Problem:
Score : 300 points

Problem Statement

Snuke is making sugar water in a beaker.
Initially, the beaker is empty. Snuke can perform the following four types of operations any number of times. He may choose not to perform some types of operations.

Operation 1: Pour 100A grams of water into the beaker.

Operation 2: Pour 100B grams of water into the beaker.

Operation 3: Put C grams of sugar into the beaker.

Operation 4: Put D grams of sugar into the beaker.

In our experimental environment, E grams of sugar can dissolve into 100 grams of water.

Snuke will make sugar water with the highest possible density.

The beaker can contain at most F grams of substances (water and sugar combined), and there must not be any undissolved sugar in the beaker.
Find the mass of the sugar water Snuke will make, and the mass of sugar dissolved in it.
If there is more than one candidate, any of them will be accepted.

We remind you that the sugar water that contains a grams of water and b grams of sugar is \frac{100b}{a + b} percent.
Also, in this problem, pure water that does not contain any sugar is regarded as 0 percent density sugar water.

Constraints

1 \leq A < B \leq 30

1 \leq C < D \leq 30

1 \leq E \leq 100

100A \leq F \leq 3 000

A, B, C, D, E and F are all integers.

Inputs

Input is given from Standard Input in the following format:

A B C D E F

Outputs

Print two integers separated by a space.
The first integer should be the mass of the desired sugar water, and the second should be the mass of the sugar dissolved in it.

Sample Input 1

1 2 10 20 15 200

Sample Output 1

110 10

In this environment, 15 grams of sugar can dissolve into 100 grams of water, and the beaker can contain at most 200 grams of substances.

We can make 110 grams of sugar water by performing Operation 1 once and Operation 3 once.
It is not possible to make sugar water with higher density.
For example, the following sequences of operations are infeasible:

If we perform Operation 1 once and Operation 4 once, there will be undissolved sugar in the beaker.

If we perform Operation 2 once and Operation 3 three times, the mass of substances in the beaker will exceed 200 grams.

Sample Input 2

1 2 1 2 100 1000

Sample Output 2

200 100

There are other acceptable outputs, such as:

400 200

However, the output below is not acceptable:

300 150

This is because, in order to make 300 grams of sugar water containing 150 grams of sugar, we need to pour exactly 150 grams of water into the beaker, which is impossible.

Sample Input 3

17 19 22 26 55 2802

Sample Output 3

2634 934

Solution in C (GCC 5.4.1) (judge verdict: Accepted)

/*
cat <<EOF >mistaken-paste
*/

#pragma GCC diagnostic ignored "-Wincompatible-pointer-types"

#include <stdio.h>
#include <stdint.h>
#include <stdlib.h>
#include <string.h>
#include <stdbool.h>
#include <math.h>

#define BIG 2000000007
#define VERYBIG 200000000000007LL

#define MOD 1000000007
typedef uint64_t ull;
typedef  int64_t sll;

#define N_MAX 100000
#define M_MAX 400

#ifdef __cplusplus
#include <queue>
#include <stack>
// #include <tuple>

using namespace std; // I'm NOT gonna use C++ without compro. shit

typedef priority_queue<ull, vector<ull>, greater<ull> > upque123;
typedef priority_queue<ull, vector<ull> > upque321;
typedef priority_queue<sll, vector<sll>, greater<sll> > spque123;
typedef priority_queue<sll, vector<sll> > spque321;

