Submission #659292

#TimeUsernameProblemLanguageResultExecution timeMemory
659292marvinthangSalesman (IOI09_salesman)C++17
60 / 100
763 ms51260 KiB
/*************************************
*    author: marvinthang             *
*    created: 17.11.2022 15:31:48    *
*************************************/

#include <bits/stdc++.h>

using namespace std;

#define                  fi  first
#define                  se  second
#define                 div  ___div
#define                left  ___left
#define               right  ___right
#define                TIME  (1.0 * clock() / CLOCKS_PER_SEC)
#define             MASK(i)  (1LL << (i))
#define             FULL(i)  (MASK(i) - 1)
#define           BIT(x, i)  ((x) >> (i) & 1)
#define  __builtin_popcount  __builtin_popcountll
#define              ALL(v)  (v).begin(), (v).end()
#define           REP(i, n)  for (int i = 0, _n = (n); i < _n; ++i)
#define          FORE(i, v)  for (__typeof((v).begin()) i = (v).begin(); i != (v).end(); ++i)
#define        FOR(i, a, b)  for (int i = (a), _b = (b); i <= _b; ++i) 
#define       FORD(i, b, a)  for (int i = (b), _a = (a); i >= _a; --i) 
#define        scan_op(...)  istream & operator >> (istream &in, __VA_ARGS__ &u)
#define       print_op(...)  ostream & operator << (ostream &out, const __VA_ARGS__ &u)
#define          file(name)  if (fopen(name".inp", "r")) { freopen(name".inp", "r", stdin); freopen(name".out", "w", stdout); }

template <class T>             scan_op(vector <T>)  { for (size_t i = 0; i < u.size(); ++i) in >> u[i]; return in; }
template <class T>            print_op(vector <T>)  { out << '{'; for (size_t i = 0; i + 1 < u.size(); ++i) out << u[i] << ", "; if (!u.empty()) out << u.back(); return out << '}'; }
template <class U, class V>   scan_op(pair <U, V>)  { return in >> u.fi >> u.se; }
template <class U, class V>  print_op(pair <U, V>)  { return out << '(' << u.fi << ", " << u.se << ')'; }
template <class A, class B> bool minimize(A &a, B b)  { if (a > b) { a = b; return true; } return false; }
template <class A, class B> bool maximize(A &a, B b)  { if (a < b) { a = b; return true; } return false; }

// end of template

const double PI = 3.1415926535897932384626433832795; // acos(-1.0); atan(-1.0);
const int dir[] = {1, 0, -1, 0, 1, 1, -1, -1, 1}; // {2, 1, -2, -1, -2, 1, 2, -1, 2};
const int MAX = 5e5 + 5;
const int INF = 2e9 + 7;

struct TradeFair {
	int day, position, profitability;
	TradeFair(int d = 0, int l = 0, int p = 0): day(d), position(l), profitability(p) {}
};

int numTradeFair, upStreamCost, downStreamCost, homePos;
TradeFair tf[MAX];
vector <int> inDay[MAX];

void init(void) {
	cin >> numTradeFair >> upStreamCost >> downStreamCost >> homePos;
	FOR(i, 1, numTradeFair) {
		cin >> tf[i].day >> tf[i].position >> tf[i].profitability;
		inDay[tf[i].day].push_back(i);
	}
}

struct Node {
	int maxUp, maxDown;
	Node(): maxUp(-INF),maxDown(-INF) {}
	Node(int dp, int pos) {
		maxUp = dp - pos * upStreamCost;
		maxDown = dp + pos * downStreamCost;
	}
	Node operator + (const Node &other) const {
		Node res;
		res.maxUp = max(maxUp, other.maxUp);
		res.maxDown = max(maxDown, other.maxDown);
		return res;
	}
} st[MAX << 2];

void update(int i, int l, int r, int p, int dp) {
	if (l == r) {
		st[i] = Node(dp, l);
		return;
	}
	int m = l + r >> 1;
	if (p <= m) update(i << 1, l, m, p, dp);
	else update(i << 1 | 1, m + 1, r, p, dp);
	st[i] = st[i << 1] + st[i << 1 | 1];
}

