#include "bits/stdc++.h"
using namespace std;
#define int long long
#ifdef ONLINE_JUDGE
const int MAXN = 3e5 + 10;
#endif
#ifndef ONLINE_JUDGE
const int MAXN = 1029;
#endif
const int MOD = 1e9 + 7;
#define ll __int128
mt19937_64 rng((int)std::chrono::steady_clock::now().time_since_epoch().count());
int rnd(int x, int y) {
int u = uniform_int_distribution<int>(x, y)(rng); return u;
}
ll read() { int x; cin >> x; return (ll)x; }
long long bm(long long b, long long p) {
if(p==0) return 1 % MOD;
long long r = bm(b, p >> 1);
if(p&1) return (((r*r) % MOD) * b) % MOD;
return (r*r) % MOD;
}
long long inv(long long b) {
return bm(b, MOD-2);
}
long long f[MAXN];
long long nCr(int n, int r) {
long long ans = f[n]; ans *= inv(f[r]); ans %= MOD;
ans *= inv(f[n-r]); ans %= MOD; return ans;
}
long long fib[MAXN], lucas[MAXN];
void precomp() {
for(int i=0; i<MAXN; i++) f[i] = (i == 0 ? 1 % MOD : (f[i-1] * i) % MOD);
lucas[0] = 2;
lucas[1] = 1;
for(int i=2; i<MAXN; i++) lucas[i] = (lucas[i-2] + lucas[i-1]) % MOD;
fib[0] = 0;
fib[1] = 1;
for(int i=2; i<MAXN; i++) fib[i] = (fib[i-2] + fib[i-1]) % MOD;
}
int fastlog(int x) {
return (x == 0 ? -1 : 64 - __builtin_clzll(x) - 1);
}
void gay(int i) { cout << "Case #" << i << ": "; }
int csb(int l, int r, int k) { // count number of [l, r] such that i & 2^k > 0
if(l > r) return 0;
if(l == 0) {
int s = r / (1ll << (k+1)); // number of complete cycles
int t = r % (1ll << (k+1));
int ans = s * (1ll << k);
ans += (t >= (1ll << k) ? t - (1ll << k) + 1 : 0);
return ans;
}
else return csb(0, r, k) - csb(0, l - 1, k);
}
int lis(vector<int> a) {
int n = a.size();
int bucket[n+1];
for(int i=1; i<=n; i++) bucket[i] = 1e18;
int ans = 1;
for(int x: a) {
auto it = lower_bound(bucket + 1, bucket +n +1, x);
int d = distance(bucket, it);
ans = max(ans, d);
bucket[d] = min(bucket[d], x);
}
return ans;
}
struct segtree_basic {
struct node {
int lazyval, mi, ma, sum; char lazytag;
int len; // not changing
};
int stok;
vector<node> st;
void bu(int l, int r, int idx) {
st[idx].lazyval = st[idx].mi = st[idx].ma = st[idx].sum = 0;
st[idx].lazytag = '?';
st[idx].len = r - l + 1;
if(l == r) {
return;
}
int mid = (l + r) >> 1;
bu(l, mid, 2*idx+1);
bu(mid+1, r, 2*idx+2);
}
void push_down(int idx) {
if(st[idx].lazytag == '?') return;
if(st[idx].lazytag == ':') {
st[2*idx+1].lazyval = st[idx].lazyval;
st[2*idx+1].mi = st[idx].lazyval;
st[2*idx+1].ma = st[idx].lazyval;
st[2*idx+1].sum = st[idx].lazyval * st[2*idx+1].len;
st[2*idx+1].lazytag = ':';
st[2*idx+2].lazyval = st[idx].lazyval;
st[2*idx+2].mi = st[idx].lazyval;
st[2*idx+2].ma = st[idx].lazyval;
st[2*idx+2].sum = st[idx].lazyval * st[2*idx+2].len;
st[2*idx+2].lazytag = ':';
}
else {
st[2*idx+1].lazyval += st[idx].lazyval;
st[2*idx+1].mi += st[idx].lazyval;
st[2*idx+1].ma += st[idx].lazyval;
st[2*idx+1].sum += st[idx].lazyval * st[2*idx+1].len;