#endif

typedef struct {
	int32_t a;
	int32_t b;
} hw;

typedef struct {
	sll a;
	sll b;
} hwll;

typedef struct {
	hwll a;
	hwll b;
} linell;


typedef struct {
	ull s;
	ull t;
	int32_t c;
} struct_a;

typedef struct {
	int32_t from;
	int32_t to;
	sll cost;
} struct_b;



const hw vector8[8] = {
	{-1, -1},
	{-1,  0},
	{-1, +1},
	{ 0, -1},
	{ 0, +1},
	{+1, -1},
	{+1,  0},
	{+1, +1}
};

ull n, m;
ull h, w;
ull k;
ull q;
ull vua, vub, vuc, vud, vue, vuf;
sll vsa, vsb, vsc, vsd, vse, vsf;
long double vra, vrb, vrc;
double vda, vdb, vdc;
size_t slen;
size_t tlen;
char ch, dh;

void swap_adj (ull *a, ull *b) {
	if (*a != *b) {
		ull tmp = *b;
		*b = *a;
		*a = tmp;
	}
	return;
}

ull divide (ull a, ull b) {
	ull x = MOD - 2;
	ull ans = 1;
	while (x) {
		if (x & 1) ans = (ans * b) % MOD;
		b = (b * b) % MOD;
		x /= 2;
	}
	return (a * ans) % MOD;
}

int32_t digits (ull x) {
	int32_t i = 1;
	while (x >= 10) {
		x /= 10;
		i++;
	}
	return i;
}

ull umin (ull x, ull y) {
	return (x < y) ? x : y;
}

ull umax (ull x, ull y) {
	return (x > y) ? x : y;
}

sll smin (sll x, sll y) {
	return (x < y) ? x : y;
}

sll smax (sll x, sll y) {
	return (x > y) ? x : y;
}

ull gcd (ull x, ull y) {
	if (x < y) {
		return gcd(y, x);
	} else if (y == 0) {
		return x;
	} else {
		return gcd(y, x % y);
	}
}

ull bitpow (ull a, ull x, ull modulo) {
	ull result = 1;
	while (x) {
		if (x & 1) {
			result *= a;
			result %= modulo;
		}
		x /= 2;
		a = (a * a) % modulo;
	}
	return result;
}

int32_t targetdig (ull x, int32_t index /* 1-indexed */) {
	// static...?
	int32_t posmax = digits(x);
	if (posmax < index) return -1;
	while (posmax > index) {
		posmax--;
		x /= 10;
	}
	return x % 10;
}

int32_t charcomp (const char left, const char right) {
	if (left < right) {
		return -1;
	} else if (left > right) {
		return +1;
	} else {
		return 0;
	}
}

int32_t pcharcomp (const void *left, const void *right) {
	char lval = *(char*)left;
	char rval = *(char*)right;
	return charcomp(lval, rval);
}

int32_t intcomp (const int32_t left, const int32_t right) {
	if (left < right) {
		return -1;
	} else if (left > right) {
		return +1;
	} else {
		return 0;
	}
}

int32_t pintcomp (const void *left, const void *right) {
	int lval = *(int*)left;
	int rval = *(int*)right;
	return intcomp(lval, rval);
}

int32_t ullcomp (const ull left, const ull right) {
	if (left < right) {
		return -1;
	} else if (left > right) {
		return +1;
	} else {
		return 0;
	}
}

int32_t pullcomp (const void *left, const void *right) {
	ull lval = *(ull*)left;
	ull rval = *(ull*)right;
	return ullcomp(lval, rval);
}

int32_t pullrevcomp (const void *left, const void *right) {
	ull lval = *(ull*)left;
	ull rval = *(ull*)right;
	return -ullcomp(lval, rval);
}

int32_t sllcomp (const sll left, const sll right) {
	if (left < right) {
		return -1;
	} else if (left > right) {
		return +1;
	} else {
		return 0;
	}
}

int32_t psllcomp (const void *left, const void *right) {
	sll lval = *(sll*)left, rval = *(sll*)right;
	return ullcomp(lval, rval);
}

int32_t hwllfraccomp (const hwll left, const hwll right) {
	return ullcomp(left.a * right.b, left.b * right.a);
}

int32_t phwAcomp (const hw *left, const hw *right) {
	return intcomp(left->a, right->a);
}

int32_t phwBcomp (const hw *left, const hw *right) {
	return intcomp(left->b, right->b);
}

int32_t phwABcomp (const hw *left, const hw *right) {
	int32_t x = phwAcomp(left, right);
	if (x) return x;
	return phwBcomp(left, right);
}

