This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//clever
#pragma GCC optimize ("O3")
#pragma GCC target ("sse4")
#include <bits/stdc++.h>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/rope>
using namespace std;
using namespace __gnu_pbds;
using namespace __gnu_cxx;
random_device(rd);
mt19937 rng(rd());
const long long FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
struct custom_hash
{
template<class T>
unsigned long long operator()(T v) const
{
unsigned long long x = v;
x += FIXED_RANDOM;
// x += 11400714819323198485ull;
// x = (x ^ (x >> 30)) * 13787848793156543929ull;
x = (x ^ (x >> 27)) * 10723151780598845931ull;
return x ^ (x >> 31);
}
};
template<class T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
template<class T, class U> using hash_table = gp_hash_table<T, U, custom_hash>;
template<class T>
T randomize(T mod)
{
return (uniform_int_distribution<T>(0, mod - 1))(rng);
}
template<class T>
void readi(T &x)
{
x = 0;
bool negative = false;
char c = ' ';
while (c < '-')
{
c = getchar();
}
if (c == '-')
{
negative = true;
c = getchar();
}
while (c >= '0')
{
x = x * 10 + (c - '0');
c = getchar();
}
if (negative)
{
x = -x;
}
}
template<class T>
void printi(T output)
{
if (output == 0)
{
putchar('0');
return;
}
if (output < 0)
{
putchar('-');
output = -output;
}
int buf[20], n = 0;
while(output)
{
buf[n] = ((output % 10));
output /= 10;
n++;
}
for (n--; n >= 0; n--)
{
putchar(buf[n] + '0');
}
return;
}
template<class T>
void ckmin(T &a, T b)
{
a = min(a, b);
}
template<class T>
void ckmax(T &a, T b)
{
a = max(a, b);
}
long long expo(long long a, long long e, long long mod)
{
return ((e == 0) ? 1 : ((expo(a * a % mod, e >> 1, mod)) * ((e & 1) ? a : 1) % mod));
}
template<class T, class U>
void nmod(T &x, U mod)
{
if (x >= mod) x -= mod;
}
template<class T>
T gcd(T a, T b)
{
return (b ? gcd(b, a % b) : a);
}
#define y0 ___y0
#define y1 ___y1
#define MP make_pair
#define PB push_back
#define LB lower_bound
#define UB upper_bound
#define fi first
#define se second
#define DBG(x) cerr << #x << " = " << (x) << endl
#define SZ(x) ((int) ((x).size()))
#define FOR(i, a, b) for (auto i = (a); i < (b); i++)
#define FORD(i, a, b) for (auto i = (a) - 1; i >= (b); i--)
#define ALL(x) (x).begin(), (x).end()
const long double PI = 4.0 * atan(1.0);
const long double EPS = 1e-9;
#define MAGIC 347
#define SINF 10007
#define CO 1000007
#define INF 1000000007
#define BIG 1000000931
#define LARGE 1696969696967ll
#define GIANT 2564008813937411ll
#define LLINF 2696969696969696969ll
#define MAXN 513
typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef pair<ld, ld> pdd;
typedef vector<int> vi;
typedef vector<ll> vl;
typedef vector<ld> vd;
typedef vector<pii> vpi;
typedef vector<pll> vpl;
typedef vector<pdd> vpd;
typedef pair<ll, pii> plp;
int H, W, N;
ll A, B, C;
pii coor[100013];
ll dp[MAXN][MAXN];
ll clo[MAXN][MAXN];
int dx[4] = {-1, 0, 1, 0}, dy[4] = {0, -1, 0, 1};
priority_queue<plp, vector<plp>, greater<plp> > pq;
bool valid(int x, int y)
{
return (0 <= x && x < H && 0 <= y && y < W);
}
int32_t main()
{
ios_base::sync_with_stdio(0); cin.tie(0);
// cout << fixed << setprecision(10);
// cerr << fixed << setprecision(10);
// if (fopen("file.in", "r"))
// {
// freopen ("file.in", "r", stdin);
// freopen ("file.out", "w", stdout);
// }
cin >> H >> W >> A >> B >> C >> N; H++; W++;
FOR(i, 0, N)
{
cin >> coor[i].fi >> coor[i].se;
}
if (C <= A)
{
cout << 1ll * (abs(coor[0].fi - coor[N - 1].fi) + abs(coor[0].se - coor[N - 1].se)) * C << '\n';
return 0;
}
FOR(i, 0, H)
{
FOR(j, 0, W)
{
dp[i][j] = LLINF;
clo[i][j] = LLINF;
}
}
queue<plp> q;
FOR(i, 0, N)
{
clo[coor[i].fi][coor[i].se] = 0;
q.push({0ll, coor[i]});
}
while(!q.empty())
{
ll d = q.front().fi; int x = q.front().se.fi, y = q.front().se.se;
// cerr << d << ' ' << x << ' ' << y << endl;
q.pop();
if (d != clo[x][y]) continue;
FOR(k, 0, 4)
{
if (valid(x + dx[k], y + dy[k]) && d + 1 < clo[x + dx[k]][y + dy[k]])
{
clo[x + dx[k]][y + dy[k]] = d + 1;
q.push({d + 1, {x + dx[k], y + dy[k]}});
}
}
}
// FOR(i, 0, H)
// {
// FOR(j, 0, W)
// {
// cerr << clo[i][j] << ' ';
// }
// cerr << endl;
// }
dp[coor[0].fi][coor[0].se] = 0;
pq.push({0, coor[0]});
while(!pq.empty())
{
ll d = pq.top().fi; int x = pq.top().se.fi, y = pq.top().se.se;
// cerr << d << ' ' << x << ' ' << y << endl;
pq.pop();
if (d != dp[x][y]) continue;
FOR(j, 0, W)
{
ll nd = d + min(A * abs(y - j) + B + clo[x][j] * C, C * abs(y - j));
if (nd < dp[x][j])
{
dp[x][j] = nd;
pq.push({nd, {x, j}});
}
}
FOR(i, 0, H)
{
ll nd = d + min(A * abs(x - i) + B + clo[i][y] * C, C * abs(x - i));
if (nd < dp[i][y])
{
dp[i][y] = nd;
pq.push({nd, {i, y}});
}
}
}
cout << dp[coor[N - 1].fi][coor[N - 1].se] << '\n';
//dp[x][y] is minimum cost to get to (x, y) with a ball!
// cerr << "time elapsed = " << (clock() / (CLOCKS_PER_SEC / 1000)) << " ms" << endl;
return 0;
}
/* READ READ READ
* int overflow, maxn too small, special cases (n=1?, two distinct?), cin.tie() interactive
* reread the problem, try small cases
* note down possible sources of error as you go
* do smth instead of nothing
*/
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