/***Farhan132***/
//#pragma GCC optimize("Ofast,fast-math")
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2,fma")
//#pragma GCC optimization ("unroll-loops")
#include <bits/stdc++.h>
using namespace std;
typedef int ll;
typedef unsigned long long ull;
typedef double dd;
typedef vector<ll> vll;
typedef pair<ll , ll> ii;
typedef vector< ii > vii;
typedef pair < pair < ll , ll > , pair < ll , ll > > cm;
typedef tuple < ll, ll, ll > tp;
#define ff first
#define ss second
#define pb push_back
#define in insert
#define f0(b) for(int i=0;i<(b);i++)
#define f00(b) for(int j=0;j<(b);j++)
#define f1(b) for(int i=1;i<=(b);i++)
#define f11(b) for(int j=1;j<=(b);j++)
#define f2(a,b) for(int i=(a);i<=(b);i++)
#define f22(a,b) for(int j=(a);j<=(b);j++)
#define sf(a) scanf("%lld",&a)
#define sff(a,b) scanf("%lld %lld", &a , &b)
#define pf(a) printf("%lld\n",a)
#define pff(a,b) printf("%lld %lld\n", a , b)
#define bug printf("**!\n")
#define mem(a , b) memset(a, b ,sizeof(a))
#define front_zero(n) __builtin_clzll(n)
#define back_zero(n) __builtin_ctzll(n)
#define total_one(n) __builtin_popcount(n)
#define clean fflush(stdout)
//const ll mod = (ll) 998244353;
const ll mod = (ll) 1e9 + 7;
const ll maxn = (ll)1e8 + 5;
const int nnn = 1048590;
const int inf = numeric_limits<int>::max()-1;
//const int inf = 1e9 + 9;
//const ll INF = numeric_limits<ll>::max()-1;
const ll INF = (ll)1e18;
ll dx[]={0,1,0,-1};
ll dy[]={1,0,-1,0};
ll dxx[]={0,1,0,-1,1,1,-1,-1};
ll dyy[]={1,0,-1,0,1,-1,1,-1};
bool USACO = 0;
mt19937 rng(chrono::system_clock::now().time_since_epoch().count());
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
template <typename T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
const ll N = 20005;
ll a[N];
struct seg_tree{
struct typo{
ll mn = 0;
void setup(ll _sum){
mn = _sum;
}
};
vector < typo > b;
ll n;
void init(ll l, ll r, ll node){
b[node].setup(a[l]);
return;
}
typo merge(typo a, typo b){
typo c;
c.mn = min(a.mn, b.mn);
return c;
}
void build(ll l, ll r, ll node){
if(l == r){
init(l,r,node);
return;
}
ll mid = (l + r)/2;
ll n1 = 2*node;
ll n2 = n1 + 1;
build(l, mid , n1);
build(mid+1, r, n2);
b[node] = merge(b[n1] , b[n2]);
return;
}
void build(ll _n){
n = _n;
b.resize(4*n);
build(1,n,1); // optional
}
typo get(ll l, ll r, ll node, ll x, ll y){
if(y < l || x > r) return {inf};
if(x <= l && y >= r){
return b[node];
}
ll mid = (l + r)/2;
ll n1 = 2*node;
ll n2 = n1 + 1;
return merge(get(l , mid , n1 , x , y) , get(mid + 1, r , n2 , x , y));
}
ll get(ll l, ll r){
return get(1,n,1,l,r).mn;
}
/* Final Check!!!