int32_t phwllAcomp (const hwll *left, const hwll *right) {
	return sllcomp(left->a, right->a);
}

int32_t phwllBcomp (const hwll *left, const hwll *right) {
	return sllcomp(left->b, right->b);
}

int32_t phwllABcomp (const void *left, const void *right) {
	hwll lval = *(hwll*)left, rval = *(hwll*)right;
	int32_t x = sllcomp(lval.a, rval.a);
	if (x) return x;
	return sllcomp(lval.b, rval.b);
}

int32_t phwllrAcBcomp (const hwll *left, const hwll *right) {
	int32_t x = -phwllAcomp(left, right);
	if (x) return x;
	return phwllBcomp(left, right);
}

int32_t phwllBAcomp (const hwll *left, const hwll *right) {
	int32_t x = phwllBcomp(left, right);
	if (x) return x;
	return phwllAcomp(left, right);
}

int32_t pstrAcomp (const struct_a *left, const struct_a *right) {
	int32_t x;
	if (x = ullcomp(left->t, right->t)) return x;
	if (x = ullcomp(left->s, right->s)) return x;
	if (x = intcomp(left->c, right->c)) return x;
	return 0;
}

int32_t bitlet (char c) {
	return (1 << (c - 'a'));
}

ull ullabs (ull a, ull b) {
	if (a >= b) {
		return a - b;
	} else {
		return b - a;
	}
}

sll sllabs (sll a, sll b) {
	if (a >= b) {
		return a - b;
	} else {
		return b - a;
	}
}

sll nibutanlobo (bool (*func)(sll arg), sll ok, sll ng) {
	while (sllabs(ok, ng) > 1) {
		sll med = (ok + ng) / 2;
		if (func(med)) {
			ok = med;
		} else {
			ng = med;
		}

		// printf("debug: [%lld %lld)\n", ok, ng);
	}

	if (!func(ok)) return ok * 2 - ng;
	return ok;
}

bool nextrouteint (int32_t arr[], int32_t n) {
	int32_t i = n - 1;
	int32_t j, x;

	while (i > 0 && arr[i - 1] > arr[i]) i--;
	if (i == 0) return false;

	x = n;
	for (j = i; j < n; j++) {
		if (arr[j] < arr[i - 1]) continue;
		if (x == n || arr[x] > arr[j]) x = j;
	}
	arr[i - 1] ^= arr[x];
	arr[x] ^= arr[i - 1];
	arr[i - 1] ^= arr[x];

	qsort(&arr[i], n - i, sizeof(int32_t), pintcomp);
	return true;
}

bool nextrouteull (ull arr[], int32_t n) {
	int32_t i = n - 1;
	int32_t j, x;

	while (i > 0 && arr[i - 1] > arr[i]) i--;
	if (i == 0) return false;

	x = n;
	for (j = i; j < n; j++) {
		if (arr[j] < arr[i - 1]) continue;
		if (x == n || arr[x] > arr[j]) x = j;
	}
	arr[i - 1] ^= arr[x];
	arr[x] ^= arr[i - 1];
	arr[i - 1] ^= arr[x];

	qsort(&arr[i], n - i, sizeof(ull), pintcomp);
	return true;
}

void printUquotient (ull left, ull right) {
	const int32_t digits = 20;

	printf("%llu.", left / right);
	left %= right;
	for (int32_t i = 0; i < digits; i++) {
		left *= 10;
		printf("%1d", left / right);
		left %= right;
	}
	puts("");

	return;
}

void printSquotient (sll left, sll right) {
	if (left * right < 0) putchar('-');
	printUquotient(sllabs(left, 0), sllabs(right, 0));

	return;
}

int bitcount (ull n) {
	int result = 0;
	while (n) {
		if (n & 1) result++;
		n /= 2;
	}
	return result;
}

