Submission #261451

#TimeUsernameProblemLanguageResultExecution timeMemory
261451rqiStreet Lamps (APIO19_street_lamps)C++14
100 / 100
3924 ms102748 KiB
#include <bits/stdc++.h>
using namespace std;
 
typedef long long ll;
typedef long double ld;
typedef double db; 
typedef string str; 
 
typedef pair<int,int> pi;
typedef pair<ll,ll> pl; 
typedef pair<db,db> pd; 
 
typedef vector<int> vi; 
typedef vector<ll> vl; 
typedef vector<db> vd; 
typedef vector<str> vs; 
typedef vector<pi> vpi;
typedef vector<pl> vpl; 
typedef vector<pd> vpd; 
 
#define mp make_pair
#define f first
#define s second
#define sz(x) (int)(x).size()
#define all(x) begin(x), end(x)
#define rall(x) (x).rbegin(), (x).rend() 
#define rsz resize
#define ins insert 
#define ft front() 
#define bk back()
#define pf push_front 
#define pb push_back
#define eb emplace_back 
#define lb lower_bound 
#define ub upper_bound 
 
#define FOR(i,a,b) for (int i = (a); i < (b); ++i)
#define F0R(i,a) FOR(i,0,a)
#define ROF(i,a,b) for (int i = (b)-1; i >= (a); --i)
#define R0F(i,a) ROF(i,0,a)
#define trav(a,x) for (auto& a: x)
 
const int MOD = 1e9+7; // 998244353;
const int MX = 2e5+5; 
const ll INF = 1e18; 
const ld PI = acos((ld)-1);
const int xd[4] = {1,0,-1,0}, yd[4] = {0,1,0,-1}; 
mt19937 rng((uint32_t)chrono::steady_clock::now().time_since_epoch().count()); 
 
template<class T> bool ckmin(T& a, const T& b) { 
    return b < a ? a = b, 1 : 0; }
template<class T> bool ckmax(T& a, const T& b) { 
    return a < b ? a = b, 1 : 0; } 
constexpr int pct(int x) { return __builtin_popcount(x); } 
constexpr int bits(int x) { return 31-__builtin_clz(x); } // floor(log2(x)) 
ll cdiv(ll a, ll b) { return a/b+((a^b)>0&&a%b); } // divide a by b rounded up
ll fdiv(ll a, ll b) { return a/b-((a^b)<0&&a%b); } // divide a by b rounded down
ll half(ll x) { return fdiv(x,2); }
 
template<class T, class U> T fstTrue(T lo, T hi, U f) {
    hi ++; assert(lo <= hi); // assuming f is increasing
    while (lo < hi) { // find first index such that f is true 
        T mid = half(lo+hi);
        f(mid) ? hi = mid : lo = mid+1; 
    } 
    return lo;
}
template<class T, class U> T lstTrue(T lo, T hi, U f) {
    lo --; assert(lo <= hi); // assuming f is decreasing
    while (lo < hi) { // find first index such that f is true 
        T mid = half(lo+hi+1);
        f(mid) ? lo = mid : hi = mid-1;
    } 
    return lo;
}
template<class T> void remDup(vector<T>& v) { 
    sort(all(v)); v.erase(unique(all(v)),end(v)); }
 
// INPUT
template<class A> void re(complex<A>& c);
template<class A, class B> void re(pair<A,B>& p);
template<class A> void re(vector<A>& v);
template<class A, size_t SZ> void re(array<A,SZ>& a);
 
template<class T> void re(T& x) { cin >> x; }
void re(db& d) { str t; re(t); d = stod(t); }
void re(ld& d) { str t; re(t); d = stold(t); }
template<class H, class... T> void re(H& h, T&... t) { re(h); re(t...); }
 
template<class A> void re(complex<A>& c) { A a,b; re(a,b); c = {a,b}; }
template<class A, class B> void re(pair<A,B>& p) { re(p.f,p.s); }
template<class A> void re(vector<A>& x) { trav(a,x) re(a); }
template<class A, size_t SZ> void re(array<A,SZ>& x) { trav(a,x) re(a); }
 