st[2*idx+1].lazytag = (st[2*idx+1].lazytag == ':' ? ':' : '+');
st[2*idx+2].lazyval += st[idx].lazyval;
st[2*idx+2].mi += st[idx].lazyval;
st[2*idx+2].ma += st[idx].lazyval;
st[2*idx+2].sum += st[idx].lazyval * st[2*idx+2].len;
st[2*idx+2].lazytag = (st[2*idx+2].lazytag == ':' ? ':' : '+');
}
st[idx].lazytag = '?';
st[idx].lazyval = 0;
}
void push_up(int idx) {
st[idx].mi = min(st[2*idx+1].mi, st[2*idx+2].mi);
st[idx].ma = max(st[2*idx+1].ma, st[2*idx+2].ma);
st[idx].sum = st[2*idx+1].sum + st[2*idx+2].sum;
}
void u1(int l, int r, int constl, int constr, int idx, int val) { // range := v
if(l <= constl && constr <= r) {
st[idx].lazyval = val;
st[idx].mi = val;
st[idx].ma = val;
st[idx].sum = val * st[idx].len;
st[idx].lazytag = ':';
return;
}
int mid = (constl + constr) >> 1;
push_down(idx);
if(mid < l || r < constl) u1(l, r, mid+1, constr, 2*idx+2, val);
else if(constr < l || r < mid + 1) u1(l, r, constl, mid, 2*idx+1, val);
else {
u1(l, r, constl, mid, 2*idx+1, val);
u1(l, r, mid+1, constr, 2*idx+2, val);
}
push_up(idx);
}
void u2(int l, int r, int constl, int constr, int idx, int val) { // range += v
if(l <= constl && constr <= r) {
st[idx].lazyval += val;
st[idx].mi += val;
st[idx].ma += val;
st[idx].sum += val * st[idx].len;
st[idx].lazytag = (st[idx].lazytag == ':' ? ':' : '+');
return;
}
int mid = (constl + constr) >> 1;
push_down(idx);
if(mid < l || r < constl) u2(l, r, mid+1, constr, 2*idx+2, val);
else if(constr < l || r < mid + 1) u2(l, r, constl, mid, 2*idx+1, val);
else {
u2(l, r, constl, mid, 2*idx+1, val);
u2(l, r, mid+1, constr, 2*idx+2, val);
}
push_up(idx);
}
int qu1(int l, int r, int constl, int constr, int idx) { // range min
if(l <= constl && constr <= r) return st[idx].mi;
int mid = (constl + constr) >> 1;
push_down(idx);
if(mid < l || r < constl) return qu1(l, r, mid+1, constr, 2*idx+2);
else if(constr < l || r < mid + 1) return qu1(l, r, constl, mid, 2*idx+1);
else {
return min(qu1(l, r, constl, mid, 2*idx+1), qu1(l, r, mid+1, constr, 2*idx+2));
}
}
int qu2(int l, int r, int constl, int constr, int idx) { // range max
if(l <= constl && constr <= r) return st[idx].ma;
int mid = (constl + constr) >> 1;
push_down(idx);
if(mid < l || r < constl) return qu2(l, r, mid+1, constr, 2*idx+2);
else if(constr < l || r < mid + 1) return qu2(l, r, constl, mid, 2*idx+1);
else {
return max(qu2(l, r, constl, mid, 2*idx+1), qu2(l, r, mid+1, constr, 2*idx+2));
}
}
int qu3(int l, int r, int constl, int constr, int idx) { // range sum
if(l <= constl && constr <= r) return st[idx].sum;
int mid = (constl + constr) >> 1;
push_down(idx);
if(mid < l || r < constl) return qu3(l, r, mid+1, constr, 2*idx+2);
else if(constr < l || r < mid + 1) return qu3(l, r, constl, mid, 2*idx+1);
else {
return qu3(l, r, constl, mid, 2*idx+1) + qu3(l, r, mid+1, constr, 2*idx+2);
}
}
int qu4(int l, int r, int constl, int constr, int idx, int val) { // first at least v