1. Typo, Okay?
2. Init Okay? (Build!!)
3. Merge, Okay?
4. Lazy Needed ? YES | NO (if NO, REMOVE anything related to lazy prop)
5. Dummy?
6. Check Update, Get, etc function's Merge, Lazy Prop , Init :D
7, Even after a WA, check for possible Out Of Bound/MLE/RE cases
*/
};
vector < ll > v[55];
ll dp[N][55];
ll sum[N];
void solve(){
ll T, n, s;
cin >> n >> T >> s;
mem(sum, 0);
for(ll i = 1; i <= T; i++){
cin >> sum[i];
sum[i] += sum[i - 1];
}
sum[T+1] += sum[T];
for(ll i = 1; i <= n; i++){
for(ll j = 1; j <= T; j++){
char x; cin >> x;
if(x == '0') v[i].pb(j);
}
}
mem(dp, 0);
for(ll i = 1; i <= s; i++) dp[T+1][i] = inf;
for(ll i = 1; i <= T; i++) dp[i][0] = inf;
for(ll j = 1; j <= s; j++){
seg_tree DS[n+1];
for(ll x = 0; x <= n; x++){
for(ll i = 1; i <= T; i++){
if(dp[i+1][j-1] == inf){
a[i] = inf; continue;
}
a[i] = sum[i] * x + dp[i+1][j-1];
}
DS[x].build(T);
}
for(ll i = T; i >= 1; i--){
vector < ll > nxt;
for(ll x = 1; x <= n; x++){
auto it = lower_bound(v[x].begin(), v[x].end(), i);
if(it != v[x].end()) nxt.pb(*it);
}
ll tot = n + 1; nxt.pb(i);
sort(nxt.begin(), nxt.end());
ll cur = i, _i = 0;
dp[i][j] = inf;
while(_i < nxt.size()){
while(_i < nxt.size() && nxt[_i] == cur) _i++, tot--;
ll l = cur;
if(_i < nxt.size()) cur = nxt[_i];
else cur = T + 1;
ll r = cur - 1; ll kk = DS[tot].get(l, r);
if(kk == inf) continue;
dp[i][j] = min(dp[i][j], -sum[i - 1]*tot + kk);
}
//dp[i][j] = min(dp[T+1][j - 1] + tot*(sum[T] - sum[i - 1]), dp[i][j]);
}
}
for(ll i = 1; i <= s; i++){
cout << dp[1][i] << '\n';
}
return;
}
int main() {
#ifdef LOCAL
freopen("in", "r", stdin);
freopen("out", "w", stdout);
auto start_time = clock();
#else
ios_base::sync_with_stdio(0); cin.tie(NULL); cout.tie(NULL);
#endif
ll T = 1, CT = 0;// cin >> T;
while(T--){
solve();
}
#ifdef LOCAL
auto end_time = clock();
cerr<< "Execution time: "<<(end_time - start_time)*(int)1e3/CLOCKS_PER_SEC<<" ms\n";
#endif
return 0;
}
Compilation message
popeala.cpp: In function 'void solve()':
popeala.cpp:189:22: warning: comparison of integer expressions of different signedness: 'll' {aka 'int'} and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
189 | while(_i < nxt.size()){
| ~~~^~~~~~~~~~~~
popeala.cpp:190:26: warning: comparison of integer expressions of different signedness: 'll' {aka 'int'} and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
190 | while(_i < nxt.size() && nxt[_i] == cur) _i++, tot--;
| ~~~^~~~~~~~~~~~
popeala.cpp:193:23: warning: comparison of integer expressions of different signedness: 'll' {aka 'int'} and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
193 | if(_i < nxt.size()) cur = nxt[_i];
| ~~~^~~~~~~~~~~~
popeala.cpp: In function 'int main()':
popeala.cpp:219:15: warning: unused variable 'CT' [-Wunused-variable]
219 | ll T = 1, CT = 0;// cin >> T;
| ^~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
4692 KB |
Output is correct |
| 2 |
Correct |
4 ms |
4732 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
132 ms |
5108 KB |
Output is correct |
| 2 |
Correct |
113 ms |
5088 KB |
Output is correct |
| 3 |
Correct |
117 ms |
5076 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
674 ms |
6484 KB |
Output is correct |
| 2 |
Correct |
1026 ms |
7284 KB |
Output is correct |
| 3 |
Correct |
1265 ms |
7988 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
4692 KB |
Output is correct |
| 2 |
Correct |
4 ms |
4732 KB |
Output is correct |
| 3 |
Correct |
132 ms |
5108 KB |
Output is correct |
| 4 |
Correct |
113 ms |
5088 KB |
Output is correct |
| 5 |
Correct |
117 ms |
5076 KB |
Output is correct |
| 6 |
Correct |
674 ms |
6484 KB |
Output is correct |
| 7 |
Correct |
1026 ms |
7284 KB |
Output is correct |
| 8 |
Correct |
1265 ms |
7988 KB |
Output is correct |
| 9 |
Execution timed out |
2032 ms |
10180 KB |
Time limit exceeded |
| 10 |
Halted |
0 ms |
0 KB |
- |
