#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<bool> vb;
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 sor(x) sort(all(x))
#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) {
// note: if (lo+hi)/2 is used instead of half(lo+hi) then this will loop infinitely when lo=hi
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() { cin.tie(0)->sync_with_stdio(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
}
const int mx = 1000005;
ll C[mx];
ll S[mx];
ll A[mx];
ll B[mx];
int main() {
setIO();
int N;
cin >> N;
for(int i = 1; i <= N; i++){
cin >> A[i] >> B[i];
C[i] = B[i]-A[i];
}
vl D(N+60, 0);
vl res(60, 0);
for(int i = N; i >= 1; i--){
D[i-1] = -C[i];
}
//ps(D);
for(int i = 0; i <= 53; i++){
//convert D[i] to 0 or 1
if(D[i] < 0){
ll val = (D[i]-1)/2;
D[i+1]+=val;
D[i]-=val*2;
}
else if(D[i] >= 2){
ll val = (D[i])/2;
D[i+1]+=val;
D[i]-=val*2;
}
//find res[i]
if(D[i] == 1){
res[i] = 1;
D[i]--;
D[i+1]++;
D[i+N]--;
}
}
//ps(res);
for(int i = 0; i < 60; i++){
S[N]+=res[i]<<i;
}
for(int i = N-1; i >= 1; i--){
S[i] = 2*S[i+1]+C[i+1];
if(S[i] >= INF || S[i] < 0){
ps("No");
//dbg(i, S[i], S[i+1]);
return 0;
}
}
if(S[N] != 2*S[1]+C[1]){
ps("No");
return 0;
}
// for(int i = 1; i <= N; i++){
// dbg(i, S[i]);
// }
int curind = N;
int bad = 0;
while(bad <= N+3){
int nexind = curind-1;
if(nexind == 0) nexind = N;
if(S[nexind] >= 1 && B[curind] >= 1){
ll val = min(S[nexind], B[curind]);
S[nexind]-=val;
B[curind]-=val;
B[nexind] += 2*val;
bad = 0;
}
else bad++;
curind = nexind;
}
for(int i = 1; i <= N; i++){
if(A[i] != B[i]){
ps("No");
return 0;
}
}
ps("Yes");
// 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
remittance.cpp: In function 'void setIn(str)':
remittance.cpp:168:28: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
168 | void setIn(str s) { freopen(s.c_str(),"r",stdin); }
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~
remittance.cpp: In function 'void setOut(str)':
remittance.cpp:169:29: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
169 | void setOut(str s) { freopen(s.c_str(),"w",stdout); }
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
0 ms |
384 KB |
Output is correct |
3 |
Correct |
1 ms |
384 KB |
Output is correct |
4 |
Correct |
1 ms |
384 KB |
Output is correct |
5 |
Correct |
0 ms |
384 KB |
Output is correct |
6 |
Correct |
1 ms |
384 KB |
Output is correct |
7 |
Correct |
0 ms |
384 KB |
Output is correct |
8 |
Correct |
0 ms |
384 KB |
Output is correct |
9 |
Correct |
0 ms |
384 KB |
Output is correct |
10 |
Correct |
0 ms |
384 KB |
Output is correct |
11 |
Correct |
1 ms |
384 KB |
Output is correct |
12 |
Correct |
1 ms |
384 KB |
Output is correct |
13 |
Correct |
1 ms |
384 KB |
Output is correct |
14 |
Correct |
0 ms |
384 KB |
Output is correct |
15 |
Correct |
0 ms |
384 KB |
Output is correct |
16 |
Correct |
1 ms |
384 KB |
Output is correct |
17 |
Correct |
1 ms |
384 KB |
Output is correct |
18 |
Correct |
0 ms |
384 KB |
Output is correct |
19 |
Correct |
1 ms |
384 KB |
Output is correct |
20 |
Correct |
1 ms |
384 KB |
Output is correct |
21 |
Correct |
0 ms |
384 KB |
Output is correct |
22 |
Correct |
0 ms |
384 KB |
Output is correct |
23 |
Correct |
0 ms |
384 KB |
Output is correct |
24 |
Correct |
0 ms |
384 KB |
Output is correct |
25 |
Correct |
1 ms |
384 KB |
Output is correct |
26 |
Correct |
1 ms |
384 KB |
Output is correct |
27 |
Correct |
1 ms |
384 KB |
Output is correct |
28 |
Correct |
1 ms |
384 KB |
Output is correct |
29 |
Correct |
1 ms |
384 KB |
Output is correct |
30 |
Correct |
1 ms |
384 KB |
Output is correct |
31 |
Correct |
1 ms |
384 KB |
Output is correct |
32 |
Correct |
1 ms |
384 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
0 ms |
384 KB |
Output is correct |
3 |
Correct |
1 ms |
384 KB |
