import java.io.BufferedReader; import java.io.IOException; import java.io.InputStreamReader; import java.util.ArrayList; import java.util.Arrays; import java.util.List; public class haz { BufferedReader rd; int[][] st; haz() throws IOException { rd = new BufferedReader(new InputStreamReader(System.in)); out(compute()); } private long compute() throws IOException { rd.readLine(); int[] a = intarr(); int n = a.length; rd.readLine(); char[] s = rd.readLine().toCharArray(); int m = s.length; int g = gcd(n,m); int mg = m/g; int[] p = new int[mg]; int c = n % m; int pos = 1; while(c != 0) { p[pos] = c; c = (c+n)%m; pos++; } List[] backs = new List[g]; for(int j=0;j<g;j++) { backs[j] = new ArrayList<int[]>(1); } for(int v=0;v<mg;v++) { for(int w=0;w<g;w++) { if(p[v] < n) { int st = p[v]+w; while(st < n) { backs[w].add(new int[] { st, (v)%mg }); st += m; } } } } long ln = n; long minSteps = Long.MAX_VALUE; int[] sc = new int[Integer.highestOneBit(2*mg + 1)<<1]; Arrays.fill(sc, 2*mg+1, sc.length, 1_000_000_000); alloc(sc); for(int b=0;b<g;b++) { for(int i=0;i<2*mg;i++) { sc[i+1] = sc[i] + (s[p[i%mg]+b]=='W'?1:-1); } init(sc); int cycleDiff = sc[mg]; for(Object vv: backs[b]) { int[] v = (int[])vv; int i = v[0]; int start = v[1]; int min = query(sc, start, start + mg) - sc[start]; if(min < 0) { long tm = i; long cur = a[i]; boolean endless = false; if(cur + min > 0) { if(cycleDiff < 0) { long cycles = (cur + min) / -cycleDiff + 1; if(((cur+min) % -cycleDiff) == 0) { cycles--; } tm += cycles * mg * ln; cur += cycleDiff * cycles; } else { endless = true; } } if(!endless) { int ev = (int)-cur; int from = start; int to = start + mg; while(to - from > 1) { int mid = (from + to) / 2; if(query(sc, from, mid) - sc[start] > ev) { from = mid+1; } else { to = mid; } } for(int k=from;k<=Math.max(from,to);k++) { if(sc[k] - sc[start] <= ev) { tm += (k - start - 1) * ln + 1; break; } } minSteps = Math.min(minSteps, tm); } } } } return minSteps==Long.MAX_VALUE?-1:minSteps; } private void alloc(int[] a) { int n = a.length; int ml = Integer.numberOfTrailingZeros(Integer.highestOneBit(n))+1; st = new int[n][ml]; } private void init(int[] a) { int n = a.length; int ml = Integer.numberOfTrailingZeros(Integer.highestOneBit(n))+1; for(int i=0;i<n;i++) { st[i][0] = i; } for(int j = 1;j < ml;j++) { for(int i = 0; i + (1 << j) - 1 < n;i++) { if(a[st[i][j-1]] < a[st[i + (1 << (j-1))][j-1]]) { st[i][j] = st[i][j-1]; } else { st[i][j] = st[i + (1 << (j-1))][j-1]; } } } } private int query(int[] a, int left, int right) { int c = right - left + 1; int d = Integer.numberOfTrailingZeros(Integer.highestOneBit(c)); return Math.min(a[st[left][d]], a[st[right-(1<<d)+1][d]]); } private int gcd(int a, int b) { while (b > 0) { int c = a % b; a = b; b = c; } return a; } private int[] intarr() throws IOException { return intarr(rd.readLine()); } private int[] intarr(String s) { String[] q = split(s); int n = q.length; int[] a = new int[n]; for(int i=0;i<n;i++) { a[i] = Integer.parseInt(q[i]); } return a; } public String[] split(String s) { if(s == null) { return new String[0]; } int n = s.length(); int start = -1; int end = 0; int sp = 0; boolean lastWhitespace = true; for(int i=0;i<n;i++) { char c = s.charAt(i); if(isWhitespace(c)) { lastWhitespace = true; } else { if(lastWhitespace) { sp++; } if(start == -1) { start = i; } end = i; lastWhitespace = false; } } if(start == -1) { return new String[0]; } String[] res = new String[sp]; int last = start; int x = 0; lastWhitespace = true; for(int i=start;i<=end;i++) { char c = s.charAt(i); boolean w = isWhitespace(c); if(w && !lastWhitespace) { res[x++] = s.substring(last,i); } else if(!w && lastWhitespace) { last = i; } lastWhitespace = w; } res[x] = s.substring(last,end+1); return res; } private boolean isWhitespace(char c) { return c==' ' || c=='\t'; } private static void out(Object x) { System.out.println(x); } public static void main(String[] args) throws IOException { new haz(); } }