#ifdef __cplusplus

typedef struct {
	int32_t to;
	sll cost;
} edge;
typedef pair<sll, int32_t> P;

std::vector<edge> g[N_MAX];
void dijk_init (ull n, struct_b arr[]) {
	edge x;
	for (int32_t i = 0; i < n; i++) {
		x.to = arr[i].to;
		x.cost = arr[i].cost;
		g[arr[i].from].push_back(x);
	}
}

void dijk_distinit (int s, sll distance[], ull n) {
	for (int32_t i = 0; i < n; i++) {
		distance[i] = BIG;
	}
	distance[s] = 0;
	return;
}

bool dijkstra (int s, sll distance[]) {
	priority_queue<P, std::vector<P>, greater<P> > que; // (最短距離, 頂点番号)
	que.push(P(distance[s], s));

	bool ischanged = false;
	while (!que.empty()) {
		P p = que.top();
		que.pop();

		sll v = p.second;
		if (distance[v] < p.first) continue;

		int32_t maxsize = g[v].size();
		for (int32_t i = 0; i < maxsize; i++) {
			edge e = g[v][i];
			if (distance[e.to] > distance[v] + e.cost) {
				distance[e.to] = distance[v] + e.cost;
				ischanged = true;
				que.push(P(distance[e.to], e.to));
			}
		}
	}

	return ischanged;
}

#endif

sll dist[N_MAX];
struct_b path[M_MAX * 2];

ull a[N_MAX];
// sll a[N_MAX];
// ull a[N_MAX][N_MAX];
// sll a[N_MAX][N_MAX];
ull b[N_MAX];
// sll b[N_MAX];
ull c[N_MAX];
// char c[N_MAX];
// char s[N_MAX + 1];
// char s[N_MAX + 1][N_MAX + 1];
// char s[N_MAX + 1][M_MAX + 1];
// char t[N_MAX + 1];

ull alphabets[26];
// char alphabets[26];

// ull dp[N_MAX + 1];
// ull dp[N_MAX + 1][N_MAX + 1];
// bool dp[N_MAX + 1];
// bool dp[N_MAX + 1][N_MAX + 1];
hwll arr[N_MAX];

// typedef tuple<sll, int32_t, int32_t> P2d;

// ull dp[N_MAX + 1][N_MAX + 1];
bool waterdp[N_MAX];
bool sugardp[N_MAX];

double distance (sll x1, sll y1, sll x2, sll y2) {
	double xdist2, ydist2, origindist, dist;

	xdist2 = (x1 - x2) * (x1 - x2);
	ydist2 = (y1 - y2) * (y1 - y2);
	return sqrt(xdist2 + ydist2);
}

ull solve () {
	sll i, j, ki, l;
	ull result = 0;
	// sll result = 0;
	// double result = 0;
	ull maybe = 0;
	// sll maybe = 0;
	ull sum = 0;
	// sll sum = 0;
	ull item;
	ull *dpcell;
	// qsortの際には"p"ullcompを使う

	// slen = strlen(s);

	// for (i = 0; i <= slen; i++) {
	// 	for (j = 0; j <= slen; j++) {
	// 		dp[i][j] = BIG;
	// 	}
	// }
	// dp[0][0] = 0;
	// for (i = 1; i <= slen; i++) {
	// 	for (j = 0; j <= slen; j++) {
	// 		int natural = ((s[i - 1] == '(') ? +1 : -1);
	// 		if (0 <= j - natural && j - natural <= slen) {
	// 			dp[i][j] = umin(dp[i][j], dp[i - 1][j - natural]);
	// 		}
	// 		if (0 <= j + natural && j + natural <= slen) {
	// 			dp[i][j] = umin(dp[i][j], dp[i - 1][j + natural] + 1);
	// 		}