// TO_STRING
#define ts to_string
str ts(char c) { return str(1,c); }
str ts(const char* s) { return (str)s; }
str ts(str s) { return s; }
str ts(bool b) { 
    #ifdef LOCAL
        return b ? "true" : "false"; 
    #else 
        return ts((int)b);
    #endif
}
template<class A> str ts(complex<A> c) { 
    stringstream ss; ss << c; return ss.str(); }
str ts(vector<bool> v) {
    str res = "{"; F0R(i,sz(v)) res += char('0'+v[i]);
    res += "}"; return res; }
template<size_t SZ> str ts(bitset<SZ> b) {
    str res = ""; F0R(i,SZ) res += char('0'+b[i]);
    return res; }
template<class A, class B> str ts(pair<A,B> p);
template<class T> str ts(T v) { // containers with begin(), end()
    #ifdef LOCAL
        bool fst = 1; str res = "{";
        for (const auto& x: v) {
            if (!fst) res += ", ";
            fst = 0; res += ts(x);
        }
        res += "}"; return res;
    #else
        bool fst = 1; str res = "";
        for (const auto& x: v) {
            if (!fst) res += " ";
            fst = 0; res += ts(x);
        }
        return res;
 
    #endif
}
template<class A, class B> str ts(pair<A,B> p) {
    #ifdef LOCAL
        return "("+ts(p.f)+", "+ts(p.s)+")"; 
    #else
        return ts(p.f)+" "+ts(p.s);
    #endif
}
 
// OUTPUT
template<class A> void pr(A x) { cout << ts(x); }
template<class H, class... T> void pr(const H& h, const T&... t) { 
    pr(h); pr(t...); }
void ps() { pr("\n"); } // print w/ spaces
template<class H, class... T> void ps(const H& h, const T&... t) { 
    pr(h); if (sizeof...(t)) pr(" "); ps(t...); }
 
// DEBUG
void DBG() { cerr << "]" << endl; }
template<class H, class... T> void DBG(H h, T... t) {
    cerr << ts(h); if (sizeof...(t)) cerr << ", ";
    DBG(t...); }
#ifdef LOCAL // compile with -DLOCAL, chk -> fake assert
    #define dbg(...) cerr << "Line(" << __LINE__ << ") -> [" << #__VA_ARGS__ << "]: [", DBG(__VA_ARGS__)
    #define chk(...) if (!(__VA_ARGS__)) cerr << "Line(" << __LINE__ << ") -> function(" \
         << __FUNCTION__  << ") -> CHK FAILED: (" << #__VA_ARGS__ << ")" << "\n", exit(0);
#else
    #define dbg(...) 0
    #define chk(...) 0
#endif
 
// FILE I/O
void setIn(str s) { freopen(s.c_str(),"r",stdin); }
void setOut(str s) { freopen(s.c_str(),"w",stdout); }
void unsyncIO() { ios_base::sync_with_stdio(0); cin.tie(0); }
void setIO(str s = "") {
    unsyncIO();
    // cin.exceptions(cin.failbit); 
    // throws exception when do smth illegal
    // ex. try to read letter into int
    if (sz(s)) { setIn(s+".in"), setOut(s+".out"); } // for USACO
}
 
/**
 * Description: point add and rectangle sum with offline 2D BIT. $x\in (0,SZ)$.
 * Time: O(N\log^2 N)
 * Memory: O(N\log N)
 * Source: Own
 * Verification: 
     * https://dmoj.ca/problem/occ19g4
     * http://www.usaco.org/index.php?page=viewproblem2&cpid=722 (753 ms)
     * http://www.usaco.org/index.php?page=viewproblem2&cpid=601 (679 ms)
 */
 
template<class T, int SZ> struct OffBIT2D { 
    bool mode = 0; // mode = 1 -> initialized
    vpi todo;
    int cnt[SZ], st[SZ];
    vi val;
    vector<T> bit;
    void init() {
        assert(!mode); mode = 1;
        int lst[SZ]; F0R(i,SZ) lst[i] = cnt[i] = 0;
        sort(all(todo),[](const pi& a, const pi& b) { 
            return a.s < b.s; });
        trav(t,todo) for (int x = t.f; x < SZ; x += x&-x) 
            if (lst[x] != t.s) lst[x] = t.s, cnt[x] ++;
        T sum = 0;
        F0R(i,SZ) { lst[i] = 0; st[i] = sum; sum += cnt[i]; }
        val.rsz(sum); bit.rsz(sum); // store BITs in single vector
        trav(t,todo) for (int x = t.f; x < SZ; x += x&-x) 
            if (lst[x] != t.s) lst[x] = t.s, val[st[x]++] = t.s;
    }
    int rank(int y, int l, int r) {
        return ub(begin(val)+l,begin(val)+r,y)-begin(val)-l; }
    void UPD(int x, int y, T t) {
        int z = st[x]-cnt[x]; // x-BIT = range from z to st[x]-1
        for (y = rank(y,z,st[x]); y <= cnt[x]; y += y&-y) 
            bit[z+y-1] += t;
    }
    void upd(int x, int y, T t) { 
        if (!mode) todo.pb({x,y});
        else for (;x<SZ;x+=x&-x) UPD(x,y,t); 
    }
    T QUERY(int x, int y) {
        int z = st[x]-cnt[x];
        T res = 0;
        for (y = rank(y,z,st[x]); y; y -= y&-y) res += bit[z+y-1];
        return res;
    }
    T query(int x, int y) { 
        assert(mode);
        T res = 0; for (; x; x -= x&-x) res += QUERY(x,y);
        return res;
    }
    T query(int xl, int xr, int yl, int yr) { 
        return query(xr,yr)-query(xl-1,yr)
            -query(xr,yl-1)+query(xl-1,yl-1); }
};
 