Output is correct |
4 |
Correct |
1 ms |
384 KB |
Output is correct |
5 |
Correct |
0 ms |
384 KB |
Output is correct |
6 |
Correct |
1 ms |
384 KB |
Output is correct |
7 |
Correct |
0 ms |
384 KB |
Output is correct |
8 |
Correct |
0 ms |
384 KB |
Output is correct |
9 |
Correct |
0 ms |
384 KB |
Output is correct |
10 |
Correct |
0 ms |
384 KB |
Output is correct |
11 |
Correct |
1 ms |
384 KB |
Output is correct |
12 |
Correct |
1 ms |
384 KB |
Output is correct |
13 |
Correct |
1 ms |
384 KB |
Output is correct |
14 |
Correct |
0 ms |
384 KB |
Output is correct |
15 |
Correct |
0 ms |
384 KB |
Output is correct |
16 |
Correct |
1 ms |
384 KB |
Output is correct |
17 |
Correct |
1 ms |
384 KB |
Output is correct |
18 |
Correct |
0 ms |
384 KB |
Output is correct |
19 |
Correct |
1 ms |
384 KB |
Output is correct |
20 |
Correct |
1 ms |
384 KB |
Output is correct |
21 |
Correct |
0 ms |
384 KB |
Output is correct |
22 |
Correct |
0 ms |
384 KB |
Output is correct |
23 |
Correct |
0 ms |
384 KB |
Output is correct |
24 |
Correct |
0 ms |
384 KB |
Output is correct |
25 |
Correct |
1 ms |
384 KB |
Output is correct |
26 |
Correct |
1 ms |
384 KB |
Output is correct |
27 |
Correct |
1 ms |
384 KB |
Output is correct |
28 |
Correct |
1 ms |
384 KB |
Output is correct |
29 |
Correct |
1 ms |
384 KB |
Output is correct |
30 |
Correct |
1 ms |
384 KB |
Output is correct |
31 |
Correct |
1 ms |
384 KB |
Output is correct |
32 |
Correct |
1 ms |
384 KB |
Output is correct |
33 |
Correct |
1 ms |
384 KB |
Output is correct |
34 |
Correct |
1 ms |
384 KB |
Output is correct |
35 |
Correct |
1 ms |
384 KB |
Output is correct |
36 |
Correct |
0 ms |
384 KB |
Output is correct |
37 |
Correct |
1 ms |
384 KB |
Output is correct |
38 |
Correct |
1 ms |
384 KB |
Output is correct |
39 |
Correct |
1 ms |
384 KB |
Output is correct |
40 |
Correct |
1 ms |
384 KB |
Output is correct |
41 |
Correct |
1 ms |
384 KB |
Output is correct |
42 |
Correct |
0 ms |
384 KB |
Output is correct |
43 |
Correct |
1 ms |
384 KB |
Output is correct |
44 |
Correct |
0 ms |
384 KB |
Output is correct |
45 |
Correct |
0 ms |
384 KB |
Output is correct |
46 |
Correct |
1 ms |
384 KB |
Output is correct |
47 |
Correct |
0 ms |
384 KB |
Output is correct |
48 |
Correct |
0 ms |
384 KB |
Output is correct |
49 |
Correct |
1 ms |
384 KB |
Output is correct |
50 |
Correct |
1 ms |
384 KB |
Output is correct |
51 |
Correct |
1 ms |
384 KB |
Output is correct |
52 |
Correct |
1 ms |
384 KB |
Output is correct |
53 |
Correct |
1 ms |
384 KB |
Output is correct |
54 |
Correct |
1 ms |
384 KB |
Output is correct |
55 |
Correct |
1 ms |
384 KB |
Output is correct |
56 |
Correct |
1 ms |
384 KB |
Output is correct |
57 |
Correct |
1 ms |
384 KB |
Output is correct |
58 |
Correct |
1 ms |
384 KB |
Output is correct |
59 |
Correct |
1 ms |
416 KB |
Output is correct |
60 |
Correct |
1 ms |
384 KB |
Output is correct |
61 |
Correct |
1 ms |
384 KB |
Output is correct |
62 |
Correct |
1 ms |
384 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
0 ms |
384 KB |
Output is correct |
3 |
Correct |
1 ms |
384 KB |
Output is correct |
4 |
Correct |
1 ms |
384 KB |
Output is correct |
5 |
Correct |
0 ms |
384 KB |
Output is correct |
6 |
Correct |
1 ms |
384 KB |
Output is correct |
7 |
Correct |
0 ms |
384 KB |
Output is correct |
8 |
Correct |
0 ms |
384 KB |
Output is correct |
9 |
Correct |
0 ms |
384 KB |
Output is correct |
10 |
Correct |
0 ms |
384 KB |
Output is correct |
11 |
Correct |
1 ms |
384 KB |
Output is correct |
12 |
Correct |
1 ms |
384 KB |
Output is correct |
13 |
Correct |
1 ms |
384 KB |
Output is correct |
14 |
Correct |
0 ms |
384 KB |
Output is correct |
15 |
Correct |
0 ms |
384 KB |
Output is correct |
16 |
Correct |
1 ms |
384 KB |
Output is correct |
