| # |
Submission time |
Handle |
Problem |
Language |
Result |
Execution time |
Memory |
| 239747 |
2020-06-17T08:42:14 Z |
b00n0rp |
Lamps (JOI19_lamps) |
C++17 |
|
250 ms |
73240 KB |
// --------------------------------------------------<TEMPLATE>--------------------------------------------------
// --------------------<optimizations>--------------------
#pragma GCC optimize("O3")
//(UNCOMMENT WHEN HAVING LOTS OF RECURSIONS)\
#pragma comment(linker, "/stack:200000000")
//(UNCOMMENT WHEN NEEDED)\
#pragma GCC optimize("Ofast,unroll-loops,no-stack-protector,fast-math")\
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
// -------------------</optimizations>--------------------
// ---------------<Headers and namespaces>----------------
#include <algorithm>
#include <bitset>
#include <cassert>
#include <chrono>
#include <cmath>
#include <complex>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <ctime>
#include <deque>
#include <functional>
#include <iomanip>
#include <iostream>
#include <iterator>
#include <limits>
#include <list>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <ratio>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
using namespace std;
/*
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/rope>
using namespace __gnu_pbds;
using namespace __gnu_cxx;
*/
// ---------------</Headers and namespaces>---------------
// -----------------<Defines and typedefs>----------------
// typedef tree<int,null_type,less<int>,rb_tree_tag, \
tree_order_statistics_node_update> indexed_set; // use less_equal for multiset
// order_of_key (val): returns the no. of values less than val
// find_by_order (k): returns the iterator to kth largest element.(0-based)
typedef long double LD;
typedef long long ll;
#define int ll
#define pb push_back
#define mp make_pair
#define REP(i,n) for (int i = 0; i < n; i++)
#define FOR(i,a,b) for (int i = a; i < b; i++)
#define REPD(i,n) for (int i = n-1; i >= 0; i--)
#define FORD(i,a,b) for (int i = a; i >= b; i--)
#define remax(a,b) a = max(a,b)
#define remin(a,b) a = min(a,b)
#define all(v) v.begin(),v.end()
typedef map<int, int> mii;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef pair<int, int> pii;
typedef vector<pii> vpii;
#define F first
#define S second
#define PQ(type) priority_queue<type>
#define PQD(type) priority_queue<type,vector<type>,greater<type> >
#define ITR :: iterator it
#define WL(t) while(t --)
#define SZ(x) ((int)(x).size())
#define runtime() ((double)clock() / CLOCKS_PER_SEC)
#define TR(container,it) for(typeof(container.begin()) it=container.begin();it!=container.end();it++)
#define sqr(x) ((x)*(x))
#define inrange(i,a,b) ((i>=min(a,b)) && (i<=max(a,b)))
// -----<SCANF>-----
#define sfi(x) scanf("%d",&x);
#define sfi2(x,y) scanf("%d%d",&x,&y);
#define sfi3(x,y,z) scanf("%d%d%d",&x,&y,&z);
#define sfl(x) scanf("%lld",&x);
#define sfl2(x,y) scanf("%lld%lld",&x,&y);
#define sfl3(x,y,z) scanf("%lld%lld%lld",&x,&y,&z);
#define sfl4(x,y,z,x1) scanf("%lld%lld%lld%lld",&x,&y,&z,&x1);
#define sfl5(x,y,z,x1,y1) scanf("%lld%lld%lld%lld%lld",&x,&y,&z,&x1,&y1);
#define sfl6(x,y,z,x1,y1,z1) scanf("%lld%lld%lld%lld%lld%lld",&x,&y,&z,&x1,&y1,&z1);
#define sfs(x) scanf("%s",x);
#define sfs2(x,y) scanf("%s%s",x,y);
#define sfs3(x,y,z) scanf("%s%s%s",x,y,z);
// ----</SCANF>-----
// ----<PRINTF>-----
#define pfi(x) printf("%d\n",x);
#define pfi2(x,y) printf("%d %d\n",x,y);
#define pfi3(x,y,z) printf("%d %d %d\n",x,y,z);
#define pfl(x) printf("%lld\n",x);
#define pfl2(x,y) printf("%lld %lld\n",x,y);
#define pfl3(x,y,z) printf("%lld %lld %lld\n",x,y,z);
#define pfs(x) printf("%s\n",x);
#define pfs2(x,y) printf("%s %s\n",x,y);
#define pfs3(x,y,z) printf("%s %s %s\n",x,y,z);
#define pwe(x) printf("%lld ",x); // print without end
// ----</PRINTF>----
#define FLSH fflush(stdout)
#define fileIO(name) \
freopen(name".in", "r", stdin); \
freopen(name".out", "w", stdout);
#define PRECISION(x) cout << fixed << setprecision(x);
#define FAST_IO ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
// ----------------</Defines and typedefs>----------------
// -------------------<Debugging stuff>-------------------
#define TRACE
#ifdef TRACE
#define trace(...) __f(#__VA_ARGS__, __VA_ARGS__)
template <typename Arg1>
void __f(const char* name, Arg1&& arg1) {
cerr << name << " : " << arg1 << std::endl;
}
template <typename Arg1, typename... Args>
void __f(const char* names, Arg1&& arg1, Args&&... args) {
const char* comma = strchr(names + 1, ','); cerr.write(names, comma - names) << " : " << arg1 << " | "; __f(comma + 1, args...);
}
#else
#define trace(...)
