#include <cstdio>
#include <cmath>
#include <iostream>
#include <algorithm>
#include <queue>
#include <list>
#include <vector>
#include <map>
#include <set>
#include <string>
#include <cstring>
#include <cassert>
#include <limits.h>
using namespace std;
typedef long long LL;
typedef long double LD;
typedef vector<int> VI;
typedef pair<int,int> PII;
#define REP(i,n) for(int i=0;i<(n);i++)
#define FOR(i,a,b) for(VAR(i,a);i<=(b);++i)
#define FORD(i,a,b) for(VAR(i,a);i>=(b);--i)
#define FORE(a,b) for(VAR(a,(b).begin());a!=(b).end();++a)
#define VAR(a,b) __typeof(b) a=(b)
#define SIZE(a) ((int)((a).size()))
#define ALL(x) (x).begin(),(x).end()
#define CLR(x,a) memset(x,a,sizeof(x))
#define ZERO(x) memset(x,0,sizeof(x))
#define S(t,i) scanf("%" ## t, &i)
#define SI(i) scanf("%d", &i)
const int INF=INT_MAX;
const int MAXN=500000+5;
int n;
int a[MAXN];
int as[MAXN];
long long int s[MAXN];
int compare_ints(const void* a, const void* b)
{
return *(const int*)a - *(const int*)b;
}
bool canBecomeKing(int i) {
int l = i;
while (true) {
// long long int new_weight = s[i] + as[i];
long long int new_weight = as[i] != as[1] ? s[i+1] : as[i];
int r = n+1;
while (r > l+1) {
int k = (l+r)/2;
if (new_weight <= as[k]) {
r = k;
} else {
l = k;
}
}
if (l == i) {
break;
}
i = l;
}
return l == n;
}
int main() {
ios_base::sync_with_stdio(0);
SI(n);
FOR(i, 1, n) {
SI(a[i]);
as[i] = a[i];
}
as[n+1] = INF;
qsort(as+1, n, sizeof(as[0]), compare_ints);
if (as[1] == as[n]) {
REP(i, n) {
printf("N");
}
printf("\n");
return 0;
}
long long int prev_sum = as[1];
FOR(i, 2, n+1) {
if (as[i] == as[i-1]) {
prev_sum += as[i];
s[i] = s[i-1];
} else {
s[i] = s[i-1] + prev_sum;
prev_sum = as[i];
}
}
// FOR(i, 1, n) {
// printf("%d %lld \n", as[i], s[i]);
// }
int l=0;
int r=n+1;
do {
int k = (l+r)/2;
if (canBecomeKing(k)) {
r = k;
} else {
l = k;
}
} while (r > l+1);
FOR(i, 1, n) {
if (a[i] >= as[r]) {
printf("T");
} else {
printf("N");
}
}
printf("\n");
return 0;
}
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 | #include <cstdio> #include <cmath> #include <iostream> #include <algorithm> #include <queue> #include <list> #include <vector> #include <map> #include <set> #include <string> #include <cstring> #include <cassert> #include <limits.h> using namespace std; typedef long long LL; typedef long double LD; typedef vector<int> VI; typedef pair<int,int> PII; #define REP(i,n) for(int i=0;i<(n);i++) #define FOR(i,a,b) for(VAR(i,a);i<=(b);++i) #define FORD(i,a,b) for(VAR(i,a);i>=(b);--i) #define FORE(a,b) for(VAR(a,(b).begin());a!=(b).end();++a) #define VAR(a,b) __typeof(b) a=(b) #define SIZE(a) ((int)((a).size())) #define ALL(x) (x).begin(),(x).end() #define CLR(x,a) memset(x,a,sizeof(x)) #define ZERO(x) memset(x,0,sizeof(x)) #define S(t,i) scanf("%" ## t, &i) #define SI(i) scanf("%d", &i) const int INF=INT_MAX; const int MAXN=500000+5; int n; int a[MAXN]; int as[MAXN]; long long int s[MAXN]; int compare_ints(const void* a, const void* b) { return *(const int*)a - *(const int*)b; } bool canBecomeKing(int i) { int l = i; while (true) { // long long int new_weight = s[i] + as[i]; long long int new_weight = as[i] != as[1] ? s[i+1] : as[i]; int r = n+1; while (r > l+1) { int k = (l+r)/2; if (new_weight <= as[k]) { r = k; } else { l = k; } } if (l == i) { break; } i = l; } return l == n; } int main() { ios_base::sync_with_stdio(0); SI(n); FOR(i, 1, n) { SI(a[i]); as[i] = a[i]; } as[n+1] = INF; qsort(as+1, n, sizeof(as[0]), compare_ints); if (as[1] == as[n]) { REP(i, n) { printf("N"); } printf("\n"); return 0; } long long int prev_sum = as[1]; FOR(i, 2, n+1) { if (as[i] == as[i-1]) { prev_sum += as[i]; s[i] = s[i-1]; } else { s[i] = s[i-1] + prev_sum; prev_sum = as[i]; } } // FOR(i, 1, n) { // printf("%d %lld \n", as[i], s[i]); // } int l=0; int r=n+1; do { int k = (l+r)/2; if (canBecomeKing(k)) { r = k; } else { l = k; } } while (r > l+1); FOR(i, 1, n) { if (a[i] >= as[r]) { printf("T"); } else { printf("N"); } } printf("\n"); return 0; } |
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