 
 
const int mx = 300005;
 
int n, q;
set<pi> rang;
int typ[mx];
int tog[mx];
pi query[mx];
OffBIT2D<int, mx> bt;
 
void ERASE(pi x, int tim){
    //dbg("ERASE", x, tim);
    rang.erase(x);
    bt.upd(x.f, x.s, tim);
}
 
void INSERT(pi x, int tim){
    //dbg("INSERT", x, tim);
    rang.ins(x);
    bt.upd(x.f, x.s, -tim);
}
 
 
void toggle(int i, int tim){
    auto it = prev(rang.lb(mp(i+1, 0)));
    pi x = *it;
    if(x.s == i){
        //toggle on
        pi y = *(next(it));
        ERASE(x, tim);
        ERASE(y, tim);
        INSERT(mp(x.f, y.s), tim);
    }
    else{
        assert(x.s > i);
        //toggle off
        ERASE(x, tim);
        INSERT(mp(x.f, i), tim);
        INSERT(mp(i+1, x.s), tim);
    }
}

int getLin(int a, int b){
    auto it = prev(rang.lb(mp(a+1, 0)));
    pi x = *it;
    if(b <= x.s){
        return 1;
    }
    return 0;
}
 
ll QUERY(int a, int b, int tim){
    // dbg(a, b, tim);
    // dbg(lin.query(1, a, b, n+1));
    // dbg(bt.query(1, a, b, n+1));
    return getLin(a, b)*tim+bt.query(1, a, b, n+1);
}
 
int main() {
    setIO();
    cin >> n >> q;
    string s;
    cin >> s;
    for(int i = 1; i <= n+1; i++){
        INSERT(mp(i, i), 0);
    }
    for(int i = 0; i < n; i++){
        if(s[i] == '1') toggle(i+1, 0);
    }
    for(int i = 1; i <= q; i++){
        string x;
        cin >> x;
        if(x == "toggle"){
            typ[i] = 1;
        }
        else if(x == "query"){
            typ[i] = 2;
        }
        else assert(0==1);
 
        if(typ[i] == 1){
            cin >> tog[i];
        }
        else{
            cin >> query[i].f >> query[i].s; 
        }
    }
    for(int i = 1; i <= q; i++){
        if(typ[i] == 1){
            toggle(tog[i], i);
        }
    }
    bt.init();
    rang.clear();
    //dbg("START");
    for(int i = 1; i <= n+1; i++){
        INSERT(mp(i, i), 0);
    }
    for(int i = 0; i < n; i++){
        if(s[i] == '1') toggle(i+1, 0);
    }
    for(int i = 1; i <= q; i++){
        if(typ[i] == 1){
            toggle(tog[i], i);
        }
        else{
            ps(QUERY(query[i].f, query[i].s, i));
        }
        //dbg(i, rang);
    }
    // you should actually read the stuff at the bottom
}
 
/* stuff you should look for
    * int overflow, array bounds
    * special cases (n=1?)
    * do smth instead of nothing and stay organized
    * WRITE STUFF DOWN
*/

Compilation message (stderr)

street_lamps.cpp: In function 'void setIn(str)':
street_lamps.cpp:165:28: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
 void setIn(str s) { freopen(s.c_str(),"r",stdin); }
                     ~~~~~~~^~~~~~~~~~~~~~~~~~~~~
street_lamps.cpp: In function 'void setOut(str)':
street_lamps.cpp:166:29: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
 void setOut(str s) { freopen(s.c_str(),"w",stdout); }
                      ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
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