#endif
// ------------------</Debugging stuff>-------------------
// ------------------------<Consts>-----------------------
const int MAXN = 1000005;
const int SQRTN = 1003;
const int LOGN = 22;
const double PI = acos(-1);
#ifdef int
const int INF = 1e16;
#else
const int INF = 1e9;
#endif
const int MOD = 1000000007;
const int FMOD = 998244353;
const double eps = 1e-9;
// -----------------------</Consts>-----------------------
// -------------------------<RNG>-------------------------
mt19937 RNG(chrono::steady_clock::now().time_since_epoch().count());
#define SHUF(v) shuffle(all(v), RNG);
// Use mt19937_64 for 64 bit random numbers.
// ------------------------</RNG>-------------------------
// ----------------------<MATH>---------------------------
template<typename T> T gcd(T a, T b) { return(b ? __gcd(a, b) : a); }
template<typename T> T lcm(T a, T b) { return(a * (b / gcd(a, b))); }
int add(int a, int b, int c = MOD) { int res = a + b; return(res >= c ? res - c : res); }
int mod_neg(int a, int b, int c = MOD) { int res; if (abs(a - b) < c)res = a - b; else res = (a - b) % c; return(res < 0 ? res + c : res); }
int mul(int a, int b, int c = MOD) { ll res = (ll)a * b; return(res >= c ? res % c : res); }
int muln(int a, int b, int c = MOD) { ll res = (ll)a * b; return ((res % c) + c) % c; }
ll mulmod(ll a, ll b, ll m = MOD) { ll q = (ll)(((LD)a * (LD)b) / (LD)m); ll r = a * b - q * m; if (r > m)r %= m; if (r < 0)r += m; return r; }
template<typename T>T expo(T e, T n) { T x = 1, p = e; while (n) { if (n & 1)x = x * p; p = p * p; n >>= 1; }return x; }
template<typename T>T power(T e, T n, T m = MOD) { T x = 1, p = e; while (n) { if (n & 1)x = mul(x, p, m); p = mul(p, p, m); n >>= 1; }return x; }
template<typename T>T extended_euclid(T a, T b, T& x, T& y) {
T xx = 0, yy = 1; y = 0; x = 1; while (b) {
T q = a / b, t = b; b = a % b; a = t; \
t = xx; xx = x - q * xx; x = t; t = yy; yy = y - q * yy; y = t;
}return a;
}
template<typename T>T mod_inverse(T a, T n = MOD) { T x, y, z = 0; T d = extended_euclid(a, n, x, y); return(d > 1 ? -1 : mod_neg(x, z, n)); }
const int FACSZ = 1; // Make sure to change this
int fact[FACSZ], ifact[FACSZ];
void precom(int c = MOD) {
fact[0] = 1;
FOR(i, 1, FACSZ) fact[i] = mul(fact[i - 1], i, c);
ifact[FACSZ - 1] = mod_inverse(fact[FACSZ - 1], c);
REPD(i, FACSZ - 1) {
ifact[i] = mul(i + 1, ifact[i + 1], c);
}
}
int ncr(int n, int r, int c = MOD) {
return mul(mul(ifact[r], ifact[n - r], c), fact[n], c);
}
// ----------------------</MATH>--------------------------
// --------------------------------------------------</TEMPLATE>--------------------------------------------------
void solvethetestcase();
signed main() {
// (UNCOMMENT FOR CIN/COUT) \
FAST_IO
PRECISION(10)
int t = 1;
// (UNCOMMENT FOR MULTIPLE TEST CASES) \
sfl(t);
FOR(testcase, 1, t + 1) {
// (UNCOMMENT FOR CODEJAM) \
printf("Case #%lld: ",testcase);
solvethetestcase();
}
}
int n;
bitset<1000005> a,b;
int pref[1000005];