Node get(int i, int l, int r, int u, int v) {
	if (l > v || r < u) return Node();
	if (u <= l && r <= v) return st[i];
	int m = l + r >> 1;
	return get(i << 1, l, m, u, v) + get(i << 1 | 1, m + 1, r, u, v);
}

int dp[MAX];

void process(void) {
	int maxPosition = homePos, maxDay = 0;

	FOR(i, 1, numTradeFair) {
		maximize(maxPosition, tf[i].position);
		maximize(maxDay, tf[i].day);
	}
	tf[++numTradeFair] = TradeFair(++maxDay, homePos, 0);
	inDay[maxDay].push_back(numTradeFair);

	update(1, 1, maxPosition, homePos, 0);
	FOR(d, 1, maxDay) if (!inDay[d].empty()) {
		for (int i: inDay[d]) {
			dp[i] = get(1, 1, maxPosition, 1, tf[i].position).maxDown - tf[i].position * downStreamCost;
			maximize(dp[i], get(1, 1, maxPosition, tf[i].position, maxPosition).maxUp + tf[i].position * upStreamCost);
			dp[i] += tf[i].profitability;
		}
		sort(inDay[d].begin(), inDay[d].end(), [&] (int i, int j) { return tf[i].position < tf[j].position; });
		vector <int> f(inDay[d].size(), -INF), g(inDay[d].size(), -INF);

		int best = -INF;
		REP(p, inDay[d].size()) {
			int i = inDay[d][p];
			best = max(best, tf[i].position * (downStreamCost + upStreamCost));
			f[p] = best + dp[i] - tf[i].position * upStreamCost;
			best += tf[i].profitability;
		}

		best = -INF;
		FORD(p, (int) inDay[d].size() - 1, 0) {
			int i = inDay[d][p];
			best = max(best, tf[i].position * (-upStreamCost - downStreamCost));
			g[p] = best + dp[i] + tf[i].position * downStreamCost;
			best += tf[i].profitability;
		}

		best = -INF;
		REP(p, inDay[d].size()) {
			int i = inDay[d][p];
			maximize(best, f[p]);
			maximize(dp[i], best - tf[i].position * downStreamCost);
		}

		best = -INF;
		FORD(p, (int) inDay[d].size() - 1, 0) {
			int i = inDay[d][p];
			maximize(best, g[p]);
			maximize(dp[i], best + tf[i].position * upStreamCost);
			update(1, 1, maxPosition, tf[i].position, dp[i]);
		}
	}
	cout << dp[numTradeFair] << '\n';
}

int main(void) {
	ios_base::sync_with_stdio(false); cin.tie(nullptr); // cout.tie(nullptr);
	file("salesman");
	init();
	process();
	cerr << "Time elapsed: " << TIME << " s.\n";
	return (0^0);
}

Compilation message (stderr)

salesman.cpp: In function 'void update(int, int, int, int, int)':
salesman.cpp:80:12: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   80 |  int m = l + r >> 1;
      |          ~~^~~
salesman.cpp: In function 'Node get(int, int, int, int, int)':
salesman.cpp:89:12: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   89 |  int m = l + r >> 1;
      |          ~~^~~
salesman.cpp: In function 'int main()':
salesman.cpp:27:67: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   27 | #define          file(name)  if (fopen(name".inp", "r")) { freopen(name".inp", "r", stdin); freopen(name".out", "w", stdout); }
      |                                                            ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
salesman.cpp:151:2: note: in expansion of macro 'file'
  151 |  file("salesman");
      |  ^~~~
salesman.cpp:27:100: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   27 | #define          file(name)  if (fopen(name".inp", "r")) { freopen(name".inp", "r", stdin); freopen(name".out", "w", stdout); }
      |                                                                                             ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
salesman.cpp:151:2: note: in expansion of macro 'file'
  151 |  file("salesman");
      |  ^~~~
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