17 |
Correct |
1 ms |
384 KB |
Output is correct |
18 |
Correct |
0 ms |
384 KB |
Output is correct |
19 |
Correct |
1 ms |
384 KB |
Output is correct |
20 |
Correct |
1 ms |
384 KB |
Output is correct |
21 |
Correct |
0 ms |
384 KB |
Output is correct |
22 |
Correct |
0 ms |
384 KB |
Output is correct |
23 |
Correct |
0 ms |
384 KB |
Output is correct |
24 |
Correct |
0 ms |
384 KB |
Output is correct |
25 |
Correct |
1 ms |
384 KB |
Output is correct |
26 |
Correct |
1 ms |
384 KB |
Output is correct |
27 |
Correct |
1 ms |
384 KB |
Output is correct |
28 |
Correct |
1 ms |
384 KB |
Output is correct |
29 |
Correct |
1 ms |
384 KB |
Output is correct |
30 |
Correct |
1 ms |
384 KB |
Output is correct |
31 |
Correct |
1 ms |
384 KB |
Output is correct |
32 |
Correct |
1 ms |
384 KB |
Output is correct |
33 |
Correct |
1 ms |
384 KB |
Output is correct |
34 |
Correct |
1 ms |
384 KB |
Output is correct |
35 |
Correct |
1 ms |
384 KB |
Output is correct |
36 |
Correct |
0 ms |
384 KB |
Output is correct |
37 |
Correct |
1 ms |
384 KB |
Output is correct |
38 |
Correct |
1 ms |
384 KB |
Output is correct |
39 |
Correct |
1 ms |
384 KB |
Output is correct |
40 |
Correct |
1 ms |
384 KB |
Output is correct |
41 |
Correct |
1 ms |
384 KB |
Output is correct |
42 |
Correct |
0 ms |
384 KB |
Output is correct |
43 |
Correct |
1 ms |
384 KB |
Output is correct |
44 |
Correct |
0 ms |
384 KB |
Output is correct |
45 |
Correct |
0 ms |
384 KB |
Output is correct |
46 |
Correct |
1 ms |
384 KB |
Output is correct |
47 |
Correct |
0 ms |
384 KB |
Output is correct |
48 |
Correct |
0 ms |
384 KB |
Output is correct |
49 |
Correct |
1 ms |
384 KB |
Output is correct |
50 |
Correct |
1 ms |
384 KB |
Output is correct |
51 |
Correct |
1 ms |
384 KB |
Output is correct |
52 |
Correct |
1 ms |
384 KB |
Output is correct |
53 |
Correct |
1 ms |
384 KB |
Output is correct |
54 |
Correct |
1 ms |
384 KB |
Output is correct |
55 |
Correct |
1 ms |
384 KB |
Output is correct |
56 |
Correct |
1 ms |
384 KB |
Output is correct |
57 |
Correct |
1 ms |
384 KB |
Output is correct |
58 |
Correct |
1 ms |
384 KB |
Output is correct |
59 |
Correct |
1 ms |
416 KB |
Output is correct |
60 |
Correct |
1 ms |
384 KB |
Output is correct |
61 |
Correct |
1 ms |
384 KB |
Output is correct |
62 |
Correct |
1 ms |
384 KB |
Output is correct |
63 |
Correct |
267 ms |
51040 KB |
Output is correct |
64 |
Correct |
175 ms |
43384 KB |
Output is correct |
65 |
Correct |
271 ms |
58360 KB |
Output is correct |
66 |
Correct |
169 ms |
43384 KB |
Output is correct |
67 |
Correct |
175 ms |
44792 KB |
Output is correct |
68 |
Correct |
179 ms |
47100 KB |
Output is correct |
69 |
Correct |
284 ms |
59000 KB |
Output is correct |
70 |
Correct |
146 ms |
35704 KB |
Output is correct |
71 |
Correct |
159 ms |
43216 KB |
Output is correct |
72 |
Correct |
166 ms |
41692 KB |
Output is correct |
73 |
Correct |
237 ms |
52856 KB |
Output is correct |
74 |
Correct |
150 ms |
41080 KB |
Output is correct |
75 |
Correct |
157 ms |
43768 KB |
Output is correct |
76 |
Correct |
175 ms |
45688 KB |
Output is correct |
77 |
Correct |
259 ms |
58748 KB |
Output is correct |
78 |
Correct |
226 ms |
51140 KB |
Output is correct |
79 |
Correct |
202 ms |
43384 KB |
Output is correct |
80 |
Correct |
210 ms |
51064 KB |
Output is correct |
81 |
Correct |
201 ms |
43640 KB |
Output is correct |
82 |
Correct |
156 ms |
43384 KB |
Output is correct |
83 |
Correct |
145 ms |
35576 KB |
Output is correct |
84 |
Correct |
157 ms |
43512 KB |
Output is correct |
85 |
Correct |
283 ms |
59936 KB |
Output is correct |
86 |
Correct |
271 ms |
53628 KB |
Output is correct |
87 |
Correct |
237 ms |
52216 KB |
Output is correct |
88 |
Correct |
240 ms |
52164 KB |
Output is correct |