int dp[1000005][2]; // index, flip before or not
struct block{
int type;
// type1: same as reqd
// type2: opp as reqd
// type3: possible changes at left and right sides(l,r = 0/1) and m subblocks of changes in the middle
int l,m,r;
block(){
l = m = r = 0;
}
};
vector<block> v;
void solvethetestcase() {
cin >> n;
pref[0] = 0;
FOR(i,1,n+1){
char c; cin >> c;
a[i] = c-'0';
pref[i] = pref[i-1]+a[i];
}
block fake;
v.pb(fake);
int l = 1;
vpii gg;
FOR(i,1,n+1){
char c; cin >> c;
b[i] = c-'0';
if(b[i] != b[l]){
gg.pb({l,i-1});
l = i;
}
}
gg.pb({l,n});
for(auto x:gg){
block lol;
int col = b[x.F];
if(pref[x.S]-pref[x.F-1] == col*(x.S-x.F+1)) lol.type = 1;
else if(pref[x.S]-pref[x.F-1] == (1-col)*(x.S-x.F+1)) lol.type = 2;
else{
lol.type = 3;
if(a[x.F] != col) lol.l = 1;
if(a[x.S] != col) lol.r = 1;
int ggl = x.F,ggr = x.S;
while(a[ggl] != col) ggl++;
while(a[ggr] != col) ggr--;
FOR(i,ggl,ggr+1){
if(a[i] == 1-col and a[i-1] == col) lol.m++;
}
}
v.pb(lol);
}
dp[0][0] = 0;
dp[0][1] = 0;
FOR(i,1,v.size()){
// either we 1) rescue this block or 2) stay this way itself or we 3) flip the whole thing
int l = v[i].l,r = v[i].r,m = v[i].m;
if(v[i].type == 1){
// rescue = stay
dp[i][0] = max(1+dp[i-1][0],-1+dp[i-1][1]); // rescue,flip
dp[i][1] = max(1+dp[i-1][0],dp[i-1][1]); // rescue,flip
}
else if(v[i].type == 2){
// rescue = flip
dp[i][0] = max(dp[i-1][0],dp[i-1][1]); // stay,rescue
dp[i][1] = max(dp[i-1][0],1+dp[i-1][1]); //stay,rescue
}
else{
dp[i][0] = max(max(1-(l+r+m)+dp[i-1][l],-1+dp[i-1][1]),dp[i-1][0]); // rescue,flip,stay
dp[i][1] = max(max(1-(l+m)+dp[i-1][l],dp[i-1][1]),dp[i-1][0]);
}
}
pfl(v.size()-1-dp[v.size()-1][0])
}
Compilation message
lamp.cpp:4:1: warning: multi-line comment [-Wcomment]
//(UNCOMMENT WHEN HAVING LOTS OF RECURSIONS)\
^
lamp.cpp:6:1: warning: multi-line comment [-Wcomment]
//(UNCOMMENT WHEN NEEDED)\
^
lamp.cpp:54:1: warning: multi-line comment [-Wcomment]
// typedef tree<int,null_type,less<int>,rb_tree_tag, \
^
lamp.cpp:209:2: warning: multi-line comment [-Wcomment]
// (UNCOMMENT FOR CIN/COUT) \
^
lamp.cpp:214:2: warning: multi-line comment [-Wcomment]
// (UNCOMMENT FOR MULTIPLE TEST CASES) \
^
lamp.cpp:217:3: warning: multi-line comment [-Wcomment]
// (UNCOMMENT FOR CODEJAM) \
^
lamp.cpp: In function 'void solvethetestcase()':
lamp.cpp:65:38: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
#define FOR(i,a,b) for (int i = a; i < b; i++)
lamp.cpp:283:6:
FOR(i,1,v.size()){
~~~~~~~~~~~~
lamp.cpp:283:2: note: in expansion of macro 'FOR'
FOR(i,1,v.size()){
^~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
4 ms |
384 KB |
Output is correct |
| 2 |
Correct |
5 ms |
384 KB |
Output is correct |
| 3 |
Correct |
4 ms |
384 KB |
Output is correct |
| 4 |
Correct |
5 ms |
512 KB |
Output is correct |
| 5 |
Correct |
5 ms |
384 KB |
Output is correct |
| 6 |
Correct |
5 ms |
384 KB |
Output is correct |
| 7 |
Correct |
4 ms |
384 KB |
Output is correct |
| 8 |
Correct |
5 ms |
384 KB |
Output is correct |
| 9 |
Correct |
4 ms |
384 KB |