if(l <= constl && constr <= r) {
if(st[idx].ma < val) return -1;
while(constl < constr) {
int mid = (constl + constr) >> 1;
push_down(idx);
if(st[2*idx+1].ma >= val) constr = mid, idx = 2*idx + 1;
else constl = mid+1, idx = 2*idx + 2;
}
return constl;
}
int mid = (constl + constr) >> 1;
push_down(idx);
if(mid < l || r < constl) return qu4(l, r, mid+1, constr, 2*idx+2, val);
else if(constr < l || r < mid + 1) return qu4(l, r, constl, mid, 2*idx+1, val);
else {
int lchild = qu4(l, r, constl, mid, 2*idx+1, val);
if(lchild != -1) return lchild;
return qu4(l, r, mid+1, constr, 2*idx+2, val);
}
}
int qu5(int l, int r, int constl, int constr, int idx, int val) { // first at most v
if(l <= constl && constr <= r) {
if(st[idx].mi > val) return -1;
while(constl < constr) {
int mid = (constl + constr) >> 1;
push_down(idx);
if(st[2*idx+1].mi <= val) constr = mid, idx = 2*idx + 1;
else constl = mid+1, idx = 2*idx + 2;
}
return constl;
}
int mid = (constl + constr) >> 1;
push_down(idx);
if(mid < l || r < constl) return qu5(l, r, mid+1, constr, 2*idx+2, val);
else if(constr < l || r < mid + 1) return qu5(l, r, constl, mid, 2*idx+1, val);
else {
int lchild = qu5(l, r, constl, mid, 2*idx+1, val);
if(lchild != -1) return lchild;
return qu5(l, r, mid+1, constr, 2*idx+2, val);
}
}
int qu6(int l, int r, int constl, int constr, int idx, int val) { // last at least v
if(l <= constl && constr <= r) {
if(st[idx].ma < val) return -1;
while(constl < constr) {
int mid = (constl + constr) >> 1;
push_down(idx);
if(st[2*idx+2].ma >= val) constl = mid+1, idx = 2*idx + 2;
else constr = mid, idx = 2*idx + 1;
}
return constl;
}
int mid = (constl + constr) >> 1;
push_down(idx);
if(mid < l || r < constl) return qu6(l, r, mid+1, constr, 2*idx+2, val);
else if(constr < l || r < mid + 1) return qu6(l, r, constl, mid, 2*idx+1, val);
else {
int rchild = qu6(l, r, mid+1, constr, 2*idx+2, val);
if(rchild != -1) return rchild;
return qu6(l, r, constl, mid, 2*idx+1, val);
}
}
int qu7(int l, int r, int constl, int constr, int idx, int val) { // last at most v
if(l <= constl && constr <= r) {
if(st[idx].mi > val) return -1;
while(constl < constr) {
int mid = (constl + constr) >> 1;
push_down(idx);
if(st[2*idx+2].mi <= val) constl = mid+1, idx = 2*idx + 2;
else constr = mid, idx = 2*idx + 1;
}
return constl;
}
int mid = (constl + constr) >> 1;
push_down(idx);
if(mid < l || r < constl) return qu7(l, r, mid+1, constr, 2*idx+2, val);
else if(constr < l || r < mid + 1) return qu7(l, r, constl, mid, 2*idx+1, val);
else {
int rchild = qu7(l, r, mid+1, constr, 2*idx+2, val);
if(rchild != -1) return rchild;
return qu7(l, r, constl, mid, 2*idx+1, val);
}
}
public:
void resize(int k) {
st.resize(4*k + 10);
stok = k;
bu(0, k, 0);
}
void range_assign(int l, int r, int v) { u1(l, r, 0, stok, 0, v); }
void range_add(int l, int r, int v) { u2(l, r, 0, stok, 0, v); }
