];
 
	vll r = karatsubaMultiply(a2, b2);
	for (int i = 0; i < (int) a1b1.size(); i++)
	    r[i] -= a1b1[i];
	for (int i = 0; i < (int) a2b2.size(); i++)
	    r[i] -= a2b2[i];
 
	for (int i = 0; i < (int) r.size(); i++)
	    res[i + k] += r[i];
	for (int i = 0; i < (int) a1b1.size(); i++)
	    res[i] += a1b1[i];
	for (int i = 0; i < (int) a2b2.size(); i++)
	    res[i + n] += a2b2[i];
	return res;
    }
 
    bigint operator*(const bigint &v) const {
	vector<int> a6 = convert_base(this->a, base_digits, 6);
	vector<int> b6 = convert_base(v.a, base_digits, 6);
	vll a(a6.begin(), a6.end());
	vll b(b6.begin(), b6.end());
	while (a.size() < b.size())
	    a.push_back(0);
	while (b.size() < a.size())
	    b.push_back(0);
	while (a.size() & (a.size() - 1))
	    a.push_back(0), b.push_back(0);
	vll c = karatsubaMultiply(a, b);
	bigint res;
	res.sign = sign * v.sign;
	for (int i = 0, carry = 0; i < (int) c.size(); i++) {
	    long long cur = c[i] + carry;
	    res.a.push_back((int) (cur % 1000000));
	    carry = (int) (cur / 1000000);
	}
	res.a = convert_base(res.a, 6, base_digits);
	res.trim();
	return res;
    }
};


bigint sol;
bigint n, m;
ll k, x, y;
bigint sum_w;
 
char c;
vector<pair<bigint,bigint> > upd_r, upd_c;
map<bigint,bigint> Mr, Mc;
 
inline bigint mult(bigint a, bigint b) {
	return (a*b)%MOD;
}
 
inline bigint add(bigint a, bigint b) {
	return (a+b+MOD)%MOD;
}
 
inline bigint gauss(bigint from, bigint to, bigint nums) {
	return mult( add(from, to) , nums ) / 2;
}
 
inline bigint val(bigint y, bigint x) {
	return add( mult(y-1, m),x);
}
 
 
int main() {
	cin >> n >> m >> k;
	for(int i=0;i<k;i++) {
		cin >> c >> x >> y;
		if(c=='R') {
			if(Mr.find(x)==Mr.end()) Mr[x] = y;
			else Mr[x] *= y;
		}
		else {
			if(Mc.find(x)==Mc.end()) Mc[x] = y;
			else Mc[x] *= y;
		}
	}
	for(auto x:Mr) upd_r.pb(mp(x.first,x.second));
	for(auto x:Mc) upd_c.pb(mp(x.first,x.second));
	
	
	
	sort(ALL(upd_r)); sort(ALL(upd_c));
	for(int i=0;i<sz(upd_c);i++) {
		bigint col = upd_c[i].fs;
		bigint col_up = upd_c[i].sc;
		bigint last_row = 1;
		for(int j=0;j<sz(upd_r);j++) {
			bigint row = upd_r[j].fs;
			bigint row_up = upd_r[j].sc;
			if(row==last_row) {
				bigint c = val(row, col);
				sol = add(sol, mult(c, mult(col_up,row_up) ) );
				sum_w = add(sum_w, c);
				last_row = row+1;
				continue;
			}
			else if(row==last_row+1) {
				bigint c = val(last_row, col);
				sol = add(sol, mult(c,col_up) );
				sum_w = add(sum_w, c);
				last_row = row+1;
			}
			else {
				bigint cl = val(last_row, col);
				bigint ch = val(row-1, col);
				bigint sum_range = gauss(cl, ch, row-last_row);
				bigint mult_range = mult(sum_range, col_up);
				sol = add(sol, mult_range);
				sum_w = add(sum_w, sum_range);
				last_row = row+1;	
			}
			bigint c = val(row, col);
			sol = add(sol, mult(c, mult(col_up,row_up) ) );
			sum_w = add(sum_w, c);
			last_row = row+1;
		}
		if(last_row>n) continue;
		else if(last_row==n) {
			bigint c = val(n, col);
			sol = add(sol, mult(c, col_up) );
			sum_w = add(sum_w, c);
		}
		else {
			bigint cl = val(last_row, col);
			bigint ch = val(n, col);
			bigint sum_range = gauss(cl, ch, n-last_row+1);
			bigint mult_range = mult(sum_range, col_up);
			sol = add(sol, mult_range);
			sum_w = add(sum_w, sum_range);
		}
	}
	for(int i=0;i<sz(upd_r);i++) {
		bigint row = upd_r[i].fs;
		bigint row_up = upd_r[i].sc; bigint last_col = 1;
		for(int j=0;j<sz(upd_c);j++) {
			bigint col = upd_c[j].fs;
			bigint col_up = upd_c[j].sc;
			if(last_col==col) {
				last_col = col + 1;
				continue;
			}
			else if(col==last_col+1) {
				bigint c = val(row, last_col);
				sol = add(sol, mult(c,row_up) );
				sum_w = add(sum_w, c);
				last_col = col + 1;
				continue;
			}
			else {
				bigint cl = val(row, last_col);
				bigint ch = val(row, col-1);
				bigint sum_range = gauss(cl, ch, col-last_col);
				bigint mult_range = mult(sum_range, row_up);
				sol = add(sol, mult_range);
				sum_w = add(sum_w, sum_range);
				last_col = col+1;
			}
		}
		if(last_col>m) continue;
		else if(last_col==m) {
			bigint c = val(row, m);
			sol = add(sol, mult(c,row_up) );
			sum_w = add(sum_w, c);
		}
		else {
			bigint cl = val(row,last_col);
			bigint ch = val(row, m);
			bigint sum_range = gauss(cl, ch, m-last_col+1);
			bigint mult_range = mult(sum_range, row_up);
			sol = add(sol, mult_range);
			sum_w = add(sum_w, sum_range);		
		}	
	}
	bigint t = mult(n, m);
	bigint total_no_update = mult(t, t+1) / 2;
	bigint res = total_no_update - sum_w;
	cout << add(sol, res);
	return 0;
}

• Subtask 1: 25 / 100