Output is correct |
| 10 |
Correct |
5 ms |
384 KB |
Output is correct |
| 11 |
Correct |
5 ms |
384 KB |
Output is correct |
| 12 |
Correct |
5 ms |
384 KB |
Output is correct |
| 13 |
Correct |
5 ms |
384 KB |
Output is correct |
| 14 |
Correct |
4 ms |
384 KB |
Output is correct |
| 15 |
Correct |
5 ms |
384 KB |
Output is correct |
| 16 |
Incorrect |
4 ms |
384 KB |
Output isn't correct |
| 17 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
4 ms |
384 KB |
Output is correct |
| 2 |
Correct |
5 ms |
384 KB |
Output is correct |
| 3 |
Correct |
4 ms |
384 KB |
Output is correct |
| 4 |
Correct |
5 ms |
512 KB |
Output is correct |
| 5 |
Correct |
5 ms |
384 KB |
Output is correct |
| 6 |
Correct |
5 ms |
384 KB |
Output is correct |
| 7 |
Correct |
4 ms |
384 KB |
Output is correct |
| 8 |
Correct |
5 ms |
384 KB |
Output is correct |
| 9 |
Correct |
4 ms |
384 KB |
Output is correct |
| 10 |
Correct |
5 ms |
384 KB |
Output is correct |
| 11 |
Correct |
5 ms |
384 KB |
Output is correct |
| 12 |
Correct |
5 ms |
384 KB |
Output is correct |
| 13 |
Correct |
5 ms |
384 KB |
Output is correct |
| 14 |
Correct |
4 ms |
384 KB |
Output is correct |
| 15 |
Correct |
5 ms |
384 KB |
Output is correct |
| 16 |
Incorrect |
4 ms |
384 KB |
Output isn't correct |
| 17 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
5 ms |
384 KB |
Output is correct |
| 2 |
Correct |
5 ms |
384 KB |
Output is correct |
| 3 |
Correct |
5 ms |
384 KB |
Output is correct |
| 4 |
Correct |
5 ms |
384 KB |
Output is correct |
| 5 |
Correct |
5 ms |
384 KB |
Output is correct |
| 6 |
Correct |
4 ms |
384 KB |
Output is correct |
| 7 |
Correct |
169 ms |
10612 KB |
Output is correct |
| 8 |
Correct |
246 ms |
73112 KB |
Output is correct |
| 9 |
Correct |
250 ms |
73240 KB |
Output is correct |
| 10 |
Correct |
247 ms |
73240 KB |
Output is correct |
| 11 |
Correct |
247 ms |
73112 KB |
Output is correct |
| 12 |
Correct |
169 ms |
10360 KB |
Output is correct |
| 13 |
Correct |
169 ms |
10488 KB |
Output is correct |
| 14 |
Correct |
172 ms |
12016 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
4 ms |
384 KB |
Output is correct |
| 2 |
Correct |
5 ms |
384 KB |
Output is correct |
| 3 |
Correct |
4 ms |
384 KB |
Output is correct |
| 4 |
Correct |
5 ms |
512 KB |
Output is correct |
| 5 |
Correct |
5 ms |
384 KB |
Output is correct |
| 6 |
Correct |
5 ms |
384 KB |
Output is correct |
| 7 |
Correct |
4 ms |
384 KB |
Output is correct |
| 8 |
Correct |
5 ms |
384 KB |
Output is correct |
| 9 |
Correct |
4 ms |
384 KB |
Output is correct |
| 10 |
Correct |
5 ms |
384 KB |
Output is correct |
| 11 |
Correct |
5 ms |
384 KB |
Output is correct |
| 12 |
Correct |
5 ms |
384 KB |
Output is correct |
| 13 |
Correct |
5 ms |
384 KB |
Output is correct |
| 14 |
Correct |
4 ms |
384 KB |
Output is correct |
| 15 |
Correct |
5 ms |
384 KB |
Output is correct |
| 16 |
Incorrect |
4 ms |
384 KB |
Output isn't correct |
| 17 |
Halted |
0 ms |
0 KB |
- |