int query_min(int l, int r) { return qu1(l, r, 0, stok, 0); }
int query_max(int l, int r) { return qu2(l, r, 0, stok, 0); }
int query_sum(int l, int r) { return qu3(l, r, 0, stok, 0); }
int query_firstAtLeast(int l, int r, int v) { return qu4(l, r, 0, stok, 0, v); }
int query_firstAtMost(int l, int r, int v) { return qu5(l, r, 0, stok, 0, v); }
int query_lastAtLeast(int l, int r, int v) { return qu6(l, r, 0, stok, 0, v); }
int query_lastAtMost(int l, int r, int v) { return qu7(l, r, 0, stok, 0, v); }
};
int n, m;
segtree_basic stb;
char ans[MAXN];
void recur(int l, int r) {
vector<int> ind;
int x = stb.query_max(l, r);
int b = l;
while(b <= r) {
int i = stb.query_firstAtLeast(b, r, x);
if(i == -1) break;
ind.push_back(i);
b = i+1;
}
if(ind[0] != l) {
int lb = l, rb = ind[0] - 1;
if(stb.query_sum(lb, rb) >= x) recur(lb, rb);
}
if(ind[ind.size() - 1] != r) {
int lb = ind[ind.size() - 1] + 1, rb = r;
if(stb.query_sum(lb, rb) >= x) recur(lb, rb);
}
if(ind.size() > 1) {
for(int i=1; i<ind.size(); i++) {
if(ind[i] - ind[i-1] > 1) {
int lb = ind[i-1] + 1, rb = ind[i] - 1;
if(stb.query_sum(lb, rb) >= x) {
recur(lb, rb);
}
}
}
}
for(int x: ind) ans[x] = '1';
}
void solve(int tc) {
cin >> n >> m;
stb.resize(n);
for(int i=1; i<=n; i++) {
int s;
cin >> s;
stb.range_add(i, i, s);
}
for(int i=1; i<=n; i++) ans[i] = '0';
recur(1, n);
for(int i=1; i<=n; i++) cout << ans[i];
cout << "\n";
}
int32_t main() {
precomp();
ios::sync_with_stdio(0); cin.tie(0);
int t = 1; //cin >> t;
for(int i=1; i<=t; i++) solve(i);
}
// I don't know geometry.
// Teaming is unfair.
Compilation message
island.cpp: In function 'void recur(long long int, long long int)':
island.cpp:327:19: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
327 | for(int i=1; i<ind.size(); i++) {
| ~^~~~~~~~~~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
340 KB |
Output is correct |
| 2 |
Correct |
1 ms |
340 KB |
Output is correct |
| 3 |
Correct |
1 ms |
340 KB |
Output is correct |
| 4 |
Runtime error |
2 ms |
1108 KB |
Execution killed with signal 11 |
| 5 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
340 KB |
Output is correct |
| 2 |
Correct |
1 ms |
340 KB |
Output is correct |
| 3 |
Runtime error |
112 ms |
77652 KB |
Execution killed with signal 11 |
| 4 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
340 KB |
Output is correct |
| 2 |
Runtime error |
141 ms |
77652 KB |
Execution killed with signal 11 |
| 3 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
340 KB |
Output is correct |
| 2 |
Runtime error |
111 ms |
77092 KB |
Execution killed with signal 11 |
| 3 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
340 KB |
Output is correct |
| 2 |
Correct |
1 ms |
340 KB |
Output is correct |
| 3 |
Correct |
1 ms |
340 KB |
Output is correct |
| 4 |
Runtime error |
2 ms |
1108 KB |
Execution killed with signal 11 |
| 5 |
Halted |
0 ms |
0 KB |
- |