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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 | import java.io.BufferedReader; import java.io.IOException; import java.io.InputStreamReader; import java.util.ArrayList; import java.util.Arrays; import java.util.List; public class haz { BufferedReader rd; int[][] st; haz() throws IOException { rd = new BufferedReader(new InputStreamReader(System.in)); out(compute()); } private long compute() throws IOException { rd.readLine(); int[] a = intarr(); int n = a.length; rd.readLine(); char[] s = rd.readLine().toCharArray(); int m = s.length; int g = gcd(n,m); int mg = m/g; int[] p = new int[mg]; int c = n % m; int pos = 1; while(c != 0) { p[pos] = c; c = (c+n)%m; pos++; } List[] backs = new List[g]; for(int j=0;j<g;j++) { backs[j] = new ArrayList<int[]>(1); } for(int v=0;v<mg;v++) { for(int w=0;w<g;w++) { if(p[v] < n) { int st = p[v]+w; while(st < n) { backs[w].add(new int[] { st, (v)%mg }); st += m; } } } } long ln = n; long minSteps = Long.MAX_VALUE; int[] sc = new int[Integer.highestOneBit(2*mg + 1)<<1]; Arrays.fill(sc, 2*mg+1, sc.length, 1_000_000_000); alloc(sc); for(int b=0;b<g;b++) { for(int i=0;i<2*mg;i++) { sc[i+1] = sc[i] + (s[p[i%mg]+b]=='W'?1:-1); } init(sc); int cycleDiff = sc[mg]; for(Object vv: backs[b]) { int[] v = (int[])vv; int i = v[0]; int start = v[1]; int min = query(sc, start, start + mg) - sc[start]; if(min < 0) { long tm = i; long cur = a[i]; boolean endless = false; if(cur + min > 0) { if(cycleDiff < 0) { long cycles = (cur + min) / -cycleDiff + 1; if(((cur+min) % -cycleDiff) == 0) { cycles--; } tm += cycles * mg * ln; cur += cycleDiff * cycles; } else { endless = true; } } if(!endless) { int ev = (int)-cur; int from = start; int to = start + mg; while(to - from > 1) { int mid = (from + to) / 2; if(query(sc, from, mid) - sc[start] > ev) { from = mid+1; } else { to = mid; } } for(int k=from;k<=Math.max(from,to);k++) { if(sc[k] - sc[start] <= ev) { tm += (k - start - 1) * ln + 1; break; } } minSteps = Math.min(minSteps, tm); } } } } return minSteps==Long.MAX_VALUE?-1:minSteps; } private void alloc(int[] a) { int n = a.length; int ml = Integer.numberOfTrailingZeros(Integer.highestOneBit(n))+1; st = new int[n][ml]; } private void init(int[] a) { int n = a.length; int ml = Integer.numberOfTrailingZeros(Integer.highestOneBit(n))+1; for(int i=0;i<n;i++) { st[i][0] = i; } for(int j = 1;j < ml;j++) { for(int i = 0; i + (1 << j) - 1 < n;i++) { if(a[st[i][j-1]] < a[st[i + (1 << (j-1))][j-1]]) { st[i][j] = st[i][j-1]; } else { st[i][j] = st[i + (1 << (j-1))][j-1]; } } } } private int query(int[] a, int left, int right) { int c = right - left + 1; int d = Integer.numberOfTrailingZeros(Integer.highestOneBit(c)); return Math.min(a[st[left][d]], a[st[right-(1<<d)+1][d]]); } private int gcd(int a, int b) { while (b > 0) { int c = a % b; a = b; b = c; } return a; } private int[] intarr() throws IOException { return intarr(rd.readLine()); } private int[] intarr(String s) { String[] q = split(s); int n = q.length; int[] a = new int[n]; for(int i=0;i<n;i++) { a[i] = Integer.parseInt(q[i]); } return a; } public String[] split(String s) { if(s == null) { return new String[0]; } int n = s.length(); int start = -1; int end = 0; int sp = 0; boolean lastWhitespace = true; for(int i=0;i<n;i++) { char c = s.charAt(i); if(isWhitespace(c)) { lastWhitespace = true; } else { if(lastWhitespace) { sp++; } if(start == -1) { start = i; } end = i; lastWhitespace = false; } } if(start == -1) { return new String[0]; } String[] res = new String[sp]; int last = start; int x = 0; lastWhitespace = true; for(int i=start;i<=end;i++) { char c = s.charAt(i); boolean w = isWhitespace(c); if(w && !lastWhitespace) { res[x++] = s.substring(last,i); } else if(!w && lastWhitespace) { last = i; } lastWhitespace = w; } res[x] = s.substring(last,end+1); return res; } private boolean isWhitespace(char c) { return c==' ' || c=='\t'; } private static void out(Object x) { System.out.println(x); } public static void main(String[] args) throws IOException { new haz(); } } |