	// 		// printf("[%lld][%lld] %llu\n", i, j, dp[i][j]);
	// 	}
	// }

	waterdp[0] = true;
	for (i = vua; i <= vuf / 100; i++) {
		if ((i >= vua && waterdp[i - vua]) || (i >= vub && waterdp[i - vub])) {
			waterdp[i] = true;
		}
	}

	sugardp[0] = true;
	for (i = vuc; i <= vuf; i++) {
		if ((i >= vuc && sugardp[i - vuc]) || (i >= vud && sugardp[i - vud])) {
			sugardp[i] = true;
		}
	}

	ull maxw = vua, maxs = 0;

	for (i = vua; i <= vuf / 100; i++) {
		if (!waterdp[i]) continue;
		for (j = 0; j <= vuf - i * 100; j++) {
			if (j > vue * i) break;
			if (!sugardp[j]) continue;

			if (j * maxw > maxs * i) {
				maxw = i;
				maxs = j;
			}
		}
	}

	printf("%llu %llu\n", maxw * 100 + maxs, maxs);

	// printf("%llu\n", result);
	// printf("%.12lf\n", (double)result);
	// puts(s);

	return 0;

	success:
	puts("YES");
	// puts("Yes");
	// printf("%llu\n", result);
	// puts("0");
	// puts("Alice");
	return 0;

	fail:
	// puts("NO");
	// puts("No");
	// puts("0");
	puts("-1");
	// puts("-1 -1 -1");
	// puts("Eel");
	return 1;
}

int32_t main (void) {
	int32_t i, j;
	int32_t x, y;

	// scanf("%lf%lf", &vda, &vdb);
	// scanf("%lld%lld%lld%lld", &vsa, &vsb, &vsc, &vsd);
	// scanf("%llu%llu", &vua, &vub, &vuc, &vud);
	// scanf("%llu%llu", &h, &w);
	// scanf("%llu%llu", &n, &m);
	// scanf("%*llu");
	// scanf("%llu", &k, &m, &n);
	scanf("%llu%llu%llu%llu%llu%llu", &vua, &vub, &vuc, &vud, &vue, &vuf);
	// scanf("%lld", &vsa, &vsb, &vsc);
	// scanf("%s", s);
	// scanf("%s", t);
	// scanf("%llu", &k);
	// for (i = 0; i < n; i++) {
	// 	scanf("%lld", &a[i]);
	// 	a[i]--;
	// }
	// for (i = 0; i < m; i++) {
	// 	scanf("%llu", &b[i]);
	// }
	// for (i = 0; i < n; i++) {
	// 	scanf("%s", s[i]);
	// }
	// scanf("%s", t);
	// for (i = 0; i < m; i++) {
	// 	// scanf("%llu", &c[i]);
	// 	scanf("%llu", &arr[i].a);
	// 	scanf("%llu", &arr[i].b);
	// 	arr[i].a--;
	// 	arr[i].b--;
	// }
	// for (i = 0; i < n; i++) {
	// 	for (j = 0; j < n; j++) {
	// 		scanf("%llu", &a[i][j]);
	// 	}
	// }
	// for (i = 0; i < n; i++) {
	// 	scanf("%llu%llu%llu", &a[i], &b[i], &c[i]);
	// }

	// scanf("%llu", &q);
	// for (i = 0; i < q; i++) {
	// 	// scanf("%s%s", s, t);
	// 	// solve();
	// }

	// for (i = 0; i < m; i++) {
	// 	scanf("%llu%llu", &arr[i].a, &arr[i].b);
	// 	arr[i].a--;
	// 	arr[i].b--;
	// }
	// for (i = 0; i < n; i++) {
	// 	for (j = 0; j < m; j++) {
	// 		scanf("%llu", &a[i][j]);
	// 		a[i][j]--;
	// 	}
	// }

	solve();

	// for (i = 0; i < m; i++) {
	// 	scanf("%llu%llu%llu", &vua, &vub, &vuc);
	// 	// scanf("%s%s", s, t);
	// 	// scanf("%f%f%f", &vda, &vdb, &vdc);
	// 	// scanf("%s", s);
	// 	solve();
	// }

	// while (scanf("%llu%llu", &n, &k), n + k) {
	// 	for (i = 0; i < n; i++) {
	// 		scanf("%llu", &a[i]);
	// 	}
	// 	solve();
	// }

	return 0;
}